Summary

Education

1. 1954-1959, Tbilisi State University, faculty of mechanics and mathematics, Master/MS, MA, MR, MBA, m.Edor other equivalent.
2. 1964-1965, Steklov Moscow Mathematical Institute, Cand. Sci. (Phys.-Math.).
3. 1981-1982, Romanovski Tashkent Mathematical Institute, Dr. Sci. (Phys.-Math.).

Work experience

1. 1966-1969, Institute of Applied Mathematics of Tbilisi State University, research laboratory, Scientific researcher.
2. 1669-1970, Institute of Applied Mathematics of Tbilisi State University, Department of probability and mathematical statistics, deputy head.
3. 1670-1973, Institute of Applied Mathematics of Tbilisi State University, Department of probability theory and mathematical statistics, head.
4. 1973-1978, Economics and Law Institute of the Georgian Academy of Sciences, Department of probability theory and mathematical statistics, head.
5. 1978-1982, Ivane Javakhishvili Tbilisi State University, Department of probability and mathematical statistics, docent.
6. 1982-2006, Ivane Javakhishvili Tbilisi State University, Department of probability and mathematical statistics, professor.
7. 1986-2006, Ivane Javakhishvili Tbilisi State University, Department of probability and mathematical statistics, Head of Department.
8. 2001-2023, Georgian National Academy of Sciencesა, Corresponding member.
9. 2006-2012, Ivane Javakhishvili Tbilisi State University, Direction of probability and mathematical statistics, professor.
10. 2006-2028, Ivane Javakhishvili Tbilisi State University, Department of probability theory and mathematical statistics, Head of the department.
11. 2012-2028, Ivane Javakhishvili Tbilisi State University, Department of probability theory and mathematical statistics, professor.
12. 2016-2028, Ivane Javakhishvili Tbilisi State University, I. Vekua Institute of Applied Mathematics, Direction of Probability Theory and Mathematical Statistics, Head, Main Scientific Researcher.
13. 2023-2030, Georgian National Academy of Sciences, Information processing and statistical analysis, Academician.

Nadaraya's scientific research is devoted to the problems of non-parametric estimation of the functional characteristics of the law of distribution of observations. In particular, important issues related to nonparametric estimates of distribution density, such as the construction of critical regions, the construction of new goodness-of-fit and homogeneity tests for testing hypothesis and so on.

Projects

• Some problems of statistical estimations and stochastic analysis (308/5-104/12), 2013-2016.
• Some constructions of stochastic analysis and statistical decisions (09-383-3-106), 2009-2011.

Talks

• ბერნულის ორი რეგრესიის ფუნქციის ტოლობის ჰიპოთეზის შესახებ, by Elizbar Nadaraya (Speaker), Petre Babilua at შემთხვევითი პროცესებისა და მათემატიკური სტატისტიკის გამოყენებანი ფინანსურ ეკონომიკასა და სოციალურ მეცნიერებებში VIII, თბილისის მეცნიერებებისა და ინოვაციების 2023 წლის ფესტივალი, Tbilisi, Georgia, 15-16 November, 2023.
• Nonparametric Estimate of Poisson Regression Function, by Elizbar Nadaraya (Speaker), Petre Babilua at International Uzbek-Ukrainian Conference: Modern problems of the theory of stochastic processes and their applications, Online, 10-11 October, 2023.
• On the Testing Hypothesis of Equality of Two Bernoulli Regression Functions, by Elizbar Nadaraya (Speaker), Petre Babilua at The Fourth International Conference “Modern Problems Applied Mathematics” MPAM 2023, Tbilisi, Georgia, 13-15 September, 2023.
• About hypothesis testing of equality of two Bernoulli regression functions, by Elizbar Nadaraya (Speaker), Petre Babilua at XIII International Conference of the Georgian Mathematical Union, Tbilisi, Georgia, 04-09 September, 2023.
