info@viam.science.tsu.ge (+995 32) 2 30 30 40 (+995 32) 2 18 66 45

Kartlos Joseph Kachiashvili

  • Probability Theory and Mathematical Statistics Department
    Senior Researcher
  • Office: room 107, University str.11, 0186 Tbilisi, Georgia
  • Phone: .
  • E-mail: k.kachiashvili@gtu.ge
  • Research fields: Mathematical Statistics, Computational Mathematics, Mathematics Modeling and imitation, development of new computer technologies, Data analysis (environment, agriculture, medicine), systemic Analysis (environmental water pollution).

Summary

EDUCATION:
School (1957-1967). Graduated with Gold Medal.
Electronic engineer. Georgian Polytechnic Institute. Specialty “Electronic computing Machinery”. Diploma with Honors. Tbilisi (1967-1972).
M-4000 super computer maintenance, Kiev, Ukraine (September-December of 1972).
Applied mathematics. Post-graduate course at the Moscow Power Institute (Technical University) – МЭИ, chair of applied mathematics, Moscow, Russia (1974-1978).
Candidate of Sciences (Cand. of Sc.). (Ph.D.) (March, 1978) Specialty: “Technical Cybernetics and Information Theory”. Thesis was defended in Moscow Power Institute (Technical University) – МЭИ (Russia). Thesis theme: “Detection and Tracking of moving object on the basis of radio location measurement information”.
Doctor of Sciences (Dr. of Sc.) (October, 1990) Specialties: “Application of computer science techniques, mathematical simulation and mathematical methods in research” and “Instruments and Methods for controlling the natural environment, substances, materials and goods”. Thesis was defended in D. Mendeleev University of Chemical Technology of Russia (Moscow). Thesis title: “Mathematical models, methods and algorithms of the system automation of water media contamination level control”.
Member (Academician) of Georgian National Academy of Science (2022)

EXPERIENCE:
09.2011:
Full professor of Georgian Technical University, Faculty of Informatics and Control Systems.
Main Scientific Worker of the I. Vekua Institute of Applied Mathematics of the Tbilisi State University (Tbilisi, Georgia).
Development of original methods and software of statistical inference. Development of high reliable and economic methods of verification in biometric systems.
09. 2007-09. 2012:
Foreign Professor of Abdus Salam School of Mathematical Sciences of GC University, Lahore (Pakistan).
Main Scientific Worker of the I. Vekua Institute of Applied Mathematics of the Tbilisi State University (on a voluntary basis) (Tbilisi, Georgia).
Development of new, original methods (unconstrained, constrained and sequential) of statistical hypotheses testing of Bayesian type. Development of mathematical models and methods for the solution of the problems of sustainable development of production.
Supervisor of two post-graduate students which have defended the following theses for PhD on 07.05.11: 1. Bayesian Approach of Testing Many Hypotheses Concerning Parameters of Multivariate Normal Distribution; 2. Generalization of Bayesian Approach of Testing Many Hypotheses as Conditional Optimization Problem.
08. 2001-09. 2007:
Main Scientific Worker of the I. Vekua Institute of Applied Mathema¬tics of the Tbilisi State University (Tbilisi, Geor¬gia).
Full professor of Georgian Technical University, Faculty of Informatics and Control Systems.
Development of environmental protection mathematical methods and facilities. Processing of environmental, agricultural, medicine data by methods of applied mathematics on the IBM – compatible personal computers. Development of mathematical methods and software for data analysis. Development of methods and algorithms of the Mathematical Statistics.
1992-2001: Head of National Center of Environmental Monitoring (Tbilisi, Georgia).
Full professor of Georgian Technical University, Faculty of Informatics and Control Systems.
Main Scientific Worker of the I. Vekua Institute of Applied Mathema¬tics of the Tbilisi State University (Tbilisi, Georgia) (combined job).
To manage and control environmental monitoring actions, strategy and policy realized by national center of Environmental Monitoring of the Ministry of Environment Protection of Georgia; to participate in the development of strategy, policy and national legislation of the environmental monitoring of Georgia.

Projects

Talks

  • Comparison of Constrained Bayesian and Clssical Methods of Testing Statistical Hypotheses in Sequential Experiments, by Kartlos Joseph Kachiashvili (Speaker) at XXXVIII International Enlarged Sessions of the Seminar of Ilia Vekua Institute of Applied Mathematics of Ivane Javakhisvili Tbilisi State University, Tbilisi, Georgia, 22-24 April, 2024.
  • Quasi-optimal rule of testing directional hypotheses, by Kartlos Joseph Kachiashvili (Speaker) at XXXVII International Enlarged Sessions of the Seminar of Ilia Vekua Institute of Applied Mathematics of Ivane Javakhisvili Tbilisi State University, Tbilisi, Georgia, 19-22 April, 2023.
  • One Approach for Testing Asymmetrical Hypotheses, by Kartlos Joseph Kachiashvili (Speaker) at XII International Conference of the Georgian Mathematical Union, Batumi, Georgia, from 29 August to 03 September, 2022.
  • Simulation models describing pollution processes in the environmental water objects, by Kartlos Joseph Kachiashvili (Speaker), G. K. Kachiashvili, Vakhtang Kvaratskhelia at XIII Annual International Meeting of the Georgian Mechanical Union, Batumi, Georgia, 24-26 August, 2022.
  • Methods of Testing Hypotheses Concerning Normal Distribution with Equal Parameters, by Kartlos Joseph Kachiashvili (Speaker) at Webinar "Recent Trends in Statistical Theory and Applications (WSTA 2022)", Trivandrum, India, from 29 June to 02 July, 2022.
