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
 Volodymyr Semenovych Koroli︠u︡k : tvorchyĭ shli︠a︡kh( Book )
 Vladimir Semenovich Koroli︠u︡k( Book )
Most widely held works by
V. S Koroli︠u︡k
Theory of Ustatistics 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 Ustatistics. 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 Ustatistics 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 Ustatistics destributions and the convergence of distributions in infinitedimensional spaces are discussed. Various generalizations of Ustatistics for dependent multisample variables and for varying kernels are examined. When proving limit theorems and inequalities for the moments and characteristic functions the martingale structure of Ustatistics 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
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 Ustatistics. 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 Ustatistics 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 Ustatistics destributions and the convergence of distributions in infinitedimensional spaces are discussed. Various generalizations of Ustatistics for dependent multisample variables and for varying kernels are examined. When proving limit theorems and inequalities for the moments and characteristic functions the martingale structure of Ustatistics 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
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
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 semiMarkov processes whose phase space is considered in asympt
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 semiMarkov processes whose phase space is considered in asympt
SemiMarkov 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 semiMarkov 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 semiMarkov 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
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 semiMarkov 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 semiMarkov 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
9 editions published between 1978 and 1993 in English and Russian and held by 113 WorldCat member libraries worldwide
Aidemémoire 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
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
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
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
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
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
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
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
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
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
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
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
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
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
2 editions published in 1982 in Russian and held by 14 WorldCat member libraries worldwide
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Related Identities
 Limnios, N. (Nikolaos)
 Borovskikh, I︠U︡. V. (I︠U︡riĭ Vasilʹevich) Author
 Svishchuk, A. V. (Anatoliĭ Vitalʹevich)
 Instytut matematyky (Akademii︠a︡ nauk Ukraïnsʹkoï RSR)
 Turbin, A. F. (Anatoliĭ Fedorovich) Editor
 Korolyuk, Vladimir V.
 Gnedenko, B. V. (Boris Vladimirovich) 19121995 Author
 I︠U︡shchenko, Ekaterina Logvinovna
 Skorokhod, A. V. (Anatoliĭ Vladimirovich) 19302011 Editor
 Instytut matematyky NAN Ukraïny
Useful Links
Associated Subjects
Boundary value problems Computer programming Differential equations Differential equations, NonlinearAsymptotic theory Distribution (Probability theory) Functional analysis Integral equations Koroli︠u︡k, V. S.(Vladimir Semenovich), Linear operators Markov processes Martingales (Mathematics) Mathematical optimization Mathematical physics Mathematical statistics Mathematicians Mathematics Matrices Operator theory Permanents (Matrices) Perturbation (Mathematics) Poisson distribution Probabilistic number theory Probabilities ProbabilitiesStudy and teaching Semimartingales (Mathematics) Skorokhod, A. V.(Anatoliĭ Vladimirovich), Statistics Stochastic approximation Stochastic models Stochastic processes Ukraine Ustatistics Vibration
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
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