• On the One Nonparametric Estimate of Poisson Regression Function, by Elizbar Nadaraya (Speaker), Petre Babilua at 5th International Conference On Problems of Cybernetics and Informatics PCI 2023, Baku, Azerbaijan, 28-30 August, 2023.
• On the Nadaraya-Watson type nonparametric estimator of the Poisson regression function, by Elizbar Nadaraya (Speaker), Petre Babilua at XXXVII International Enlarged Sessions of the Seminar of Ilia Vekua Institute of Applied Mathematics, Tbilisi, Georgia, 19-22 April, 2023.
• ბერნულის რეგრესიის ფუნქციის ერთი არაპარამეტრული შეფასების შესახებ, by Elizbar Nadaraya (Speaker), Petre Babilua at აკადემიკოს ნიკო ვახანიას ხსოვნისადმი მიძღვნილ კონფერენციას „ანალიზი, სტოქასტიკა, კომპიუტინგი - 2022“ („Analysis, Stochastics, Computing (ASC) - 2022“). 21-22 დეკემბერი; თბილისი, სტუ ნიკო მუსხელიშვილის, Tbilisi, Georgia, 21-22 December, 2022.
• On the one new method of testing hypothesis of equality two Bernoulli regression functions for group observations, by Elizbar Nadaraya (Speaker), Petre Babilua at Eighth International Conference on Statistics for Twenty-first Century-2022 (ICSTC 2022)” organized by International Statistics Fraternity (ISF), Department of Statistics, University of Kerala, Kerala, India, 15-19 December, 2022.
• On the One Nonparametric Estimate of Poisson Regression Function, by Elizbar Nadaraya (Speaker), Petre Babilua at International Conference-The Limit Theorems of Probability Theory and Mathematical Statistics, Romanovsky Institute of Mathematics of the Academy of Sciences of Uzbekistan and Steklov Mathematical Ins, Tashkent, Uzbekistan, 26-29 September, 2022.
• On the One Nonparametric Estimate of Poisson Regression Function, by Elizbar Nadaraya (Speaker), Petre Babilua at XII International Conference of the Georgian Mathematical Union, Batumi, Georgia, from 29 August to 03 September, 2022.
• On the estimate of Bernoulli regression function using Bernstein polynomials for group observations, by Elizbar Nadaraya (Speaker), Petre Babilua at XXXVI International Enlarged Sessions of the Seminar of Ilia Vekua Institute of Applied Mathematics, Tbilisi, Georgia, 19-21 April, 2022.
• Nonparametric Estimate of Poisson Regression Function, by Elizbar Nadaraya (Speaker), Petre Babilua at International Conference under the title “Seventh International Conference on Statistics for Twenty-first Century - 2021 [ICSTC-2021]”, Trivandrum, India, 15-19 December, 2021.
• On the one nonparametric estimator of the Bernoulli regression function, by Elizbar Nadaraya (Speaker), Petre Babilua at XI International Conference of the Georgian Mathematical Union, Tbilisi, Georgia, 23-27 August, 2021.
• Nonparametric Estimate of Poisson Regression Function, by Elizbar Nadaraya (Speaker), Petre Babilua at The Fifth International Conference on Applications of Mathematics and Informatics in Natural Sciences and Engineering Dedicated to the 25th Anniversary of Foundation Tbilisi International Centre of Ma, Tbilisi, Georgia, 16-19 July, 2021.
• On the estimate of the Bernoulli regression function, by Elizbar Nadaraya (Speaker), Petre Babilua at International Conference “Modern Stochastics: Theory and Applications V” (MSTA-V-2021), Kyiv, Ukraine, 01-04 July, 2021.
• On the estimate of the Bernoulli regression function, by Elizbar Nadaraya (Speaker), Petre Babilua at Fifth International Webinar On Recent Trends In Statistical Theory And Applications-2021, Trivandrum, India, from 29 June to 02 July, 2021.