  • Constrained Bayesian Methods for Testing Directional Hypotheses, by Kartlos Joseph Kachiashvili (Speaker) at Seventh International Conference on Statistics for Twenty-first Century [ICSTC-2021], Trivandrum, India, 15-19 December, 2021.
  • Testing Hypotheses Concerning Equal Parameters of Normal Distribution, by Kartlos Joseph Kachiashvili (Speaker) at XI International Conference of the Georgian Mathematical Union, Batumi, Georgia, 23-28 August, 2021.
  • Parameters’ Estimation of Some Irregular Probability Distributions, by Kartlos Joseph Kachiashvili (Speaker) at International Conference „Recent Trends in Statistical Theory and Applications (WSTA 2021)“, Trivandrum, India, from 29 June to 01 July, 2021.
  • Existing Approaches and Development Perspectives for Inferences, by Kartlos Joseph Kachiashvili (Speaker) at The XXXV International Enlarged Sessions of the Seminar of Ilia Vekua Institute of Applied Mathematics of Ivane Javakhisvili Tbilisi State University, Tbilisi, Georgia, 21-24 April, 2021.
  • Constrained Bayesian Methods for Testing Different Types of Hypotheses, by Kartlos Joseph Kachiashvili (Speaker) at Sixth International Conference on Statistics for Twenty-first Century-2020 (ICSTC 2020), Trivandrum, India, 16-19 December, 2020.
  • Identification of regression dependences at passive and active experiments., by Kartlos Joseph Kachiashvili (Speaker) at The XXXIV International Enlarged Sessions of the Seminar of Ilia Vekua Institute of Applied Mathematics of Ivane Javakhisvili Tbilisi State University, Tbilisi, Georgia, 16-19 September, 2020.
  • Modeling of Multidimensional Gaussian Markov Real Processes Having Memory with Given Accuracy, by Kartlos Joseph Kachiashvili (Speaker) at XI Annual International Meeting of the Georgian Mechanical Union, Batumi, Georgia, 27-29 August, 2020.
  • Quasi-optimal Rule of Testing Directional Hypotheses, by Kartlos Joseph Kachiashvili (Speaker) at International conference “Strategic Management, Decision Theory & Data Science”, Kolkata, India, 04-06 January, 2020.
  • Application of CBM for Directional Hypotheses Testing in Sequential Experiments with Restriction of False Discovery Rates., by Kartlos Joseph Kachiashvili (Speaker), Iveri Prangishvili, Joseph Kachiashvili at The 7th International Workshop in Sequential Methodologies, New York, USA, 18-21 June, 2019.
  • An Example of Application of CBM to Intersection-Union Hypotheses Testing, by Kartlos Joseph Kachiashvili (Speaker) at XXXIII Enlarged Sessions of the Seminar of Ilia Vekua Institute of Applied Mathematics of Ivane Javakhishvili Tbilisi State University, Tbilisi, Georgia, 23-25 April, 2019.
  • Investigation of Constrained Bayesian Methods for Testing Directional Hypotheses in Relation to the Concepts of False Discovery Rates, by Kartlos Joseph Kachiashvili (Speaker), Iveri Prangishvili, Joseph Kachiashvili at The International Conference on Applied Probability and Statistics (CAPS 2019), Hanoi, Vietnam, 02-07 April, 2019.
  • Constrained Bayesian method guarantying restrictions of directional false discovery rates on the desired level at testing directional hypotheses, by Kartlos Joseph Kachiashvili (Speaker) at The fourth international conference on statistics for twenty-first certury-2018 (ICSTC-2018), Trivandrum, India, 13-15 December, 2018.
  • Constrained Bayesian Method (CBM): from the method of solving a practical problem to a new philosophy of statistical hypotheses testing, by Kartlos Joseph Kachiashvili (Speaker) at The Third International Conference „Modern Problems In Applied Mathematics“ Dedicated to the Centenary of I. Javakhishvili Tbilisi State University and 50th Anniversary of I.Vekua Institute of Applied, Tbilisi, Georgia, 18-21 September, 2018.
  • Information technologies for control and management of environmental water quality, by Kartlos Joseph Kachiashvili (Speaker) at The World Conference on Ecology (Ecology-2018), Berlin, Germany, 19-20 March, 2018.
  • Generalization of Constrained Bayesian Method and its application to the Directional Hypotheses, by Kartlos Joseph Kachiashvili (Speaker) at The Third International Conference Statistics for Twenty-First Century-2017 (ICSTC-2017), Trivandrum, India, 14-16 December, 2017.
  • Constrained Bayesian Method for making decision in parallel and sequential experiments, by Kartlos Joseph Kachiashvili (Speaker) at The Sixth International Workshop in Sequential Methodologies (IWSM 2017), Rouen, France, 20-23 June, 2017.
  • Verification in Biometric Systems Using Statistical Inference Techniques, by Kartlos Joseph Kachiashvili (Speaker) at The Second International Conference on “Statistics for Twenty-first Century” [ICSTC-2016], Trivandrum, India, 21-23 December, 2016.
  • Software for Pollutants Transport in Rivers and for Identification of Excessive Pollution Sources, by Kartlos Joseph Kachiashvili (Speaker) at The International Society for Ecological Modelling Global Conference 2016 (iEMSs 2016), Towson University, USA, 08-12 May, 2016.
  • Biometric verification on the basis of measurement information of a fingerprint reader , by Kartlos Joseph Kachiashvili (Speaker) at The XXX Enlarged Sessions of the Seminar of I. Vekua Institute of Applied Mathematics, Tbilisi, Georgia, 20-22 April, 2016.
