TENGIZ SHERVASHIDZE(01.I.1946 - 23.X.2017) |
Education and Scientific Degree:
1962 - 1968 | Student of Tbilisi State University, Faculty of Mechanics and Mathematics |
June, 1968 | Diploma with honor in Mathematics, Tbilisi State University |
1972 | Candidate of Sciences (Ph.D.), V. A. Steklov Mathematical Institute of Acad. Sci. of USSR, Moscow |
Thesis: "Multidimensional local limit theorems for
densities".
Supervisor: Prof. Yu. V. Prokhorov | |
1981 | Title "Senior Researcher" delivered by Highest Attestation Commission of USSR |
1999 | Doctor of Sciences, N. Muskhelishvili Institute of Computational Mathematics of Georgian Academy of Sciences |
Thesis: "Local limit theorems for sums of random variables and parametric estimators of probability density" |
Languages:
Georgian, Russian, German, English
Positions Held and Academic Experience:
1972 - 1983 | Junior and then Senior Researcher and then Head of Department at Scientific Institutes of Tbilisi State University and Georgian Academy of Sciences |
1983 - 1985 | Head of Department of Probability Theory of the Sector of Probability Theory and Mathematical Statistics at A. Razmadze Mathematical Institute of Georgian Academy of Sciences |
1985 - 1992 | Head of Department of Probability Theory and Mathematical Statistics of the same Institute |
1992 - 1999 | Senior Researcher of the same department |
1999 - 2006 | Leading Researcher of the same department |
2006 - 2017 | Senior Researcher of the same department |
Research Areas:
Limit theorems for sums of random variables;
Parametric estimation of probability densities;
History of teaching and research in probability theory and mathematical
statistics in Georgia
Teaching Experience:
1972 - 1980, 1985 | Assistant professor at the Faculty of Mechanics and Mathematics at Tbilisi State University |
1990 - 1999 | Assistant professor at Georgian Technical University and Georgian Pedagogical University |
1999 - present | Professor of Department of Applied Mathematics of Georgian Technical University |
Scientific Meetings Participated:
1-6. International Vilnius Conferences in Probability Theory and Mathematical Statistics, Vilnius, Lithuania :1^{st} in 1973, 2^{nd} in 1977, 3^{rd} in 1981, 4^{th} in 1985, 5^{th} in 1989 and 7^{th} in 1998.
7-17. Bakuriani Schools and Colloquia in Probability Theory and Mathematical Statistics, Bakuriani, Georgia :13^{th} in 1979, 14^{th} in 1980, 15^{th} in 1981, 16^{th} in 1982, 17^{th} in 1983, 18^{th} in 1984, 19^{th} in 1985, 20^{th} in 1986, 21^{st} in 1987, 22^{nd} in 1988, 23th in 1990.
18-19. European Meetings of Statisticians: 12^{th} in Varna, Bulgaria, in 1979 and 22^{nd} on Vilnius, Lithuania, in 1998.
20. 4^{th} USSR—Japan Symposium on Probability Theory and Mathematical Statistics, Tbilisi, Georgia,1982.
21. 5^{th} Japan—USSR Symposium in Probability Theory and Mathematical Statistics, Kyoto, Japan, 1986.
22. 1^{st} World Congress of Bernoulli Society for Mathematical Statistics and Probability, Tashkent, Uzbekistan, 1986.
23. Japan-Russia Symposium in Probability Theory and Mathematical Statistics, Tokyo, Japan, 1995.
24-25. Russia Schools and Colloquia in Stochastic Methods: 1^{st} in Abrau-Dyurso, 1994, 3^{rd} in Tuapse, 1996.
26. 26^{th} Annual Conference of Iranian Mathematicians, Shiraz, Iran, 1996
27. 4^{th} Iranian International Statistics Conference, Tehran, Iran, 1998.
28. 3rd Georgian Congress of Mathematicians, October 11-13, 2001.
29. School and Colloquium on Stochastic Analysis and its Applications in Statistics, Control and Financial Modeling (Dedicated to the Memory of R. Chitashvili), Tbilisi, Georgia, September, 2002.
30. International Conference “Kolmogorov and Contemporary Mathematics”, Moscow, Russia, June, 2003.
31. International Conference in Probability Theory and Mathematical Statistics Dedicated to the Centenary of A.N. Kolmogorov , Tbilisi-Borjomi, Georgia, September, 2003.
32. 5th International Fergana Conference "Limit Theorems of Probability Theory and Their Applications" (Fergana Colloquium) dedicated to the memory of Acad. S.Kh. Sirazhdinov, Fergana, Uzbekistan, May, 2005.
33. 4th Georgian Congress of Mathematicians, Tbilisi, Georgia, November 15-16, 2005.
34. International Conference "Problems of Cybernetics and Informatics", Baku, Azerbaijan, October 24-26, 2006.
35. The Second International Conference "Problems of Cybernetics and Informatics", Baku, Azerbaijan, September 10-12, 2008.
Note: T Shervashidze was actively involved in organization of 7-17 (see item 2 in Some Other Publications), 20, 28 and 30.
Other Scientific Visits:
1996, IV | Center for Basic Sciences, Zanjan, Iran |
1997, XII | University "La Sapienza", Rome, Italy |
1997, XII | Cassino University, Cassino, Italy |
1997, XII | Kiev National T. Shevchanko University, Kiev, Ukraine |
1999, I | Jena University, Germany |
1999, II | Freiburg University, Germany |
2002, IX - XII | International Center for Theoretical Physics, Trieste, Italy, Visiting Researcher |
2002, XI | University "La Sapienza", Rome, Italy |
2002, XII | Philosophical Faculty, Rijekka University, Croatia |
2008, III | Laboratoire P. Painlevé
(UMR 8524 CNRS), U.F.R. de Mathématiques,
Université des Sciences et Technologied
de Lille, France, Visiting Professor |
Membership in Scientific Societies:
Georgian Mathematical Union (since 1990);
Georgian Statistical Association (since 1990);
International Statistical Institute (since 1995);
Bernoulli Society for Mathematical Statistics
and Probability (since 2001).
Editorial Activity:
Mania, G. M. Statistical estimation of probability distributions. (Russian) Tbilisi University Press, Tbilisi, !974 (Editor T L. Shervashidze).
XIV School and colloquium in probability theory and mathematical statistics (Bakuriani, 1980). Abstracts of Communications (Russian), Metsniereba, Tbilisi, 1980 (Editor T. L. Shervashidze).
XV Schoool and colloquium in probability theory and mathematical statistics (Bakuriani, 1981). Abstracts of communications (Russian), Metsniereba, Tbilisi, 1981(Editors N. L. Lazrieva and T. L. Shervashidze).
XVI School and colloquium in probability theory and mathematical statistics (Bakuriani, 1982), Materials (Russian), Metsniereba, Tbilisi, 1982 (Editor T. L. Shervashidze).
IV USSR-Japan symposium in probability theory and mathematical statistics (Tbilisi, 1982) Abstracts of communications, vols. I, II. Metsniereba, Tbilisi, 1982 (Editorial Board: O. A. Glonti, N.V. Elbakidze, N.L. Lazrieva, J.A. Melaed, I.V. Sanadze and T.L. Shervashidze (Editor)).
Investigations in probability theory and mathematical statistics (Collection of papers) (Russian). Metsniereba, Tbilisi, 1982 (Editors; G.M. Mania, O.A. Glonti and T.L. Shervashidze).
Random analysis and asymptotic problems of probability theory and mathematical statistics (Materials of the XVII school and colloquium in probability theory and mathematical statistics, Bakuriani, 1983) (Russian) Metsniereba, Tbilisi, 1984 (Editor T.L. Shervashidze).
Limit theorems and stochastic equations (Collection of Papers). Metsniereba, Tbilisi, 1984 (Editor T.L. Shervashidze).
XVIII school and colloquium in probability theory and mathematical statistics (Bakuriani, 1984) Abstracts of communications (Russian), Georgian Institute of Scientific and Technical Information (GRUZNIINTI), Tbilisi, 1984 (Editors I.V. Bokuchava , G.I. Marr and T.L. Shervashidze).
XIX School and colloquium in probability theory and mathematical statistics (Bakuriani, 1985) Abstracts of communications (Russian), Georgian Institute of Scientific and Technical Information (GRUZNIINTI), Tbilisi, 1985. (Editors I.V. Bokuchava and T.L. Shervashidze)
Probability theory and mathematical statistics (Collection of papers dedicated to the 70^{th} birthday anniversary of Prof. G.M. Mania). (Russian) Trudy Tbiliss. Mat. Inst. Razmadze 92 (1989) (Editors of the volume Yu.V. Prokhorov, A.N. Shiryaev and T.L. Shervashidze).