• On the one nonparametric estimator of the Poisson regression function, by Elizbar Nadaraya (Speaker), Petre Babilua at Enlarged Session of the Seminar of I. Vekua Institute of Applied Mathematics of Iv. Javakhishvili Tbilisi State University, Tbilisi, Georgia, 21-23 April, 2021.
• On the integral square deviation between two kernel type estimators of the Bernoulli regression functions for the group data, by Elizbar Nadaraya (Speaker), Petre Babilua at Scientific conference "Actual problems of stochastic analysis", dedicated to the 80th anniversary of the birth of Academician Formanov Sh. K., Tashkent, Tashkent, Uzbekistan, 20-21 February, 2021.
• On the Estimating the Bernoulli Regression Function Using Bernstein Polynomials, by Elizbar Nadaraya (Speaker), Petre Babilua at International conference in “Modern stochastic models and problems of actuarial mathematics” , Karshi, Uzbekistan, 25 September, 2020.
• On Nonparametric Kernel-Type Estimate of the Bernoulli Regression Function, by Elizbar Nadaraya (Speaker), Petre Babilua at Scientific Conference “Modern Problems of Stochastic Analysis” dedicated to the 100th anniversary of the birth of academician S. Kh. Sirajdinov, Tashkent, Uzbekistan, 21-22 September, 2020.
• On estimating the Bernoulli regression function using Bernstein polynomials, by Elizbar Nadaraya (Speaker), Petre Babilua at Enlarged Session of the Seminar of I. Vekua Institute of Applied Mathematics of Iv. Javakhishvili Tbilisi State University, Tbilisi, Georgia, 23-25 April, 2020.
• On the Limit Distribution of the Integral Square Deviation of a Nonparametric Estimator of the Bernoulli Regression Function for Two Samples, by Elizbar Nadaraya (Speaker), Petre Babilua at Eight Scientific Conference in Exact and Natural Sciences ENS-2020 of I.Javakhishvili Tbilisi State University, Tbilisi, Georgia, 03-07 February, 2020.
• On the Limit Distribution of the Integral Square Deviation of a Nonparametric Estimator of the Bernoulli Regression Function for One Sample and Two Independent Samples, by Elizbar Nadaraya (Speaker), Petre Babilua at The Fourth International Conference on Applications of Mathematics and Informatics in Natural Sciences and Engineering (AMINSE 2019) , Tbilisi, Georgia, 23-26 September, 2019.
• On the integral square measure of deviation of one nonparametric estimator of the Bernoulli regression, by Elizbar Nadaraya (Speaker), Petre Babilua at International Conference on Probability Theory and Statistics Dedicated to the 75-th anniversary of Professor Estate V. Khmaladze, Tbilisi, Georgia, 09-13 September, 2019.
• On the estimating the Bernoulli regression function using Bernstein polynomials, by Elizbar Nadaraya (Speaker), Petre Babilua at X International Conference of the Georgian Mathematical Union, Batumi, Georgia, 02-06 September, 2019.
• On the limit distribution of integral square deviation of Walverton-Vagner type estimate , by Elizbar Nadaraya (Speaker), Petre Babilua at Enlarged Session of the Seminar of I. Vekua Institute of Applied Mathematics of Iv. Javakhishvili Tbilisi State University, Tbilisi, Georgia, 23-25 April, 2019.
• About one goodness-of-fit test, by Elizbar Nadaraya (Speaker), Petre Babilua at International Conference «Stochastic Equations, Limit Theorems and Statistics of Stochastic Processes», dedicated to the 100th anniversary of I.I.Gikhman, Kyiv, Ukraine, 17-18 September, 2018.
• About One Test for Homogeneity, by Elizbar Nadaraya (Speaker), Petre Babilua at IX International Conference of the Georgian Mathematical Union, Batumi, Georgia, 03-08 September, 2018.
• On some goodness-of-fit tests based on Wolverton-Wagner type estimates of distribution, by Elizbar Nadaraya (Speaker), Petre Babilua at International Conference on Probability Theory and Mathematical Statistics Dedicated to 100th Anniversary of Professor Gvanji Mania, Tbilisi, Georgia, 16-18 July, 2018.
• On the nonparametric estimation of the Bernoulli regression Function, by Elizbar Nadaraya (Speaker), Petre Babilua at Enlarged Session of the Seminar of I. Vekua Institute of Applied Mathematics of Iv. Javakhishvili Tbilisi State University, Tbilisi, Georgia, 18-20 April, 2018.
• On the estimation of the odds-ratio based on kernel estimates of the regression function, by Elizbar Nadaraya (Speaker), Petre Babilua at Sixth Scientific Conference in Exact and Natural Sciences ENS-2017 of I.Javakhishvili Tbilisi State University, Tbilisi, Georgia, 12-15 February, 2018.
• On deviations between kernel-type estimators of a distribution density in $p\geq 2$ independent samples, by Elizbar Nadaraya (Speaker), Petre Babilua at VIII International Conference of the Georgian Mathematical Union, Batumi, Georgia, 04-08 September, 2017.
• On deviations between kernel-type estimators of a distribution density in $p\geq 2$ independent samples, by Elizbar Nadaraya (Speaker), Petre Babilua at Enlarged Session of the Seminar of I. Vekua Institute of Applied Mathematics of Iv. Javakhishvili Tbilisi State University, Tbilisi, Georgia, 19-21 April, 2017.
• On the testing hypothesis of equality distribution densities, by Elizbar Nadaraya (Speaker), Petre Babilua at Fifth Scientific Conference in Exact and Natural Sciences ENS-2017 of I.Javakhishvili Tbilisi State University, Tbilisi, Georgia, 07-10 February, 2017.
• About Statistics of Criteria of Hypothesis for Equality Some Distribution Functions, by Elizbar Nadaraya (Speaker), Petre Babilua, Grigol Sokhadze at VII International Conference of the Georgian Mathematical Union, Batumi, Georgia, 05-09 September, 2016.
• On the testing hypothesis of equality distribution densities, by Elizbar Nadaraya (Speaker), Petre Babilua, Grigol Sokhadze at Enlarged Session of the Seminar of I. Vekua Institute of Applied Mathematics of Iv. Javakhishvili Tbilisi State University, Tbilisi, Georgia, 20-22 April, 2016.
• About Bernoulli type Regression, by Elizbar Nadaraya (Speaker), Petre Babilua, Grigol Sokhadze at International Conference on Probability Theory and Statistics, Tbilisi, Georgia, 06-12 September, 2015.
• The Limiting Distribution of an Integral Square Deviation of Two Kernel Estimators of Bernoulli Regression Function, by Elizbar Nadaraya (Speaker), Petre Babilua at VI Annual Conference of the Georgian Mathematical Union, Batumi, Georgia, 12-16 July, 2015.
• The Limiting Distribution of an Integral Square Deviation of Two Kernel Estimators of Bernoulli Regression Function, by Elizbar Nadaraya (Speaker), Petre Babilua at VI Annual Conference of the Georgian Mathematical Union, Batumi, Georgia, 12-16 July, 2015.
• On the estimate of Gasser–Muller functionals of regression function, by Elizbar Nadaraya (Speaker), Petre Babilua, Grigol Sokhadze at Enlarged Session of the Seminar of I. Vekua Institute of Applied Mathematics of Iv. Javakhishvili Tbilisi State University, Tbilisi, Georgia, 22-24 April, 2015.
• About Integral Square Deviation of Two Bernoulli Regression Functions, by Elizbar Nadaraya (Speaker), Petre Babilua at Third Scientific Conference in Exact and Natural Sciences ENS-2015 of I.Javakhishvili Tbilisi State University, Tbilisi, Georgia, 02-07 February, 2015.
• About Integral Square Deviation of Two Estimators of Bernoulli Regression Functions , by Elizbar Nadaraya (Speaker), Petre Babilua at V Annual Conference of the Georgian Mathematical Union , Batumi, Georgia, 08-12 September, 2014.
