Professor GVANJI MANIA

(29.05.1918, village Etseri, Georgia - 16.03.1985, Tbilisi, Georgia)





EDUCATION AND SCIENTIFIC DEGREES

1935-1940 Student of Tbilisi State University, Faculty of Physics and Mathematics.
1940 Diploma in Mathematics, Tbilisi State University
1946-1949 Post-graduate student of Potiomkin Moscow Pedagogical Institute
1949 Ph.D. in Mathematics, Potiomkin Moscow Pedagogical Institute
1963 Dr. Sci. (Phys. & Math.), Tbilisi State University
1964 Conferred the rank of professor




POSITIONS HELD AND ACADEMIC EXPERIENCE

1932-1935 Teacher of Zugdidi school
1940-1945 Assistant of Zugdidi Pedagogical Institute
1945-1946 Inspector of the high school department at the Ministry of Education of Georgian SSR
1949-1956 Docent of Baratashvili Gori Pedagogical Institute
1950-1958 Docent of Tbilisi Politechnical Institute
1955-1956 Senior researcher of Tbilisi Mathematical Institute
1956-1964 Assistant Director of Computing Centre of Georgian Academy of Sciences
1964-1966 Head of the Department of Computing Centre of Georgian Academy of Sciences
1966-1972 Assistant Director of Institute of Applied Mathematics of Tbilisi State University
1966-1969 Head of the Department of Institute of Applied Mathematics of Tbilisi State University
1957-1964 Docent of Tbilisi State University
1964-1985 Professor of Tbilisi State University
1968-1985 Head of the CHair of Probability Theory and Mathematical Statistics of Tbilisi State University
1973-1985 Head of the Sector of Mathematical Statistics and Economical-Mathematical Research of the Institute of Economic and Right of Georgian Academy of Sciences




RESEARCH INTERESTS

Probability Theory and Mathematical Statistics. Parametric and non-parametric estimation of distributions, applied mathematics.




PRIZES AND AWARDS




MEMBERSHIP IN SCIENTIFIC SOCIETIES




PARTICIPATION IN CONFERENCES AND OTHER SCIENTIFIC FORUMS




EDITORIAL ACTIVITIES

1978-1985 Member of Editorial Board of the journal "Statistics" Berlin




SUPERVISION OF POST-GRADUATE STUDENTS

O.Glonti, B. Dochviri, M.Mamatkulov, A. Dograshvili.




MAIN PUBLICATIONS

(i) Monographs

  1. Some methods of mathematical statistics. (Georgian) Publishing house of Georgian Academy of Sciences, Tbilisi, 1963, pp. 351.
  2. Statistical estimation of probability distributions. (Russian) Tbilisi University Press, 1974, pp. 240.
  3. Probability theory. (Georgian) Publishing house of Ministry of Education, Tbilisi, 1954, pp. 240.
  4. Mathematical statistics in technics. (Georgian), Sabchota Sakartvelo, Tbilisi, 1958, pp. 345.
  5. The course of probability theory. (Georgian) Tbilisi University Press, Tbilisi, 1962, pp. 340.
  6. Linear programming. (Georgian), "Ganatleba", Tbilisi, 1967, pp. 295.
  7. The course of high mathematic. (Georgian) Tbilisi State University , Tbilisi, 1967, pp. 498. (with P.Zeragia)
  8. Ilia Vekua. (Georgian) Publishing house of Tbilisi State University, 1967, pp. 75. (with B.Hvedelidze)
  9. Probability theory and mathematical statistic. (Georgian) Publishing house of Tbilisi State University, 1976, pp. 350.
  10. A book of problems in probability theory and mathematical statistic. (Georgian). Publishing house of Tbilisi State University, 1976, pp. 120. (with A.Ediberidze and N.Anthelava)

