WorldCat Identities

Koroli︠u︡k, V. S. (Vladimir Semenovich) 1925-

Overview
Works: 156 works in 334 publications in 5 languages and 2,865 library holdings
Roles: Author, Editor, Adapter, Honoree
Classifications: QC20.7.S8, 519.23
Publication Timeline
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Most widely held works about V. S Koroli︠u︡k
 
Most widely held works by V. S Koroli︠u︡k
Theory of U-statistics by V. S Koroli︠u︡k( Book )

15 editions published between 1989 and 2011 in 3 languages and held by 146 WorldCat member libraries worldwide

This monograph contains, for the first time, a systematic presentation of the theory of U-statistics. On the one hand, this theory is an extension of summation theory onto classes of dependent (in a special manner) random variables. On the other hand, the theory involves various statistical applications. The construction of the theory is concentrated around the main asymptotic problems, namely, around the law of large numbers, the central limit theorem, the convergence of distributions of U-statistics with degenerate kernels, functional limit theorems, estimates for convergence rates, and asymptotic expansions. Probabilities of large deviations and laws of iterated logarithm are also considered. The connection between the asymptotics of U-statistics destributions and the convergence of distributions in infinite-dimensional spaces are discussed. Various generalizations of U-statistics for dependent multi-sample variables and for varying kernels are examined. When proving limit theorems and inequalities for the moments and characteristic functions the martingale structure of U-statistics and orthogonal decompositions are used. The book has ten chapters and concludes with an extensive reference list. For researchers and students of probability theory and mathematical statistics
Stochastic models of systems by V. S Koroli︠u︡k( Book )

11 editions published between 1999 and 2013 in English and held by 125 WorldCat member libraries worldwide

In this monograph stochastic models of systems analysis are discussed. It covers many aspects and different stages from the construction of mathematical models of real systems, through mathematical analysis of models based on simplification methods, to the interpretation of real stochastic systems. The stochastic models described here share the property that their evolutionary aspects develop under the influence of random factors. It has been assumed that the evolution takes place in a random medium, i.e. unilateral interaction between the system and the medium. As only Markovian models of random medium are considered in this book, the stochastic models described here are determined by two processes, a switching process describing the evolution of the systems and a switching process describing the changes of the random medium. Audience: This book will be of interest to postgraduate students and researchers whose work involves probability theory, stochastic processes, mathematical systems theory, ordinary differential equations, operator theory, or mathematical modelling and industrial mathematics
Evolution of systems in random media by V. S Koroli︠u︡k( Book )

4 editions published in 1995 in English and held by 123 WorldCat member libraries worldwide

Stochastic systems in merging phase space by V. S Koroli︠u︡k( Book )

13 editions published in 2005 in English and held by 119 WorldCat member libraries worldwide

This book provides recent results on the stochastic approximation of systems by weak convergence techniques. General and particular schemes of proofs for average, diffusion, and Poisson approximations of stochastic systems are presented, allowing one to simplify complex systems and obtain numerically tractable models. The systems discussed in the book include stochastic additive functionals, dynamical systems, stochastic integral functionals, increment processes and impulsive processes. All these systems are switched by Markov and semi-Markov processes whose phase space is considered in asympt
Semi-Markov random evolutions by V. S Koroli︠u︡k( Book )

13 editions published between 1994 and 1995 in English and held by 113 WorldCat member libraries worldwide

The evolution of systems is a growing field of interest stimulated by many possible applications. This book is devoted to semi-Markov random evolutions (SMRE). This class of evolutions is rich enough to describe the evolutionary systems changing their characteristics under the influence of random factors. At the same time there exist efficient mathematical tools for investigating the SMRE. The topics addressed in this book include classification, fundamental properties of the SMRE, averaging theorems, diffusion approximation and normal deviations theorems for SMRE in ergodic case and in the scheme of asymptotic phase lumping. Both analytic and stochastic methods for investigation of the limiting behaviour of SMRE are developed. This book includes many applications of rapidly changing semi-Markov random media, including storage and traffic processes, branching and switching processes, stochastic differential equations, motions on Lie groups, and harmonic oscillations. This volume will be of interest to statisticians whose work involves operator theory, functional analysis, systems theory and cybernetics
Mathematical foundations of the state lumping of large systems by V. S Koroli︠u︡k( Book )

9 editions published between 1978 and 1993 in English and Russian and held by 113 WorldCat member libraries worldwide

Aide-mémoire de théorie des probabilités et de statistique mathématique( Book )