• On the integral square deviation between kernel setimates of Bernoulli regression function, by Elizbar Nadaraya (Speaker), Petre Babilua at Enlarged Session of the Seminar of I. Vekua Institute of Applied Mathematics of Iv. Javakhishvili Tbilisi State University, Tbilisi, Georgia, 22-24 April, 2014.
• On functionals from Gasser-Müller estimators, by Grigol Sokhadze (Speaker), Aleksandre Tkeshelashvili, Elizbar Nadaraya at INTERNATIONAL CONFERENCE "MODERN PROBLEMS IN APPLIED MATHEMATICS", Tbilisi, Georgia, 04-07 September, 2013.
• Some limit properties of maximal likelihood estimation in a Hilbert space, by Elizbar Nadaraya (Speaker), Petre Babilua, Grigol Sokhadze at Second International Conference on "Modern Problems in Applied Mathematics" Dedicated to the 95th Anniversary of I.Javakhishvili Tbilisi State University & 45th Anniversary of I.Vekua Institute of App, Tbilisi, Georgia, 04-07 September, 2013.
• On the nonparametric estimate of the Bernoulli regression function, by Elizbar Nadaraya (Speaker), Petre Babilua, Grigol Sokhadze at Enlarged Session of the Seminar of I. Vekua Institute of Applied Mathematics of Iv. Javakhishvili Tbilisi State University, Tbilisi, Georgia, 22-24 April, 2013.
• On the integral square deviation of a one nonparametric estimator of the Bernoulli regression function, by Elizbar Nadaraya (Speaker), Petre Babilua at First Scientific Conference in Exact and Natural Sciences ENS-113 of I.Javakhishvili Tbilisi State University, Tbilisi, Georgia, 29-30 January, 2013.
• On the estimates of maximal likelihood in the Hilbert space, by Elizbar Nadaraya (Speaker), Petre Babilua, Grigol Sokhadze at Enlarged Session of the Seminar of I. Vekua Institute of Applied Mathematics of Iv. Javakhishvili Tbilisi State University, Tbilisi, Georgia, 23-25 April, 2012.
• On the one nonparametric estimate of the Bernoulli regression function, by Elizbar Nadaraya (Speaker), Petre Babilua, Grigol Sokhadze at Enlarged Session of the Seminar of I. Vekua Institute of Applied Mathematics of Iv. Javakhishvili Tbilisi State University, Tbilisi, Georgia, 20-23 April, 2011.
• On limit distribution of a quadratic deviation for nonparametric estimate of the Bernoulli regression, by Elizbar Nadaraya (Speaker), Petre Babilua, Grigol Sokhadze at II Internatinal Conference dedicated to the 70th Anniversary of the Georgian Nathional Academy of Sciences & 120th birthday of its First President Academician Nikoloz (Niko) Muskhelishvili, Batumi, Georgia, 15-19 September, 2010.
• On the estimation of distribution function on indirect sample, by Elizbar Nadaraya (Speaker), Petre Babilua, Grigol Sokhadze at The Third International Conference “Problems of Cybernetics and Informatics”, Baku, Azerbaijan, 06-08 September, 2010.
• Limit distribution of a quadratic deviation of a nonparametric estimate of the Bernoulli regression, by Elizbar Nadaraya (Speaker), Petre Babilua, Grigol Sokhadze at International Conference “Modern Stochastics: Theory and Applications II” is dedicated to three anniversaries of prominent Ukrainian scientists: Anatolij Skorohod, Volodymyr Korolyuk and Igor Kovalenk, Kyiv, Ukraine, 06-11 September, 2010.
• About estimation of distribution by indirect sample, by Elizbar Nadaraya (Speaker), Petre Babilua at Enlarged Session of the Seminar of I. Vekua Institute of Applied Mathematics of Iv. Javakhishvili Tbilisi State University, Tbilisi, Georgia, 21-23 April, 2010.
