05.13.16 (Computer techniques, mathematical modelling, and mathematical methods with an application to scientific researches)
Birth date:
22.10.1935
E-mail:
Keywords:
maximum likehood estimators; asymptotic properties of estimators; small samples; limit theorems; Poisson approximation; Edgeworth series; tree-parametric Weibull distribution; matching problem; stochastic model of a stratified medium.
Subject:
Asymptotic distribution of a number of correctly matching pairs are found. Special goodness of fit tests for small samples as well as asymptotic properties of maximum likehood and moment estimators of parameters for various distributions are investigated. The conditions for correct approximation of a random variable density defined on a finite interval by the trunkated Edgeworth series are found. Several central limit theorems for random point fields are proved. The problem of interpreting seismic data by the method of reflected waves was formulated and solved: actually, the waves sum is a stochastic process, both the exact and the asymptotic characteristics of this process were found.
Biography
I graduated from St. Petersburg University in Russia (1958), Dept. of Mathematics and Mechanics (Theory of Probabilities and Mathematical Statistics chair), and worked in the Russian Academy of Sciences (1959Ndash;1974), Leningrad Branch of Steklov Institute of Mathematics (laboratory of mathematical statistics) under the guidance of acad. Yu. V. Linnik. Ph.D. degree — 1969. D.Sci. degree — 2001. Author of more than 100 papers.
Main publications:
Zolotuhina L. A., Balitskaya E. O. On the representation of a density by a Edgeworth series // Biometrika, 1988, 75(1), 185–187.
L. A. Zolotuhina, “Asymptotic distribution of the number of matches in a two-dimensional sample under natural matching”, Izv. Vyssh. Uchebn. Zaved. Mat., 2000, no. 5, 23–30; Russian Math. (Iz. VUZ), 44:5 (2000), 21–28
1988
2.
E. O. Balitskaya, L. A. Zolotuhina, “Asymptotic properties of estimators of parameters of the Weibull distribution”, Zap. Nauchn. Sem. LOMI, 166 (1988), 9–16
1984
3.
K. P. Latishev, L. A. Zolotuhina, “Integral representation of the variance in the problem of number of correctly matched pairs”, Zap. Nauchn. Sem. LOMI, 136 (1984), 113–120
L. A. Zolotukhina, V. N. Chugueva, “Sufficient conditions for asymptotic normality of sums of values of discrete random fields, dependent in strips”, Mat. Zametki, 23:5 (1978), 725–732; Math. Notes, 23:5 (1978), 400–403
L. A. Zolotuhina, K. P. Latishev, “Asymptotic representation of the mean on paring observations”, Zap. Nauchn. Sem. LOMI, 79 (1978), 4–10; J. Soviet Math., 36:5 (1987), 571–575
L. A. Zolotuhina, V. N. Chugueva, “The central limit theorem for a certain class of random fields”, Mat. Zametki, 14:4 (1973), 549–558; Math. Notes, 14:4 (1973), 873–877
1969
7.
L. A. Zolotuhina, “Asymptotic distribution of sequences with random indices”, Mat. Zametki, 6:6 (1969), 705–712; Math. Notes, 6:6 (1969), 887–891
8.
L. A. Zolotuhina, K. P. Latishev, V. N. Chugueva, “Convergence of one partial form of sums of dependent random vectors to a normal distribution”, Mat. Zametki, 5:6 (1969), 691–695; Math. Notes, 5:6 (1969), 413–415
1968
9.
L. A. Zolotuhina, K. P. Latishev, V. N. Chugueva, “Stochastic models of a stratified medium, and probabilistic properties of reflected waves that propagate in these media”, Trudy Mat. Inst. Steklov., 95 (1968), 42–97; Proc. Steklov Inst. Math., 95 (1968), 47–113
10.
L. A. Zolotuhina, “Probabilistic characteristics and asymptotic distributions of once-reflected sum waves in a stochastic model of a stratified medium as applied to seismic prospecting”, Trudy Mat. Inst. Steklov., 95 (1968), 21–41; Proc. Steklov Inst. Math., 95 (1968), 23–46
1965
11.
F. M. Gol'tsman, L. A. Zolotuhina, K. P. Latishev, L. A. Khalfin, N. M. Khalfina, V. N. Chugueva, “Statistical problems in the interpretation of seismic data”, Trudy Mat. Inst. Steklov., 79 (1965), 160–181
Contact us: