WorldCat Identities

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

Works: 123 works in 354 publications in 7 languages and 3,318 library holdings
Roles: Author, Editor, Honoree, Adapter, Contributor, Other, Redactor
Classifications: QC20.7.S8, 519.23
Publication Timeline
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 )

21 editions published between 1989 and 2011 in 3 languages and held by 154 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 in 1999 in English and held by 127 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. <br/> 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. <br/> 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 )

5 editions published in 1995 in English and held by 124 WorldCat member libraries worldwide

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

14 editions published in 2005 in English and held by 123 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 asymptotic split and merging schemes. Most of the results from semi-Markov processes are new and presented for the first time in this book
Semi-Markov random evolutions by V. S Koroli︠u︡k( Book )

15 editions published between 1994 and 1995 in English and held by 116 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
Martingale approximation by I︠U︡. V Borovskikh( Book )

10 editions published between 1988 and 1997 in English and Russian and held by 109 WorldCat member libraries worldwide

Mathematical foundations of the state lumping of large systems by V. S Koroli︠u︡k( Book )

9 editions published in 1993 in English and held by 102 WorldCat member libraries worldwide

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

12 editions published in 1983 in French and held by 74 WorldCat member libraries worldwide

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

16 editions published between 1961 and 1969 in 3 languages and held by 56 WorldCat member libraries worldwide

Random permanents by I︠U︡. V Borovskikh( Book )

6 editions published in 1994 in English and held by 52 WorldCat member libraries worldwide

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

5 editions published in 1995 in English and held by 43 WorldCat member libraries worldwide

Spravochnik po teorii veroi︠a︡tnosteĭ i matematicheskoĭ statistike( Book )

6 editions published between 1978 and 1985 in Russian and held by 36 WorldCat member libraries worldwide

Elemente der Programmierung by B. V Gnedenko( Book )

5 editions published in 1964 in German and held by 35 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

Manual de la teoría de probabilidades y estadística matemática by V. S Koroli︠u︡k( Book )

6 editions published between 1968 and 1986 in Spanish and English and held by 22 WorldCat member libraries worldwide

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

5 editions published in 1975 in Russian and held by 20 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 18 WorldCat member libraries worldwide

Fiziko-tekhnicheskie prilozhenii︠a︡ kraevykh zadach( Book )

3 editions published in 1978 in Russian and held by 18 WorldCat member libraries worldwide

Polumarkovskie prot︠s︡essy i ikh prilozhenii︠a︡ by V. S Koroli︠u︡k( Book )

4 editions published in 1976 in Russian and held by 16 WorldCat member libraries worldwide

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

2 editions published in 1983 in Russian and held by 14 WorldCat member libraries worldwide

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Audience level: 0.68 (from 0.02 for Stochastic ... to 0.93 for Volodymyr ...)

Theory of U-statistics
Alternative Names
Koroliouk, V.

Koroliouk, V.S. 1925-

Koroliuk, V. S.

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 1925-

Koroljuk, Vladimir Semenovič. [t]

Koroljuk, Volodymyr Semenovyč 1925-

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-

Korolyuk, Vladimir Semenovyč 1925-

Korolyuk, Volodymyr.

Korolyuk, Volodymyr 1925-

Volodymyr Korolyuk

Volodymyr Korolyuk matemático ruso

Volodymyr Korolyuk Russian mathematician

Volodymyr Korolyuk Ukrainian mathematician

Volodymyr Korolyuk wiskundige uit Oekraïne

Королюк, В. С 1925-

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

Королюк, Владимир Семёнович

Королюк, Владимир Семенович 1925-...

Королюк Володимир Семенович

Королюк, Володимир Семенович 1925-

Stochastic models of systemsEvolution of systems in random mediaStochastic systems in merging phase spaceMartingale approximationMathematical foundations of the state lumping of large systems