• Some goodness-of-fit tests based on estimates of kernel type distribution, by Elizbar Nadaraya (Speaker), Petre Babilua, Grigol Sokhadze at Ukrainian Mathematical Congress, Kyiv, Ukraine, 27-29 August, 2009.
• On some goodness-of-fit tests based on estimates of kernel type distribution densities, by Elizbar Nadaraya (Speaker), Petre Babilua at 33-rd Conference on Stochastic Processes and their Applications, Berlin, Germany, 27-31 July, 2009.
• About integral square deviation measure with "delta-functions" of the Rosenblatt-Parzen probability density estimator, by Elizbar Nadaraya (Speaker), Petre Babilua at Enlarged Session of the Seminar of I. Vekua Institute of Applied Mathematics of Iv. Javakhishvili Tbilisi State University, Tbilisi, Georgia, 22-25 April, 2009.

Publications

• Elizbar Nadaraya, Petre Babilua, On the Limit Distribution of Integral Square Deviation between Projection Type Estimators of Distribution Density in p ≥ 2 Independent Samples, Bull. Georgian Natl. Acad. Sci. (N.S.) 17 (2023), no. 4, 15--19, Georgian National Academy of sciences Press, 2023.
• Elizbar Nadaraya, Petre Babilua, On the Nadaraya-Watson type nonparametric estimate of Poisson regression function, Trans. A. Razmadze Math. Inst. 176 (2022), no. 3, 429--433, Tbilisi State University Press, 2022.
• Elizbar Nadaraya, Petre Babilua, On a new estimation method of the Bernoulli regression function, Theory Probab. Appl. 67 (2022), no. 2, 163--174, Springer, 2022.
• Elizbar Nadaraya, Petre Babilua, On a new method of the testing hypothesis of equality of two Bernoulli regression functions for group observations, Georgian Math. J. 29 (2022), no. 2, 167--177., De Gruyter, 2022.
• Elizbar Nadaraya, Petre Babilua, On estimating the Bernoulli regression function using Bernstein polynomials, Comm. Statist. Theory Methods 50 (2021), no. 17, 3928--3941., Taylor&Francis, 2021.
• Elizbar Nadaraya, Petre Babilua, On the testing hypothesis of equality of two Bernoulli regression functions, Trans. A. Razmadze Math. Inst. 174 (2020), no. 2, 135--146., Tbilisi State University Press, 2020.
• Elizbar Nadaraya, Petre Babilua, On nonparametric kernel-type estimate of the Bernoulli regression function, Applications of mathematics and informatics in natural sciences and engineering, 19--36, Springer Proc. Math. Stat., 334, Springer, Cham, [2020], Springer , 2020.
• Elizbar Nadaraya, Petre Babilua, On the estimating the Bernoulli regression function using Bernstein polynomials, Bull. Georgian Natl. Acad. Sci. (N.S.) 14 (2020), no. 1, 23--28., Georgian National Academy of sciences Press, 2020.
• Elizbar Nadaraya, Petre Babilua, On the Chi-square test of homogeneity in case of a simultaneous increase of the number of observations and the number of interval partitions, Bull. Georgian Natl. Acad. Sci. (N.S.) 14 (2020), no. 2, 14--17., Georgian National Academy of sciences Press, 2020.
• Elizbar Nadaraya, Petre Babilua, On a homogeneity test based on kernel estimators for the distribution density, Ukrainian Math. J. 71 (2019), no. 4, 505--518, Springer , 2019.
• Elizbar Nadaraya, Petre Babilua, On a homogeneity criterion based on quadratic deviations between kernel estimates for the distribution density in $p\geq 2$ independent samples, Theory Probab. Appl. 63 (2019), no. 4, 532–544, SIAM, 2019.
• Elizbar Nadaraya, Petre Babilua, On deviations between kernel-type estimators of a distribution density in $p\geq 2$ independent samples, Comm. Statist. Theory Methods 47 (2018), no. 2, 475--492., Taylor&Francis, 2018.