17 editions published between 1978 and 1985 in French and Russian and held by 107 WorldCat member libraries worldwide

Martingale approximation by I︠U︡. V Borovskikh( Book )

6 editions published in 1997 in English and held by 90 WorldCat member libraries worldwide

Random permanents by I︠U︡. V Borovskikh( Book )

5 editions published in 1994 in English and held by 48 WorldCat member libraries worldwide

Exploring stochastic laws : Festschrift in honor of the 70th birthday of academician Vladimir Semenovich Korolyuk( Book )

3 editions published in 1995 in English and held by 37 WorldCat member libraries worldwide

Elements de programmation sur ordinateurs by B. V Gnedenko( Book )

9 editions published between 1961 and 1969 in Russian and French and held by 34 WorldCat member libraries worldwide

Elemente der Programmierung by B. V Gnedenko( Book )

6 editions published in 1964 in German and held by 31 WorldCat member libraries worldwide

Skorokhod's ideas in probability theory( Book )

5 editions published in 2000 in English and held by 24 WorldCat member libraries worldwide

Analiticheskie metody v teorii veroi︠a︡tnosteĭ : Sb. nauch. tr.( Book )

4 editions published between 1979 and 1984 in Russian and held by 21 WorldCat member libraries worldwide

Primenenie analiticheskikh metodov v teorii veroi︠a︡tnosteĭ : sbornik nauchnykh trudov( Book )

4 editions published in 1983 in Russian and held by 19 WorldCat member libraries worldwide

Granichnye zadachi dli︠a︡ slozhnykh puassonovskikh prot︠s︡essov by V. S Koroli︠u︡k( Book )

3 editions published in 1975 in Russian and held by 18 WorldCat member libraries worldwide

Problemy asimptoticheskoĭ teorii nelineĭnykh kolebaniĭ = Problems of the asymptotic theory of nonlinear oscillations : [Sb. stateĭ( Book )

2 editions published in 1977 in Russian and held by 17 WorldCat member libraries worldwide

Analiticheskie metody issledovaniĭ v teorii veroi︠a︡tnosteĭ : sbornik nauchnykh trudov( Book )

2 editions published in 1981 in Russian and held by 15 WorldCat member libraries worldwide

Ėlementy programmirovanii︠a︡. Dopushcheno v kachestve ucheb. posobii︠a︡ dli︠a︡ vysshikh ucheb. zavedeniĭ by B. V Gnedenko( Book )

3 editions published between 1961 and 1963 in Russian and held by 14 WorldCat member libraries worldwide

Prikladnye zadachi teorii veroi︠a︡tnosteĭ : sbornik nauchnykh trudov( Book )

2 editions published in 1982 in Russian and held by 14 WorldCat member libraries worldwide

 
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Audience level: 0.69 (from 0.02 for Stochastic ... to 0.92 for Volodymyr ...)

Alternative Names
Koroliouk, V.

Koroliouk, V. S. 1925-

Koroli︠u︡k, V.S. 1925-

Koroliuk, Vladimir S.

Koroliuk, Vladimir S. 1925-

Koroliuk Vladimir Semenovich

Koroli︠u︡k, Vladimir Semenovich 1925-

Koroliuk, Volodymyr 1925-

Koroliuk, Volodymyr S. 1925-

Koroli︠u︡k, Volodymyr Semenovych

Koroli︠u︡k, Volodymyr Semenovych 1925-

Koroljuk, V.S. 1925-

Koroljuk, Vladimir S. 1925-

Koroljuk, Vladimir Semenovič

Koroljuk, Vladimir Semenovič. [t]

Koroljuk, Volodymyr Semenovych 1925-

Koroljuk, W. S. 1925-

Korolûk, V. S.

Korolû̂k, Vladimir Semenovič

Korolyuk, V.

Korolyuk, V. 1925-

Korolyuk, V.S

Korolyuk, V.S. 1925-

Korolyuk, V. (Vladimir), 1925-

Korolyuk Vladimir S.

Korolyuk, Vladimir S. 1925-

Volodymyr Korolyuk

Volodymyr Korolyuk Ukrainian mathematician

Королюк, В. С 1925-

Королюк, В. С. (Владимир Семенович), 1925-

Королюк, Владимир Семёнович

Королюк, Владимир Семенович 1925-...

Королюк, Володимир Семенович 1925-

Languages
Covers
Stochastic models of systemsEvolution of systems in random mediaStochastic systems in merging phase spaceMathematical foundations of the state lumping of large systemsMartingale approximation