  • Constrained Methods of Bayes Type of Composite Hypotheses Testing, by Kartlos Joseph Kachiashvili (Speaker) at The International Conference on Statistics for Twenty-first Century [ICSTC-2015], Trivandrum, India, 17-19 December, 2015.
  • Parameters Estimators of a Family of Irregular Distributions, by Kartlos Joseph Kachiashvili (Speaker) at The International Scientific Conference Dedicated to Academician I. Prangishvili’s 85th Anniversary “Information and Computer Technologies, Modeling, Control”, Tbilisi, Georgia, 03-05 November, 2015.
  • Constrained Bayesian Method for Testing Hypotheses: Singularities and Ratio with Existed Approaches, by Kartlos Joseph Kachiashvili (Speaker) at The International Statistics Conference, Colombo, Sri Lanka, 28-30 December, 2014.
  • Investigation of Constrained Bayesian Methods of Hypotheses Testing with Respect to Classical Methods, by Kartlos Joseph Kachiashvili (Speaker) at IICMA, IndoMS International Conference on Mathematics and its Applications, Yogyakarta, Indonesia, 06-08 November, 2013.
  • Models of Sustainable Development of Production, by Kartlos Joseph Kachiashvili (Speaker) at VII International Conference on Operations Research, (ORM2013), Moscow, Russia, 15-19 October, 2013.
  • Comparison Analysis of the Wald’s and the Bayes Type Sequential Methods for Testing Hypotheses, by Kartlos Joseph Kachiashvili (Speaker) at International Conference on Mathematics, Statistics and Scientific Computing (ICMSSC 2012), Dubai, UAE, 08-09 October, 2013.
  • The Results of Investigation of Statistical Hypotheses Testing Methods, by Kartlos Joseph Kachiashvili (Speaker) at Second International Conference “Modern Problems in Applied Mathematics”, Dedicated to the 95th Anniversary of the I. Javakhishvili Tbilisi State University & 45th Anniversary of the I. Vekua Institut, Tbilisi, Georgia, 04-07 September, 2013.
  • Sequential Analysis methods of Bayesian Type for Testing Hypotheses, by Kartlos Joseph Kachiashvili (Speaker) at Fourth International Workshop in Sequential Methodologies, Tbilisi, Georgia, 17-21 July, 2013.
  • An Approach to the Determination of the Optimal Value of the Factors Influencing the Economic Development Proces, by Kartlos Joseph Kachiashvili (Speaker) at 7th Silk Road International Conference, Tbilisi-Batumi, Georgia, from 02 January to 08 August, 2012.
  • Comparison Analysis of Unconditional and Conditional Bayesian Problems of Testing Many Hypotheses, by Kartlos Joseph Kachiashvili (Speaker) at International scienti­fic-Technical confe­rence “Automated Control Systems and Modern Informa­tion Technologies”, Tbilisi, Georgia, 20-22 May, 2011.
  • Computation of Risk Function in Conditional Bayesian Problem of Testing Many Hypotheses., by Kartlos Joseph Kachiashvili (Speaker) at International confe­rence “Challenges in Statistics and Opera­tions Research” CSOR , Kuwait, 08-10 March, 2011.
  • Bayesian Approach of Testing Many Hypotheses Concerning Parameters of Multivariate Normal Distribution, by Kartlos Joseph Kachiashvili (Speaker) at The 5TH World Conferen­ce on 21st Century Mathematics , Lahore, Pakistan, 09-13 February, 2011.
  • Generalization of Bayesian approach of testing many hypotheses as conditional optimization problem, by Kartlos Joseph Kachiashvili (Speaker) at The 5TH World Conferen­ce on 21st Century Mathematics, Lahore, Pakistan, 09-13 February, 2011.
  • Investigation of Pollution Levels of the Khobistskali’s Basin Rivers, by Kartlos Joseph Kachiashvili (Speaker) at International Scienti­fic-Technical Confe­rence “Protection of the Environment and Sustainable Develop­ment”, Tbilisi, Georgia, 10-12 November, 2010.
  • Modern Software for the Environmental Modeling and Statistical Data Analysis, by Kartlos Joseph Kachiashvili (Speaker) at World conference on Information technology (WCIT-2010), Istanbul, Turkey, 06-10 October, 2010.
  • On Analytical Finding Probability Distribution Law of Linear Combina­tion of Exponent of Qua­dratic Forms of Normally Distributed Random Vectors, by Kartlos Joseph Kachiashvili (Speaker) at The 4th World Conference on 21st Century Mathematics, Lahore, Pakistan, 04-08 March, 2009.
  • The Problem of Choos­ing Losses Function in Bayesian Problem of Many Hypotheses Tes­ting and Opportunities of Their Overcoming, by Kartlos Joseph Kachiashvili (Speaker) at The 4th World Conference on 21st Century Mathematics, Lahore, Pakistan, 04-08 March, 2009.
  • The statistical risk ana­ly­sis as the basis of the sustainable develop­ment., by Kartlos Joseph Kachiashvili (Speaker) at The 4th IEEE International Conference on Management of Innovation & Technology (ICMIT2008) , Bangkok, Thailand, 21-24 September, 2008.
  • Special program pack­age for experimental data processing, by Kartlos Joseph Kachiashvili (Speaker) at 2nd Internati­onal Con­fe­rence on Mathema­tics and its Applica­tions in Infor­ma­tion Technology, Lahore, Pakistan, 09-12 March, 2008.
  • Software realization problems of mathematical models of pollutants transport in rivers, by Kartlos Joseph Kachiashvili (Speaker), David Gordeziani, David Melikdzhanian at ISAAC CONFERENCE on Complex Analysis, Partial Differential Equations, and Mechanics of Continua, Dedicated to Centenary of Ilia Vekua, Tbilisi, Georgia, 23-27 April, 2007.
  • The program devices de­ve­lop­ment for storage and statistical processing of the gerontology data, by Kartlos Joseph Kachiashvili (Speaker) at 1st inter­na­ti­onal conference “Tra­di­tional Medicine and Dietology – A Way to Caucasian Lon­­gevity”, Likani, Georgia, 17-21 July, 2006.
  • Environmental pollution control program. The Black Sea coastal region of Georgia, by Kartlos Joseph Kachiashvili (Speaker) at Regional Conference “Agricultural Nutrient Management in the Danube, Black Sea and Baltic sea Riparian Countries”, “Agricul­tu­re Research, Exten­sion and Train­ing pro­ject”, Tbilisi, Georgia, 10-12 November, 2005.
  • Both deterministic and stochastic mathematical models of river water pollution level control and management and their realization as applied program package, by Kartlos Joseph Kachiashvili (Speaker) at VIth International Congress of Hydrologists, Petersburg, Russia, 06-08 November, 2004.
  • Research on influence of traditional and modern agricultural methods and technology on a level of pollution of the rivers both agricultural areas, by Kartlos Joseph Kachiashvili (Speaker), D. Nakani at International Engineering Management Conference, Innovation and Entrepreneurship for Sustainable Development, Singapore, 18-21 October, 2004.
  • General Methodology of Parameters Estimation of Non-linear Regressions by Modified Least Squares Criterion, by Kartlos Joseph Kachiashvili (Speaker) at Second Federal Interagency Hydrologic Modeling Conference, Las Vegas, Nevada, from 28 July to 01 August, 2002.
  • Transport of pollutants in two estuarine system in the cost of Georgia, by Kartlos Joseph Kachiashvili (Speaker) at 10th International sym­po­sium on solubility phenomena, Varna, Bulgaria, 01-03 July, 2002.
  • Modeling of hydrological series and level of river water pollution with the help of multi-dimen­si­onal Markov series, by Kartlos Joseph Kachiashvili (Speaker) at Integrated Transboundary Water Management, Traverse city, Michigan, 01 January, 2002.
  • Environmental problems from the use of small rivers for the disposal of industrial effluents, by Kartlos Joseph Kachiashvili (Speaker) at The 11th Interna­tional Symposium on Environmental Pol­lution and its Impact on Life in the Medi­ter­ranean Region, Limassol, Cyprus, 06-10 October, 2001.
  • The automated system of monitoring of quality fluvial and sewages, by Kartlos Joseph Kachiashvili (Speaker), V. Stepanishvili at Specialty Symposium on Urban Drainage Modeling at the World Water and Environmental Resources Congress , Orlando, Florida, 20-24 May, 2001.

Publications

  • Kartlos Joseph Kachiashvili, Vakhtang Kvaratskhelia, Archil Prangishvili, Comparison of Constrained Bayesian and Classical Methods of Testing Statistical Hypotheses in Sequential Experiments, System Analysis and Artificial Intelligence. Studies in Computational Intelligence, vol 1107, (Pages 289-306), Springer, Cham, 2023.
  • Kartlos Joseph Kachiashvili, Testing Statistical Hypotheses with Given Reliability, Cambridge Scholars Publishing, UK, 322 p. (In English) , Cambridge, 2023.
  • Kartlos Joseph Kachiashvili, A Brief Review of Existing Approaches of Statistical Hypotheses Testing, Academia Letters, Article 5920, Academia Letters, 2022.
  • Kartlos Joseph Kachiashvili, Vakhtang Kvaratskhelia, The Use of Imitation Models at Developing and Introducing Information-Control Systems, Journal of Software Engineering and Applications, 15(7), 240-247, Journal of Software Engineering and Applications, 2022.
  • Kartlos Joseph Kachiashvili, Constrained Bayesian Rules for Testing Statistical Hypotheses, Book Chapter, Ed-s B. K. Sinha and S. B. Bagchi, Strategic Management, Decision Theory, and Decision Science, 159-176, Springer Nature book, 2021.
  • Kartlos Joseph Kachiashvili, Existing Approaches and Development Perspectives for Inferences, International Journal of Statistics in Medical Research, 10, 63-71, Medical Research, 2021.
  • Kartlos Joseph Kachiashvili, Machine learning methods and algorithms (methodical instructions for seminar work), Book, 28 p., Georgian Technical University, 2021.
  • Kartlos Joseph Kachiashvili, Joseph Kachiashvili, Archil Prangishvili, CBM for Testing Multiple Hypotheses with Directional Alternativs in Seuqential Experiments, Sequential Analysis, 39(1): 115-131, Taylor & Francis, 2020.
  • Kartlos Joseph Kachiashvili, Information Technologies for Control and Management of Environmental Water Quality, Acta Scientific Microbiology, 3(11): 89-94, Acta Scientific, 2020.
  • Kartlos Joseph Kachiashvili, Joseph Kachiashvili, Indexes for Classification of Populations According to the Intensity of Cancer Diseases, Advances in Canser Research & Clinical Imegine, 2(4): 1-6, Iris publishers, 2020.