• Elizbar Nadaraya, Petre Babilua, On deviation between kernel-type estimators of a distribution density in some independent samples, Bull. TICMI 22 (2018), no. 1, 25--39., Tbilisi State University Press, 2018.
• Elizbar Nadaraya, Petre Babilua, On the homogeneity test based on the kernel-type estimators of a distribution density, rans. A. Razmadze Math. Inst. 172 (2018), no. 3, part A, 318--331., Tbilisi State University Press, 2018.
• Elizbar Nadaraya, Petre Babilua, On the estimation of the odds-ratio based on kernel estimates of the regression function, Bull. Georgian Natl. Acad. Sci. (N.S.) 11 (2017), no. 3, 14--21., Georgian National Academy of sciences Press, 2017.
• Elizbar Nadaraya, Grigol Sokhadze, On integral functionals of a density, Comm. Statist. Theory Methods 45 (2016), no. 23, 7086--7102., Taylor&Francis, 2016.
• Elizbar Nadaraya, Petre Babilua, Grigol Sokhadze, est of a hypothesis on the equality of distribution densities, Ukrainian Math. J. 68 (2016), no. 5, 661--678., Springer , 2016.
• Elizbar Nadaraya, Petre Babilua, Grigol Sokhadze, On testing hypotheses of equality distribution densities, Bull. Georgian Natl. Acad. Sci. (N.S.) 10 (2016), no. 3, 27--32., Georgian National Academy of sciences Press, 2016.
• Elizbar Nadaraya, Petre Babilua, Grigol Sokhadze, On functionals of Gasser-Müller estimators, Rep. Enlarged Sess. Semin. I. Vekua Appl. Math. 29 (2015), 16--19., Tbilisi State University Press, 2015.
• Elizbar Nadaraya, Petre Babilua, Grigol Sokhadze, On the square-integrable measure of the divergence of two nuclear estimations of the Bernoulli regression functions, Ukrainian Math. J. 67 (2015), no. 1, 1--18., Springer , 2015.
• Elizbar Nadaraya, Petre Babilua, Grigol Sokhadze, On the limit properties of maximal likelihood estimators in a Hilbert space, Georgian Math. J. 22 (2015), no. 2, 171--178., De Gruyter, 2015.
• Elizbar Nadaraya, Grigol Sokhadze, On functionals of a density, Proc. A. Razmadze Math. Inst. 168 (2015), 87–97., Tbilisi State University Press, 2015.
• Elizbar Nadaraya, Petre Babilua, Grigol Sokhadze, Aleksandre Tkeshelashvili, Itegral Functionals of the Gasser-Muller Regression Function, Ukrainian Mathematical Journal. Vol. 67 Issue 4. 2015. p. 435-446, Springer, 2015.
• Elizbar Nadaraya, Petre Babilua, Grigol Sokhadze, On testing the hypothesis of equality of two Bernoulli regression functions, Bull. Georgian Natl. Acad. Sci. (N.S.) 8 (2014), no. 1, 18--26., Georgian National Academy of sciences Press, 2014.
• Elizbar Nadaraya, Petre Babilua, Grigol Sokhadze, Functionals of Gasser-Muller estimators, Turkish J. Math. 38 (2014), no. 6, 1090--1101., Tubitak, 2014.
• Elizbar Nadaraya, Petre Babilua, Grigol Sokhadze, On integral square deviation of two kernel estimators of Bernoulli regression functions, Rep. Enlarged Sess. Semin. I. Vekua Appl. Math. 28 (2014), 74--77., Tbilisi State University Press, 2014.
• Elizbar Nadaraya, Petre Babilua, Grigol Sokhadze, About Testing the Hypothesis of Equality of Two Bernoulli Regression Curves, Journal of Mathematical Theory and Modeling. vol. 4, no. 9, 142-150, 2014. , IISTE, 2014.
• Elizbar Nadaraya, Petre Babilua, Grigol Sokhadze, About the nonparametric estimation of the Bernoulli regression, Comm. Statist. Theory Methods 42 (2013), no. 22, 3989--4002., Taylor&Francis, 2013.
