Rozanov, I︠U︡. A. (I︠U︡riĭ Anatolʹevich) 1934
Overview
Works:  104 works in 391 publications in 5 languages and 4,753 library holdings 

Genres:  Handbooks and manuals 
Roles:  Author, Editor, Other 
Classifications:  QA273, 519.2 
Publication Timeline
.
Most widely held works by
I︠U︡. A Rozanov
Probability theory; basic concepts, limit theorems, random processes by
I︠U︡. A Rozanov(
Book
)
77 editions published between 1967 and 2013 in 5 languages and held by 1,246 WorldCat member libraries worldwide
This clear exposition begins with basic concepts and moves on to combination of events, dependent events and random variables, Bernoulli trials and the De MoivreLaplace theorem, a detailed treatment of Markov chains, continuous Markov processes, and more. Includes 150 problems, many with answers. Indispensable to mathematicians and natural scientists alike
77 editions published between 1967 and 2013 in 5 languages and held by 1,246 WorldCat member libraries worldwide
This clear exposition begins with basic concepts and moves on to combination of events, dependent events and random variables, Bernoulli trials and the De MoivreLaplace theorem, a detailed treatment of Markov chains, continuous Markov processes, and more. Includes 150 problems, many with answers. Indispensable to mathematicians and natural scientists alike
Stationary random processes by
I︠U︡. A Rozanov(
Book
)
20 editions published between 1963 and 1967 in 3 languages and held by 473 WorldCat member libraries worldwide
20 editions published between 1963 and 1967 in 3 languages and held by 473 WorldCat member libraries worldwide
Gaussian random processes by
I. A Ibragimov(
Book
)
16 editions published in 1978 in English and Undetermined and held by 385 WorldCat member libraries worldwide
The book deals mainly with three problems involving Gaussian stationary processes. The first problem consists of clarifying the conditions for mutual absolute continuity (equivalence) of probability distributions of a "random process segment" and of finding effective formulas for densities of the equiva lent distributions. Our second problem is to describe the classes of spectral measures corresponding in some sense to regular stationary processes (in par ticular, satisfying the wellknown "strong mixing condition") as well as to describe the subclasses associated with "mixing rate". The third problem involves estimation of an unknown mean value of a random process, this random process being stationary except for its mean, i. e., it is the problem of "distinguishing a signal from stationary noise". Furthermore, we give here auxiliary information (on distributions in Hilbert spaces, properties of sam ple functions, theorems on functions of a complex variable, etc.). Since 1958 many mathematicians have studied the problem of equivalence of various infinitedimensional Gaussian distributions (detailed and sys tematic presentation of the basic results can be found, for instance, in [23]). In this book we have considered Gaussian stationary processes and arrived, we believe, at rather definite solutions. The second problem mentioned above is closely related with problems involving ergodic theory of Gaussian dynamic systems as well as prediction theory of stationary processes
16 editions published in 1978 in English and Undetermined and held by 385 WorldCat member libraries worldwide
The book deals mainly with three problems involving Gaussian stationary processes. The first problem consists of clarifying the conditions for mutual absolute continuity (equivalence) of probability distributions of a "random process segment" and of finding effective formulas for densities of the equiva lent distributions. Our second problem is to describe the classes of spectral measures corresponding in some sense to regular stationary processes (in par ticular, satisfying the wellknown "strong mixing condition") as well as to describe the subclasses associated with "mixing rate". The third problem involves estimation of an unknown mean value of a random process, this random process being stationary except for its mean, i. e., it is the problem of "distinguishing a signal from stationary noise". Furthermore, we give here auxiliary information (on distributions in Hilbert spaces, properties of sam ple functions, theorems on functions of a complex variable, etc.). Since 1958 many mathematicians have studied the problem of equivalence of various infinitedimensional Gaussian distributions (detailed and sys tematic presentation of the basic results can be found, for instance, in [23]). In this book we have considered Gaussian stationary processes and arrived, we believe, at rather definite solutions. The second problem mentioned above is closely related with problems involving ergodic theory of Gaussian dynamic systems as well as prediction theory of stationary processes
Markov random fields by
I︠U︡. A Rozanov(
Book
)
11 editions published between 1982 and 1983 in English and Undetermined and held by 300 WorldCat member libraries worldwide