  • Kartlos Joseph Kachiashvili, Iveri Prangishvili, Joseph Kachiashvili, Constrained Bayesian Methods for Testing Directional Hypotheses Restricted False Discovery Rates, Biostat Biometrics Open Acc, 9(3): 1-10, Juniper Publishers, 2019.
  • Kartlos Joseph Kachiashvili, An Example of Application of CBM to Intersection-Union Hypotheses Testing, Biomedical Journal of Scientific & Technical Research, 19(3): 14345-14346, BJSTR Publishers, 2019.
  • Kartlos Joseph Kachiashvili, Modern State of Statistical Hypotheses Testing and Perspectives of Its Development, Biostat Biometrics Open Acc, 9(2): 555-759, Juniper Publishers, 2019.
  • Kartlos Joseph Kachiashvili, Naveen Bansal, Iveri Prangishvili, Constrained Bayesian Method for Testing the Directional Hypotheses, Journal of Mathematics and System Science, 8: 96-118, David Publishing Company (DPC), 2018.
  • Kartlos Joseph Kachiashvili, On One Aspect of Constrained Bayesian Method for Testing Directional Hypotheses, Biomed J Sci &Tech Res, 2(5): 1-3, Biomed J Sci &Tech Res, 2018.
  • Kartlos Joseph Kachiashvili, Systems Analysis of Environmental Water Quality Control and Management and some Appropriate Modern Software, Ecology, Pollution and Environmental science: Open Access ( EEO ), 1(1): 50-57, Ecology, Pollution and Environmental science, 2018.
  • Kartlos Joseph Kachiashvili, David Melikdzhanian, Estimators of the Parameters of Beta Distribution, Sankhya B: The Indian Journal of Statistics, 81(2), 350-373, Springer Nature, 2018.
  • Kartlos Joseph Kachiashvili, Constrained Bayesian Methods of Hypotheses Testing: A New Philosophy of Hypotheses Testing in Parallel and Sequential Experiments, 361 p., Nova Science Publishers, Inc., New York, 2018.
  • Kartlos Joseph Kachiashvili, David Gordeziani, David Melikdzhanian, V. Stepanishvili, V. Khuchua, Software packages for automation of environmental monitoring and experimental data processing, Book, Geoecology and Computers, Chapter 43, 273-278, Taylor & Francis, 2018.
  • Kartlos Joseph Kachiashvili, EDITORIAL: Some Ways of Resolution of Current Environmental Problems, MOJ Ecology & Environmental Science, 2(7): 288, MedCrave Publishing, 2017.
  • Kartlos Joseph Kachiashvili, The Impact of Applied Agricultural Technologies on the Productivity of Agricultural Lands, International Journal of Research Studies in Agricultural Sciences (IJRSAS), 3(4): 9-21, ARC Publications, 2017.
  • Kartlos Joseph Kachiashvili, Alexander Topchishvili, Parameters estimators of irregular right-angled triangular distribution, Model Assisted Statistics and Applications, 11: 179-184, IOS Press, Amsterdam, Holland, 2016.
  • Kartlos Joseph Kachiashvili, EDITORIAL: Inference in Clinical Experiments, International Journal of Statistics in Medical Research, 5(3): 133-134, Int. J. Statistics in Medical Research, 2016.
  • Kartlos Joseph Kachiashvili, Constrained Bayesian Method of Composite Hypotheses Testing: Singularities and Capabilities, International Journal of Statistics in Medical Research, 5(3): 135-167, Canada, Lifescience Global, 2016.
  • Kartlos Joseph Kachiashvili, David Melikdzhanian, Software for Pollutants Transport in Rivers and for Identification of Excessive Pollution Sources, MOJ Ecology & Environmental Science, 1(1): 1-8, MedCrave Publishing, 2016.
  • Kartlos Joseph Kachiashvili, Archil Prangishvili, Verification in biometric systems: problems and modern methods of their solution, Journal of Applied Statistics, 45(1): 43-62, Journal of Applied Statistics, 2016.
  • Kartlos Joseph Kachiashvili, David Melikdzhanian, Archil Prangishvili, Computing Algorithms for Solutions of Problems in Applied Mathematics and Their Standard Program Realization. Part 1-Deterministic Mathematics, 388 pages, Nova Science Publishers, Inc., 2015.
  • Kartlos Joseph Kachiashvili, Constrained Bayesian Method for Testing Multiple Hypotheses in Sequential Experiments, Sequential Analysis: Design Methods and Applications, 34(2): 171-186, Taylor & Francis Group, London, UK, 2015.
  • Kartlos Joseph Kachiashvili, David Melikdzhanian, Software for statistical hypotheses testing, International Journal of Modern Sciences and Engineering Technology (IJMSET), 2(4): 33-52, Inc, Scottsdale, Arizona, USA, 2015.
  • Archil Prangishvili, Kartlos Joseph Kachiashvili, David Melikdzhanian, Computing Algorithms for Solutions of Problems in Applied Mathematics and Their Standard Program Realization. Part 2- Stochastic Mathematics, 376 pages, Nova Science Publishers, Inc., New York, 2015.
  • Kartlos Joseph Kachiashvili, Investigation of the method of sequential analysis of Bayesian type, Journal of Advances in Mathematics, 18(1): 1367-1380, KHALSA PUBLICATION, 2014.
  • Kartlos Joseph Kachiashvili, Probability of errors in sequential methods of Bayesian type, Reports of Enlarged Session of the Seminar of I. Vekua Institute of Applied Mathematics, 28: 58-61, Tbilisi Yniversity press, 2014.
  • Kartlos Joseph Kachiashvili, The Methods of Sequential Analysis of Bayesian Type for the Multiple Testing Problem, Sequential Analysis, 33(1): 23-38, Taylor & Francis Group, 2014.