• Elizbar Nadaraya, Petre Babilua, Grigol Sokhadze, On the integral square measure of deviation of a nonparametric estimator of the Bernoulli regression, Theory Probab. Appl. 57 (2013), no. 2, 265--278., SIAM, 2013.
• Elizbar Nadaraya, Grigol Sokhadze, Aleksandre Tkeshelashvili, On one statistical problem in the Hilbert space, Proceedings of I. Vekua Institute of Applied Mathematics Volume 61-62, 2011-2012 p.55-64, Tbilisi State University Press, 2012.
• Elizbar Nadaraya, Petre Babilua, Grigol Sokhadze, On the Cramer-Rao inequality in an infinite dimensional space, Bull. Georgian Natl. Acad. Sci. (N.S.) 6 (2012), no. 1, 5--13., Georgian National Academy of sciences Press, 2012.
• Elizbar Nadaraya, Petre Babilua, On one nonparametric estimate of a Bernoulli regression function, Bull. Georgian Natl. Acad. Sci. (N.S.) 6 (2012), no. 2, 5--10., Georgian National Academy of sciences Press, 2012.
• Elizbar Nadaraya, Omar Purtukhia, Grigol Sokhadze, On the Cramer-Rao inequality in an infinite dimensional space, Proc. A. Razmadze Math. Inst. 160 (2012), 121--134., Tbilisi State University Press, 2012.
• Elizbar Nadaraya, Petre Babilua, Grigol Sokhadze, On the estimation of a distribution function by an indirect sample. II, Bull. Georgian Natl. Acad. Sci. (N.S.) 5 (2011), no. 2, 11--18., Springer , 2011.
• Elizbar Nadaraya, Petre Babilua, Grigol Sokhadze, Estimation of a distribution function by an indirect sample, Ukrainian Math. J. 62 (2011), no. 12, 1906--1924, Springer , 2011.
• Elizbar Nadaraya, Petre Babilua, Grigol Sokhadze, On the estimation of a distribution function by an indirect sample. I, Bull. Georgian Natl. Acad. Sci. (N.S.) 4 (2010), no. 3, 5--12, Georgian National Acedemy of Sciences Press, 2010.
• Elizbar Nadaraya, Petre Babilua, Grigol Sokhadze, On some goodness-of-fit tests based on estimates of kernel-type distribution densities, Theory Probab. Appl. 54 (2010), no. 2, 324--333, SIAM, 2010.
• Elizbar Nadaraya, Petre Babilua, Grigol Sokhadze, On a measure of integral square deviation with generalized weight for the Rosenblatt-Parzen probability density estimator, Ukrainian Math. J. 62 (2010), no. 4, 588--611, Springer , 2010.
• Elizbar Nadaraya, Grigol Sokhadze, On the statistical estimation of the logarithmic derivative of a measure in a Hilbert space, Georgian Math. J. 17 (2010), no. 4, 741--747., De Gruyter, 2010.
• Elizbar Nadaraya, Grigol Sokhadze, Integral Functionals of the Density, IMS Lecture Notes-Monograph Series, 153-168, 2010, IMS, 2010.
• Elizbar Nadaraya, Petre Babilua, Grigol Sokhadze, On an integral square deviation measure with the weight of “delta-functions” of the Rosenblatt-Parzen probability density estimator, Semin. I. Vekua Inst. Appl. Math. Rep. 35 (2009), 100--106, 122, Tbilisi State University Press, 2009.
• Elizbar Nadaraya, Petre Babilua, Grigol Sokhadze, On one property of the Wiener integral and its statistical application, Bull. Georgian Natl. Acad. Sci. (N.S.) 3 (2009), no. 1, 30--39., Georgian National Academy of sciences Press, 2009.
• Elizbar Nadaraya, Petre Babilua, Grigol Sokhadze, On one property of the Wiener integral and its statistical application, Random Oper. Stoch. Equ. 17 (2009), no. 2, 173--187., De Gruyter, 2009.
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