## Professor GVANJI MANIA## (29.05.1918, village Etseri, Georgia - 16.03.1985, Tbilisi, Georgia) |

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 |

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 |

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

- Honoured Scientist of Georgia, 1966.
- I. Javakhishvili Medal of Tbilisi State University, 1973.

- Member of Society of Georgiam Mathematicians, 1962
- Member of Committe of Application of Statistics in Physical Sciences of the International Statistical Association, 1969

- Delegate of an International Congress of Mathematicians, Nice, France, 1970.
- Vice-Chairman of the Soviet-Japan Symposium on Probability Theory and Mathematical Statistics, Tbilisi, 1982.
- Delegate of the 37-th Session of the International Statistical Institute, London, 1969.

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

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

- Some methods of mathematical statistics. (Georgian)
*Publishing house of Georgian Academy of Sciences*, Tbilisi, 1963, pp. 351. - Statistical estimation of probability distributions. (Russian)
*Tbilisi University Press*, 1974, pp. 240. - Probability theory. (Georgian)
*Publishing house of Ministry of Education, Tbilisi*, 1954, pp. 240. - Mathematical statistics in technics. (Georgian),
*Sabchota Sakartvelo, Tbilisi*, 1958, pp. 345. - The course of probability theory. (Georgian)
*Tbilisi University Press*, Tbilisi, 1962, pp. 340. - Linear programming. (Georgian),
*"Ganatleba", Tbilisi*, 1967, pp. 295. - The course of high mathematic. (Georgian)
*Tbilisi State University*, Tbilisi, 1967, pp. 498. (with P.Zeragia) - Ilia Vekua. (Georgian)
*Publishing house of Tbilisi State University*, 1967, pp. 75. (with B.Hvedelidze) - Probability theory and mathematical statistic. (Georgian)
*Publishing house of Tbilisi State University*, 1976, pp. 350. - 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**

- 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. - Statistical estimation of distribution laws. (Russian)
*Uchenie Zapiski MGPI imeni V.P. Potiomkina***16**(1951), 17-63. - 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. - 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. - Square estimation of divergence of normal densities by empirical
data. (Georgian)
*Soobshch. AN GSSR*,**17**(1956), No. 3, 201-204. - Square estimation of normal distribution densities by empirical
data (Russian).
*Trydy Vsesojuznogo Mat. Siezda, IZD. AH SSSR*,**1**(1956), 124-125. - Quadratic error of an estimation of twodimensional normal density
by empirical data. (Russian)
*Soobshch. AN GSSR*,**20**(1958), No. 6, 655-658. - Quadratic error of the estimation of normal density
by empirical data. (Russian)
*Tr. Vychisl. Tsentra AH GSSR*,**1**(1960), 75-96. - On one method of constructing of confidence regions
for two samples from general population. (Russian)
*Soobshch. AN GSSR*,**27**(1961), No. 2, 137-142. - Remark on non-parametric estimations of twodimensional
densities. (Russian)
*Soobshch. AN GSSR*,**27**(1961), No. 4, 385-390. - Square estimation of divergence of twodimensional
normal distribution densities by empirical
data. (Russian)
*Tr. BC AH GSSR*,**2**(1961), 153-211. - 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. - Quadratic error of an estimation of densities of
normal distributions by two samples (Russian)
*Trudy. BC AH SSSR*,**4**(1963), 213-216. - Hypothesis testing of identity of distributions of
two independent samples. (Russian)
*Tr. Vichisl. Tsentra AH GSSR*,**7**(1966), 1-34. - 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. - Quadratic error of the estimation of multidimensional
normal distribution densities by empirical data. (Russian)
*Soobshch. AN GSSR*,**52**(1968), No. 1, 27-30. - Quadratic error of the estimation of multidimensional
normal distribution densities by empirical
data (Russian)
*Probability Theory and Appl.*,**13**(1968), No. 2, 359-362. - 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. - Quadratic error of an estimation of densities of multidimensional
normal distribution by empirical
data (Russian)
*Proc. of Tbilisi State University*,**2**(1969), 223-227. - Quadratic error of an estimation of densities of multidimensional
normal distribution by empirical data.
*Congres international des Mathematiciens, Nice, Paris,*, (1970), Abstracts 260. - Quadratic error of an estimation of
normal distribution densities by several samples (Russian)
*Soobshch. AN GSSR*,**67**(1972), No. 2, 301-304. - 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) - 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)
- 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)

- 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.
- T.Shervashidze, Probability Theory and Mathematical Statistics (Russian) in 50-th anniversary of Tbilisi A.Razmadze Math. Institute, Metsniereba, Tbilisi, 1985.