  • Kartlos Joseph Kachiashvili, Comparison of Some Methods of Testing Statistical Hypotheses. Part II. Sequential Methods, International Journal of Statistics in Medical Research, 3: 189-197, Published by: Lifescience Globa, 2014.
  • Kartlos Joseph Kachiashvili, Comparison of Some Methods of Testing Statistical Hypotheses. (Part I. Parallel Methods), International Journal of Statistics in Medical Research, 3(2): 174-189, Published by: Lifescience Global, 2014.
  • Kartlos Joseph Kachiashvili, Business Process Modeling, text-book 237 pages, electronic text-book, 2013.
  • Kartlos Joseph Kachiashvili, Budi Nurani, Statistical Models and Simulation by SPSS, 353 p., Publisher “Alfabeta”, Bandung, Indonesia, 2013.
  • Kartlos Joseph Kachiashvili, Mueed Abdul , Conditional Bayesian Task of Testing Many Hypotheses, Statistics: A Journal of Theoretical and Applied Statistics, 47(2): 274-293, Taylor & Francis, 2013.
  • Kartlos Joseph Kachiashvili, Comparison Analysis of the Wald’s and the Bayes Type Sequential Methods for Testing Hypotheses, World Academy of Science, Engineering and Technology, p. 82-86, International J. of Engineering, Mathematical and Physical Sciences, 2012.
  • Kartlos Joseph Kachiashvili, David Melikdzhanian, Advanced Modeling and Computer Technologies for Fluvial Water Quali­ty Research and Control, 348 pages, Nova Science Publishers, Inc., 2012.
  • Kartlos Joseph Kachiashvili, Hashmi Muntazim , Mueed Abdul , Quasi-optimal Bayesian procedures of many hypotheses testing, Journal of Applied Statistics, 40(1): 103–122, Journal of Applied Statistics, 2012.
  • G. K. Kachiashvili, Kartlos Joseph Kachiashvili, Mueed Abdul , Specific Features of Regions of Acceptance of Hypotheses in Conditional Bayesian Problems of Statistical Hypotheses Testing, Sankhya: The Indian Journal of Statistics, 74(1): 112-125, Springer Nature, 2012.
  • Kartlos Joseph Kachiashvili, Hashmi Muntazim , Mueed Abdul , Sensitivity Analysis of Classical and Conditional Bayesian Problems of Many Hypotheses Testing, Communications in Statistics—Theory and Methods, 41(4): 591–605, Taylor & Francis, 2012.
  • Kartlos Joseph Kachiashvili, Hashmi Muntazim , Computation of the Multivariate Normal Integral over a Complex Subspace, Applied Mathematics, 3(5): 489-498, Publishing, Inc. in Applied Mathematics, 2012.
  • Kartlos Joseph Kachiashvili, Hashmi Muntazim , Mueed Abdul , The Statistical Risk Analysis as the Basis of the Sustainable Development, Int. J. of Innovation and Technol. Management (World Scientific Publishing Company), 9(3): 1-10, Taylor & Francis, 2012.
  • Kartlos Joseph Kachiashvili, David Melikdzhanian, Program Package for Decision Making, V. Khachidze et al. (Eds.): iCETS 2012, CCIS 332 (China), Springer-Verlag Berlin Heidelberg, 530–540, Springer, 2012.
  • Kartlos Joseph Kachiashvili, Investigation and Computation of Unconditional and Conditional Bayesian Problems of Hypothesis Testing, ARPN Journal of Systems and Software, 1(2): 47-59, ARPN, 2011.
  • Kartlos Joseph Kachiashvili, Hashmi Muntazim , Mueed Abdul , Comparison Analysis of Unconditional and Conditional Bayesian Problems of Testing Many Hypotheses, Transactions. “Automated Control Systems”. Georgian Technical University, 1(10): 89-100, GTU Press, 2011.
  • Kartlos Joseph Kachiashvili, David Melikdzhanian, Modern Software for the Environmental Modeling and Statistical Data Analysis, Procedia Computer Science, WCIT-2010/2011/3: 439-443, Published by Elsevier, 2011.
  • Kartlos Joseph Kachiashvili, David Melikdzhanian, SDpro – The Software Package for Statistical Processing of Experi­mental Information, International Journal Information Technology & Decision Making (IJITDM), 9(1): 115-144, Internat. J. Information Technology, 2010.
  • Kartlos Joseph Kachiashvili, Hashmi Muntazim , About Using Sequential Analysis Approach for Testing Many Hypotheses, Bulletin of the Georgian Academy of Sciences, 4(2): 20-26, Georgian Academy press, 2010.
  • Kartlos Joseph Kachiashvili, David Melikdzhanian, Software for Determination of Biological Age, International Journal Current Bioinforma­tics, 4(1): 41-47, Current Bioinforma­tics, 2009.
  • Kartlos Joseph Kachiashvili, David Melikdzhanian, Software Realization Prob­lems of Mathe­ma­tical Models of Pollu­tants Transport in Ri­vers, International Journal Advances in Engineering Software, 40: 1063-1073, Elsevier, 2009.
  • Kartlos Joseph Kachiashvili, Hashmi Muntazim , Mueed Abdul , Bayesian Methods of Statistical Hypothesis Tes­ting for Solving Different Problems of Human Activity, Applied Mathematics and Informatics (AMIM), 14(2): 3-17, Tbilisi University Press, 2009.