    (ii) Selected Publications


  11. Generalization of A.N. Kolmogorov's criterion for the estimation of distribution laws by empirical data. (Russian) Dokl. Akad. Nauk SSSR, 69(1949), No. 4, 495-497.
  12. Statistical estimation of distribution laws. (Russian) Uchenie Zapiski MGPI imeni V.P. Potiomkina 16 (1951), 17-63.
  13. Practical applications of an estimation of a maximum of two-sided deviations of empirical distribution in a given interval of growth of a theoretical law. (Russian) Soobshch. AKad. Nayk GSSR,14(1953), No. 9, 521-524.
  14. Practical applications of an estimation of a maximum of one-sided deviations of an empirical distribution in a given interval of growth of a theoretical law. (Russian) Proc. of Georgian Politechnical Institute, 30(1954), No. 9, 89-92.
  15. Square estimation of divergence of normal densities by empirical data. (Georgian) Soobshch. AN GSSR, 17 (1956), No. 3, 201-204.
  16. Square estimation of normal distribution densities by empirical data (Russian). Trydy Vsesojuznogo Mat. Siezda, IZD. AH SSSR, 1 (1956), 124-125.
  17. Quadratic error of an estimation of twodimensional normal density by empirical data. (Russian) Soobshch. AN GSSR, 20 (1958), No. 6, 655-658.
  18. Quadratic error of the estimation of normal density by empirical data. (Russian) Tr. Vychisl. Tsentra AH GSSR, 1 (1960), 75-96.
  19. On one method of constructing of confidence regions for two samples from general population. (Russian) Soobshch. AN GSSR, 27 (1961), No. 2, 137-142.
  20. Remark on non-parametric estimations of twodimensional densities. (Russian) Soobshch. AN GSSR, 27 (1961), No. 4, 385-390.
  21. Square estimation of divergence of twodimensional normal distribution densities by empirical data. (Russian) Tr. BC AH GSSR, 2 (1961), 153-211.
  22. Square estimation of divergence of twodimensional normal distribution densities by empirical data (Russian) Proc. of 6-th Vilnius Conference in Probab. Theory and Math. Stat., (1962), 407-409.
  23. Quadratic error of an estimation of densities of normal distributions by two samples (Russian) Trudy. BC AH SSSR, 4 (1963), 213-216.
  24. Hypothesis testing of identity of distributions of two independent samples. (Russian) Tr. Vichisl. Tsentra AH GSSR, 7 (1966), 1-34.
  25. Square estimation of divergence of densities of multidimensional normal distribution by empirical data (po dannim viborki) (Russian) Proc. of Tbilisi State University,129 (1962), 373-382.
  26. Quadratic error of the estimation of multidimensional normal distribution densities by empirical data. (Russian) Soobshch. AN GSSR, 52 (1968), No. 1, 27-30.
  27. Quadratic error of the estimation of multidimensional normal distribution densities by empirical data (Russian) Probability Theory and Appl., 13 (1968), No. 2, 359-362.
  28. Quadratic error of an estimation of densities of multidimensional normal distribution by empirical data. (Russian) Probability Theory and Appl., 14 (1969), No. 1, 151-155.
  29. Quadratic error of an estimation of densities of multidimensional normal distribution by empirical data (Russian) Proc. of Tbilisi State University, 2 (1969), 223-227.
  30. Quadratic error of an estimation of densities of multidimensional normal distribution by empirical data. Congres international des Mathematiciens, Nice, Paris,, (1970), Abstracts 260.
  31. Quadratic error of an estimation of normal distribution densities by several samples (Russian) Soobshch. AN GSSR, 67 (1972), No. 2, 301-304.
  32. One approximation of distributions of positive defined quadratic forms of normal random variables, (Russian).Soobshch. AN GSSR, 107 (1982), No. 2, 241-244.(with E.Khmaladze and V.Felker)
  33. On the estimation of parameters of type of stable laws, Proceedings of the first International Tampere Seminar on linear Statistical Models and their Applications (1983) Tampere University, 1985, pp. 202-223. (with L.Klebanov and I.Melamed)
  34. One problem of V.M.Zolotarev and analogue ofinfinitely divisible and stable distributions in the scheme of the sum of random number of random variables. (Russian) Probability Theory and Appl., 29 (1984), 757-760. (with L.Klebanov and I.Melamed)




BIBLIOGRAPHY ON

  1. Yu. V. Prokhorov, A. N. Shiryaev, T. L. Shervashidze, Preface (Russian) to Vol. 92 of Proc. Tbilisi A.Razmadze Math. Institute dedicated to 70-th birthday of G.M. Mania, 1989, pp. 1-8.
  2. T.Shervashidze, Probability Theory and Mathematical Statistics (Russian) in 50-th anniversary of Tbilisi A.Razmadze Math. Institute, Metsniereba, Tbilisi, 1985.