Speciality:
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.
Main publications:
Zolotuhina L. A., Balitskaya E. O. On the representation of a density by a Edgeworth series // Biometrika, 1988, 75(1), 185–187.