Proceedings of Bakuriani colloquium in honor of Yu.V. Prokhorov (1990). New Trends in Probability and Statistics, vol. I., Mokslas, Vilnius and VSP, Utrecht, 1991, xvi+702 pp.., (Editors V.V. Sazonov and T.L. Shervashidze)
A. Razmadze’s lectures on probability theory (Georgian). According to the records by D. Vashakidze prepared for publication and supplied by preface and comments by T. Shervashidze, Metsniereba, Tbilisi, 1991.
E. Khmaladze, Eight Lectures on Mathematical Demography and Life Insurance (Georgian). Georgian University Publishing House, 2007 (Editor T. Shervashidze).
Proceedings of A. Razmadze Mathematical Institute, vol. 115 dedicated to the memory of Prof. R. Chitashvili, Publ.house GCI ,Tbilisi, 1997 (Editors of the volume T. Toronjadze and T. Shervashidze).
Statistical Theory and Methods Abstracts. International Statistical Institute, Voorburg, The Netherlands: Regional Editor in Georgia T. Shervashidze - 1994-2004.
Georgian Mathematical Journal: Executive Editor - 1993 - 2014 (in 1993 the journal was published under the title Proc. Georgian Acad. Sci.. Mathematics).
The square deviation of two parametric estimators of the density of the two-dimensional normal distribution. (Russian) Tr. Inst. Prikl. Mat. Tbil. Gos. Univ. 1 (1969), 105-110.
The mean square error of a parameter estimate of the density of a distribution, and the mean square deviation of two such estimates. (Russian) Tr. Inst. Prikl. Mat. Tbil. Gos. Univ. 2 (1969), 243-247
Multidimensional limit theorems for densities of distribution. (Russian) Soobshch. Akad. Nauk Gruzin. SSR 60 (1970), 533-536 (with L. I. Saulis).
Limit theorems for a certain class of random vectors. (Russian) Soobshch. Akad. Nauk Gruzin. SSR 61 (1971), 21-24.
The uniform estimation of the rate of convergence in a multidimensional local limit theorem for densities. (Russian) Teor. Verojatnost. i Primenen. 16 (1971), 765-767.
On the calculation of the moments of a parametric estimator of the density of a distribution. (Russian) Soobshch. Akad. Nauk Gruzin. SSR 72 (1973), 281-284.
Certain statistics that are connected with a parametric estimator of the density of a distribution. (Russian) Soobshch. Akad. Nauk Gruzin. SSR 75 (1974), 541-544.
Mean square deviation of parametric estimates of the density of a distribution. (Russian) Tr. Inst. Prikl. Mat. Tbil. Gos. Univ. 4 (1975), 249-255.
An inequality for the characteristic function of a certain degenerate multivariate distribution. (Russian) Soobshch. Akad. Nauk Gruzin. SSR 84 (1976), no. 2, 277-280.
Inequalities for the characteristic function of an absolutely continuous distribution. (Russian) Soobshch. Akad. Nauk Gruzin. SSR 91 (1978), no. 3, 533-536.
On the convergence of densities of sums of independent random vectors. Probability theory and mathematical statistics (Tbilisi, 1982), 576-586, Lecture Notes in Math., 1021, Springer, Berlin, 1983.
On multidimensional local limit theorems for densities. (Russian) Limit theorems and stochastic equations, Work Collect., Tbilisi, 1984, 12-53.
Limit theorems for conditionally independent random vectors and its application in statistics. (Russian) Limit theorems and stochastic equations, Work Collect., Tbilisi, 1984, 54-71 (with I. V. Bokuchava and R. Ja. Chitashvili).
Some estimates for distributions of quadratic forms. (Russian) Teor. Veroyatnost. i Primenen. 30 (1985), No. 3, 549-554 (with V. L. Rotar).
On limit theorems for random vectors controlled by a Markov chain. Probability theory and mathematical statistics, Vol. I (Vilnius, 1985), 231-250, VNU Sci. Press, Utrecht, 1987 (with I. V. Bokuchava and Z. A. Kvatadze).
On limit theorems for conditionally independent random variables controlled by a finite Markov chain. Probability theory and mathematical statistics (Kyoto, 1986), 250-258, Lecture Notes in Math., 1299, Springer, Berlin, 1988 (with Z. A. Kvatadze).
Multidimensional analogues of an alternative of P. Lévy. (Russian) Probability theory and mathematical statistics (Russian). Trudy Tbiliss. Mat. Inst. Razmadze Akad. Nauk Gruzin. SSR 92 (1989), 21-27.
Preface (a description of lectures in probability theory delivered by A. Razmadze at Tbilisi State University in academic year 1928/1929) . In: A. Razmadze's Lectures in Probability Theory. According to the records by D. Vashakidze prepared for publication and supplied with preface and comments by T. Shervashidze, Metsniereba, Tbilisi, 1991, 5-9; English summary: Ibid., 165-169.
Bounds for the characteristic functions of the system of monomials in random variables and of its trigonometric analogue. Georgian Math. J. 4(1997), No. 6, 579-584.
Some properties of a parametric estimate of the distribution density. Seminari de Probab. e Statis. Matemat. anno academ. 1995-96 e 1996-97, Ed. Universita degli studi di Cassino, 1998, 97-146.
Central limit theorem for conditionally m-dependent random vectors controlled by a finite Markov chain. Proc. of 4th Iranian International Statistics Conference, vol. 1, Shahid Beheshti University Press, Tehran, Iran, 1999, 249-260 (with I. Bokuchava and Z. Kvatadze).
Local limit theorems for conditionally independent random variables controlled by a finite Markov chain. (Russian) Teor. Veroyatnost. i Primen. 44 (1999), No. 1, 143-148; English transl.: Theory Probab. Appl. 44(1999), No.1, 131-135.
On an extremum problem. Mem. Differential Equations Math. Phys. 24(2001), 109-114 (with V. Rotar).
On a local limit theorem for lattice distributions. Proc. A. Razmadze Math. Inst. 130 (2002), 7-12 (with N. Gamkrelidze).
Bounds for the characteristic functions of some degenerate multidimensional distributions. Georgian Math. J. 10 (2003), No. 2, 353-362.
Limit theorems for weighted sums of independent identically distributed random vectors. Proc. A. Razmadze Math. Inst. 136 (2004), 127-134.
On the accuracy of Kraft upper bound for the L_{1}-distance between Gaussian densities in R^{k}. Georgian Math. J. 12 (2005), No. 4, 679-682 (with Z. Kvatadze).
Rate of approximation for certain Durrmeyer operators. Georgian Math. J. 13 (2006), No. 2, 277-284 (with V. Gupta and M. Craciun).
CLT for operator Abel sums of random elements. Georgian Math. J. 15 (2008), No. 4, 785-792 (with V. Tarieladze).
On some limit theorems for sums and products of random variables. Proc. A. Razmadze Math. Inst. 150 (2009), 99-104 (with Z. Kvatadze).
On the rate of normal approximation for sums of conditionally independent random variables. Semin. I. Vekua Inst. Appl. Math. Rep. 35 (2009), 82-86 (with Z. Kvatadze).
Limit theorems for discounted sums of random vectors with a varying discount matrix. Bull. TICMI 14 (2010), 33-38 (with I. Gasviani).
Upper bounds for Bernstein basis functions. In: Prokhorov and contemporary probability theory, 293-301, Springer Proc. Math. Stat., 33, Springer, Heidelberg, 2013 (with V. Gupta).
Articles in “Georgian Sovjet Enciclopaedia” (Limit Theorems, Mathematical Statistics, Monte-Carlo Method, Statistical Decision Theory, Statistical Estimation, Testing of Statistical Hypotheses) (Georgian) vols. 4,7,10,11, Sabchota Sakartvelo, Tbilisi, 1979-1991(with R. Chitashvili).
Reports on Bakuriani School and Colloquia in Probability Theory and Mathematical Statistics. Theor. Probab. Appl. vols. 24, 26, 28, 29, 31, 32, 34, 35 (1979-1990) (some of them with A. A. Novikov).
Probability Theory (Course of Lectures) (Georgian) Tbilisi University Press, Tbilisi, 1980, 222 pp.
