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

Grigol Sokhadze

  • Office: University str.11, 0186 Tbilisi, Georgia
  • Phone:
  • E-mail: grigol.sokhadze@tsu.ge
  • Research fields:

Summary

Projects

Talks

  • 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 estimation of integral functional of distribution density, by Grigol Sokhadze (Speaker), Aleksandre Tkeshelashvili at XXX International Enlarged Sessions of the Seminar of Ilia Vekua Institute of Applied Mathematics, Tbilisi, Georgia, 22-24 April, 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.
  • On the representation of solution of the second order differential equation with random coefficients , by Aleksandre Tkeshelashvili (Speaker), Grigol Sokhadze at XXIX Enlarged Sessions of the Seminar of Ilia Vekua Institute of Applied Mathematics, Tbilisi, Georgia, 22-24 April, 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.
  • 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 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.
  • 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.
  • 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.
  • 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.

Publications

  • 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.
  • Davit Gogolashvili, Grigol Sokhadze, Aleksandre Tkeshelashvili, On A Representation of the Solutions of a Second-Order Differential Equations With Random Coefficients, Reports of Enlarged Session of the Seminar of I. Vekua Institute of Applied Mathematics, Volume 29, Pages 48-51, TSU press, 2015.
  • 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, 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, On the limit properties of maximal likelihood estimators in a Hilbert space, Georgian Math. J. 22 (2015), no. 2, 171--178., De Gruyter, 2015.
  • Grigol Sokhadze, Aleksandre Tkeshelashvili, On a Representation of the Solutions of a Second-Order Differential Equations with Random Coefficients., Reports of Enlarged Session of the Seminar of I. Vekua Institute of Applied Mathematics Volume 29, 2015. P47-51, I. Vekua Institute of Applied Mathematics, 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 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, 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, 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.
  • Aleksandre Tkeshelashvili, Zaza Jemal Khechinashvili, Vakhtangi Jaoshvili, Grigol Sokhadze, ON TRANSFORMATIONS OF A RANDOM MEASURE, AMIM, Vol. 18. 2013. N1.p.47-54, I. Vekua Institute of Applied Mathematics, 2013.
  • 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, 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, Grigol Sokhadze, Integral Functionals of the Density, IMS Lecture Notes-Monograph Series, 153-168, 2010, IMS, 2010.
  • 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, 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, 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, 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 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 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, Random Oper. Stoch. Equ. 17 (2009), no. 2, 173--187., De Gruyter, 2009.
  • Elizbar Nadaraya, Grigol Sokhadze, Statistical estimation of a logarithmic derivative measure in a Hilbert space, Cybernet. Systems Anal. 45 (2009), no. 5, 762--766, Springer , 2009.
  • Elizbar Nadaraya, Petre Babilua, Grigol Sokhadze, On some goodness-of-fit tests based on estimates of kernel type Wolverton-Wagner estimates, Bull. Georgian National Acad. Sci. (new series) 3 (2009), No. 2, 11-18, Georgian National Acedemy of Sciences, 2009.
  • Aleksandre Tkeshelashvili, Grigol Sokhadze, On one cylindrical type transformation of a random measure, Reports of Enlarged Session of the Seminar of I. Vekua. Inst. Of App. Math. Volume 22. 2008 p. 101-105 , I. Vekua Institute of Applied Mathematics, 2008.