  • Kartlos Joseph Kachiashvili, Hashmi Muntazim , On Analytical Finding Probability Distribution Law of Linear Combina­tion of Exponent of Qua­dratic Forms of Normally Distributed Random Vectors, Proceedings of 4th World Conference on 21st Century Mathematics, March 4-8, 2009, Lahore, Pakistan, 96-105, Lahore University, 2009.
  • Kartlos Joseph Kachiashvili, Mueed Abdul , The Problem of Choosing Losses Function in Bayesian Problem of Many Hypotheses Testing and Opportunities of Their Overcoming, Proceedings of 4th World Conference on 21st Century Ma­thematics, March 4-8, 2009, Lahore, Pakistan, 176-194, Lahore University, 2009.
  • Kartlos Joseph Kachiashvili, Hashmi Muntazim , Mueed Abdul , The statistical risk analysis as the basis of the sustainable development, Proceedings of the 4th IEEE International Conference on Management of Innovation & Technology (ICMIT2008), Bangkok, Thailand, 1210-1215, World Scientific Publishing Company, 2008.
  • Kartlos Joseph Kachiashvili, Budi Nurani, Prediction of Oil Production using Non Linear Regression by SDPro Software (Special Program Package), Proceedings of the 3rd International Conference on Mathematics and Statistics (ICoMS 2008), IPB Bogor, Indonesia, 1038-1045, Institut Pertanain Bogor, 2008.
  • David Gordeziani, Kartlos Joseph Kachiashvili, David Melikdzhanian, R. Lazarov , Modeling and simulation of pollutants transport in rivers, Applied Mathematical Modelling, vol, 31, no. 7, 1371-1396, Elsevier, 2007.
  • Kartlos Joseph Kachiashvili, David Gordeziani, David Melikdzhanian, Mathematical models, methods and algorithms of control and regulation of water quality in rivers, Georgian Technical University, 251 p., Georgian Technical University, 2007.
  • Kartlos Joseph Kachiashvili, N. Kutsiava, G. Tsintsadze, Iidentification of the relations among some constituents of atmospheric pollution, Georgian Engineering News, 2, 66-68., Georgian Engineering News (GEN) LTD, 2007.
  • Kartlos Joseph Kachiashvili, N. Kutsiava, G. Tsintsadze, Dependence of the atmospheric pollution on the frequency of failures of ammonia production facilities, Georgian Engineering News, 2, 69-72, Georgian Engineering News (GEN) LTD, 2007.
  • Kartlos Joseph Kachiashvili, B. Meparishvili, Medico-Sociological Data Computer Base Of Georgian Old Citizens , Transactions. Georgian Technical University. AUTOMATED CONTROL SYSTEMS - No 1(2),181-184, Technical University press, 2007.
  • Kartlos Joseph Kachiashvili, David Melikdzhanian, Identification of River Water Excessive Pollution Sources, International Journal of Information Technology & Decision Making, 5(2): 397-417, World Scientific Publishing Company, 2006.
  • Kartlos Joseph Kachiashvili, David Melikdzhanian, Parameter optimization algorithms of difference calculation schemes for improving the solution accuracy of diffusion equations describing the pollutants transport in rivers, International Journal Applied Mathematics and Computation, 183: 787-803, Elsevier , 2006.
  • Kartlos Joseph Kachiashvili, David Gordeziani, David Melikdzhanian, D. Nakani, River pollution components mean annual values estimation by computer modeling, Applied Mathematics and Informatics (AMIM), 11(1), 20-29, Tbilisi University press, 2006.
  • Kartlos Joseph Kachiashvili, D. Nakani, V. Khutchua, Research Of Significant Change In Time And In Space Of The Contents Of Nitrates And Phosphates In Soils Of Farmer Fields By Methods Of The Factorial Analysis, Proceedings of Georgian Technical University: computer-aided management systems, 1: 26-31, Georgian Technical University, 2006.
  • Kartlos Joseph Kachiashvili, L. Klimiashvili, V. Dolidze, Creation of a new generation of information-measurement systems for environmental water quality control, Georgian Engineering News, 3: 115-119, Georgian Engineering News (GEN) LTD , 2005.
  • Kartlos Joseph Kachiashvili, D. Nakani, Research of dependences of agricultural cultures harvests and their ecological quality from contents in soil of different forms of nitrates, phosphates and potassium, Proceedings of the 2nd International Congress “SUSTAINABLE MANAGEMENT IN ACTION”, SMIA 05, University of Geneva, UNI­MAIL, 103-107., , 2005.
  • Kartlos Joseph Kachiashvili, David Melikdzhanian, Restoration of some non­linear functional dependences with the help of the generalized technique of identification, Applied Mathematics and In­for­ma­tics (AMIM), 10(2): 53-89, Tbilisi University Press, 2005.
  • Kartlos Joseph Kachiashvili, David Melikdzhanian, Methods of interpolation of the definite class of non-linear functions with practical examples, Applied Mathematics and Informatics (AMIM), 10(2): 37-52, Tbilisi University press, 2005.
  • Kartlos Joseph Kachiashvili, David Melikdzhanian, The optimization problems of algorithms connected with different calculation schemes of difference equations, Proceedings of the NATO Advanced Research Workshop on Air, Water and Soil Quality Modeling for Risk and Impact Assessment, Tabakhmela, Georgia, Springer, 327-337, Published by Springer, 2005.
  • Manos Dassenakis, F. Botsou, V. Paraskevopoulou, C. Chikviladze, Kartlos Joseph Kachiashvili, Transport of pollutants in two estuarine systems on the coast of Georgia, Chemistry and Ecology, 22(5): 379-393, Taylor & Francis, 2005.