Towards Statistical Investigation of Dynamics of Surface Defects on Pipes (Russian). In: Materials of 4^{th} Georgian Scientific and Technical Conference of Young Scientists. Metsniereba, Tbilisi, 1980, 119-123 (with R. Chitashvili, K. Papava and A. Tutberidze).
Probability Theory and Mathematical Statistics (Russian). In: A. Razmadze Mathematical Institute. 50^{th} Anniversary. Mestniereba, Tbilisi, 1985, pp.130-135.
Preface (A Survey of Scientific and Pedagogical Activity of Prof. G. Mania) Proc. A Razmadze Math. Inst., 92 (1989), 3-6 (with Yu.V. Prokhorov and A.N. Shiryaev).
Preface ( To the 60^{th} Birthday of Acad. Yu.V. Prokhorov). Proceedings of Bakuriani Colloquium in Honor of Yu.V. Prokhorov. New Trends in Probability and Statistics, vol. I, VSP,Utrecht-Mokslas, Vilnius, 1991, xiii-xiv (with V.V. Sazonov).
Comments ( Bibliographical and Historical Notes, Problem Solutions etc.) In: A. Razmadze’s Lectures in Probability Theory. According to the records by D. Vashakidze, prepared for publication and supplied with preface and comments by T. Shervashidze, Metsniereba, Tbilisi, 1991, 100-160.
Revaz Chitashvili (Obituary), ISI Newsletter, 21 (1997), No.1(61), 8.
To the memory of Prof. R.Chitashvili. Proc. A Razmadze Math. Inst., 115 (1997), 5-13 (with N. Lazrieva, M. Mania and T. Toronjadze).
Probability Theory (Georgian), Enciclopaedia “Georgia”, vol. 1, Qartuli Enciclopaedia, Tbilisi, 1997, p. 91-92 (with N. Vakhania).
Probability Theory and Mathematical Statistics for Economists. (Georgian) Foundation “Eurasia” and A. Razmadze Mathematical Institute, Tbilisi, 2000, 662 pp. (with N. Lazrieva, M. Mania, G. Mari, A. Mosidze, A. Toronjadze and T. Toronjadze).
A note on the total variation of the difference of Gaussian measures in R^{k}. Materials of 5th International Fergana Conference "Limit Theorems of Probability Theory and Their Applications" (Fergana Colloquium) dedicated to the memory of Acad. S.Kh. Sirazhdinov, Tashkent, 2005, 34-35 (with Z. Kvatadze).
On limit theorems for weighted sums of i.i.d. random vectors. Materials of 5th International Fergana Conference "Limit Theorems of Probability Theory and Their Applications" (Fergana Colloquium) dedicated to the memory of Acad. S.Kh. Sirazhdinov, Tashkent, 2005, 45-50.
Problems for students from A. Razmadze's course of lectures in Probability theory. (Georgian) 3rd Georgian Congress of Mathematicians (Tbilisi, October, 2001). Abstracts of Communications, Tbilisi, 2001, p. 113.
A proof of composition formula without Fubini theorem. (Georgian) 3rd Georgian Congress of Mathematicians (Tbilisi, November, 2001). Abstracts of Communications, Tbilisi, 2005, p. 142.
On a problem from "Ratiocinii de Ludo Aleae" by Huygens. (Georgian) 3rd Georgian Congress of Mathematicians (Tbilisi, November, 2001). Abstracts of Communications, Tbilisi, 2005, p. 143.
On some exercises in probability theory proposed by M.I. Yadrenko. International Conference Modern Stochastics: Theory and Applications , Kyiv, Ukraine (June 19-23, 2006). Materials, Kyiv, 2006, pp. 94-95.
On statistical analysis of a class of conditionally independent observations. The International Scientific Conference "Problems of Cybernetics and Informatics", October 24-26, 2006, Baku, Azerbaijan, vol.1, 17-19. Institute of Information Technologies of NASA, Baku, 2006. www.pci2006.science.az/2/05.pdf
CLT for operator Abel summation. PUB. IRMA, LILLE 68(2008), No. 5, 1-7 (with V. Tarieladze).
Some limit theorems for i.i.d. and conditionally independent random variables. The Second International Scientific Conference "Problems of Cybernetics and Informatics", September 10-12, 2008, Baku, Azerbaijan, vol.2, 217-219. Institute of Information Technologies of NASA, Baku, 2006. www.pci2008.science.az/4/12.pdf