  • Kartlos Joseph Kachiashvili, D. Nakani, Research of influence of traditional and modern agricultural methods and technology on a level of pollution of the rivers both agricultural areas, Proceedings, 2004 IEEE International Engineering Management Conference, Innovation and Entrepreneurship for Sustainable Development, Singapore, 3(3): 1314-1318, , 2004.
  • Kartlos Joseph Kachiashvili, Models of computer-aided management. Statistical models., 137 p, Georgian Technical University, 2004.
  • Kartlos Joseph Kachiashvili, Generalization of Bayesian Rule of Many Simple Hypotheses Testing, International Journal of Information Technology & Decision Making, World Scientific Publishing Company, 2(1): 41-70, World Scientific Publishing Company, 2003.
  • Kartlos Joseph Kachiashvili, Environmental water objects pollution level control and management systems, Collection of reports SMIA03, 4th-6th September, 2003, University of Geneva, UniMail, 477-481, , 2003.
  • Kartlos Joseph Kachiashvili, David Melikdzhanian, New method of construction of confidence intervals for mathematical expectation of random variables, Stampato a cura del Centro Stampa del Dipartimento di Matematica dell’Universita di Roma “La Sapienza”, 10, 9 p., , 2002.
  • Kartlos Joseph Kachiashvili, David Gordeziani, David Melikdzhanian, V. Stepanishvili, Packages of the applied programs for the solution of problems of ecology and processing of the experimental data, Reports of Enlarged Sessions of the Seminar of I. Vekua Institute of Applied Mathematics, 17, no 3, 97-100, Tbilisi University Press, 2002.
  • Kartlos Joseph Kachiashvili, V. Dolidze, D. Khvedeliani , Mathematical methods for guaranteed determination of lymph gland sizes by ultra-sonography, Georgian Engineering News, 3: 75-80, Georgian Engineering News (GEN) LTD , 2002.
  • Kartlos Joseph Kachiashvili, David Melikdzhanian, Analytical description of the coastal line of the river for simplification and improvement of process of calculation of polluting substances concentration, Reports of Enlarged Session of the Seminar of I. Vekua Institute of Applied Mathematics, V. 17, N3, 101-108, Tbilisi University Press, 2002.
  • Kartlos Joseph Kachiashvili, David Melikdzhanian, Methodology of identification of non-linear regression by modified least-squares criterion, Stampato a cura del Centro Stampa del Dipartimento di Matematica dell’Universita di Roma “La Sapienza”, No 9, 11 p., , 2002.
  • Kartlos Joseph Kachiashvili, David Melikdzhanian, Interpolation of Nonlinear Function of the Certain Class, Bulletin of the Georgian Academy of Sciences. 163(3): 444-447, Georgian Academy press, 2001.
  • Kartlos Joseph Kachiashvili, V. Stepanishvili, The automated system of monitoring of quality fluvial and sewages, Proceeding of the Urban Drainage Modeling Symposium, May 20-24, 2001, Orlando, Florida, 843-847, ASCE LIBRARY, 2001.
  • Kartlos Joseph Kachiashvili, David Gordeziani, David Melikdzhanian, Mathematical models of pollutants transport with allowance for many affecting pollution sources, Proceeding of the Urban Drainage Modeling Symposium, May, 20-24, 2001, Orlando, Florida, 692-702, ASCE LIBRARY, 2001.
  • Kartlos Joseph Kachiashvili, David Melikdzhanian, Construction of confidence intervals for mathematical expectation of random variables of a certain type, Industrial laboratory, 3(67): 59-63, , 2001.
  • Kartlos Joseph Kachiashvili, Software packages of propagation of pollutants in the rivers and making of decisions about their quality, Tbilisi International Center of Mathematics and Informatics: Bulletin of TICMI, 5, Tbilisi University press, 2001.
  • Kartlos Joseph Kachiashvili, David Gordeziani, David Melikdzhanian, Mathematical models of Pollutants Transport with Allowance for Many Affecting Pollution Sources, Urban Drainage Modeling, American Society of Civil Engineers, 2001.
  • Kartlos Joseph Kachiashvili, David Melikdzhanian, Methodology of nonlinear regressions identifica­tion by modified method of least squares, Industrial laboratory, 5, 157-164, , 2000.
  • Kartlos Joseph Kachiashvili, David Melikdzhanian, Construction of Confidence Intervals for Mathematical Expectations of Random Variables of a Certain Type, Tbilisi International Center of Mathematics and Informatics: Bulletin of TICMI, 4, 12-17, Tbilisi University press, 2000.
  • Kartlos Joseph Kachiashvili, The use of the method of multiple regression for the forecast of the state of the health of the population with taking into account of the environmental contamination parameters, Actual questions of the preventive medicine and human ecology, The proceedings, 1, 446-448., , 2000.
  • Kartlos Joseph Kachiashvili, Basic principles of development of the automated systems of control ­and management of the environmental pollution leve, Proceedings of the Georgian Technical University, 4(437): 221-224, , 2000.
  • Kartlos Joseph Kachiashvili, David Gordeziani, Software Packages for Automation of Environmental Monitoring and Experimental Data Processing, 3-th International Conference “Advances of Computer Methods in Geotechnical and Geoenvironmental Engineering”, Moscow, 273-278, , 2000.
  • Kartlos Joseph Kachiashvili, Automation of Research in the Field of Ecology, Tbilisi International Center of Mathematics and Informatics: Bulletin of TICMI, vol. 4, pp. 6-12, Tbilisi University press, 2000.