In this book we study Markov random functions of several variables. What is traditionally meant by the Markov property for a random process (a random function of one time variable) is connected to the concept of the phase state of the process and refers to the independence of the behavior of the process in the future from its behavior in the past, given knowledge of its state at the present moment. Extension to a generalized random process immediately raises nontrivial questions about the definition of a suitable" phase state," so that given the state, future behavior does not depend on past behavior. Attempts to translate the Markov property to random functions of multidimensional "time," where the role of "past" and "future" are taken by arbitrary complementary regions in an appro priate multidimensional time domain have, until comparatively recently, been carried out only in the framework of isolated examples. How the Markov property should be formulated for generalized random functions of several variables is the principal question in this book. We think that it has been substantially answered by recent results establishing the Markov property for a whole collection of different classes of random functions. These results are interesting for their applications as well as for the theory. In establishing them, we found it useful to introduce a general probability model which we have called a random field. In this book we investigate random fields on continuous time domains. Contents CHAPTER 1 General Facts About Probability Distributions {sect}1
11 editions published between 1982 and 1983 in English and Undetermined and held by 300 WorldCat member libraries worldwide
In this book we study Markov random functions of several variables. What is traditionally meant by the Markov property for a random process (a random function of one time variable) is connected to the concept of the phase state of the process and refers to the independence of the behavior of the process in the future from its behavior in the past, given knowledge of its state at the present moment. Extension to a generalized random process immediately raises nontrivial questions about the definition of a suitable" phase state," so that given the state, future behavior does not depend on past behavior. Attempts to translate the Markov property to random functions of multidimensional "time," where the role of "past" and "future" are taken by arbitrary complementary regions in an appro priate multidimensional time domain have, until comparatively recently, been carried out only in the framework of isolated examples. How the Markov property should be formulated for generalized random functions of several variables is the principal question in this book. We think that it has been substantially answered by recent results establishing the Markov property for a whole collection of different classes of random functions. These results are interesting for their applications as well as for the theory. In establishing them, we found it useful to introduce a general probability model which we have called a random field. In this book we investigate random fields on continuous time domains. Contents CHAPTER 1 General Facts About Probability Distributions {sect}1
Innovation processes by
I︠U︡. A Rozanov(
Book
)
12 editions published between 1977 and 1986 in English and Undetermined and held by 286 WorldCat member libraries worldwide
12 editions published between 1977 and 1986 in English and Undetermined and held by 286 WorldCat member libraries worldwide
Introduction to Random Processes by
I︠U︡. A Rozanov(
Book
)
15 editions published between 1987 and 2012 in English and German and held by 278 WorldCat member libraries worldwide
Today, the theory of random processes represents a large field of mathematics with many different branches. This Introduction to the Theory of Random Processes applies mathematical models that are simple, but that have some importance for applications. The book starts with a treatment of homogeneous Markov processes with a countable number of states. The main topics are the ergodic theorem, the method of Kolmogorov's differential equations and Brownian motion, and the connecting link being the transition from Kolmogorov's differentialdifference equations for random walk to a limit diffusion equation. The chapters that follow outline the foundations of stochastic analysis. They deal with random processes as curves in the space of random variables with the norm of quadratic mean. Random processes are then described by linear stochastic differential equations and their convergence behaviour is explored. The fundamentals of spectral analysis of stationary processes are considered and, finally, some special problems of estimation and filtration are discussed. In chapter 6 an attempt is made to apply direct probabilistic methods for sums of i.i.d. variables to a multiserversystem. As a complement, chapters 9 to 11 deal with nonlinear stochastic differential equations for diffusion processes
15 editions published between 1987 and 2012 in English and German and held by 278 WorldCat member libraries worldwide
Today, the theory of random processes represents a large field of mathematics with many different branches. This Introduction to the Theory of Random Processes applies mathematical models that are simple, but that have some importance for applications. The book starts with a treatment of homogeneous Markov processes with a countable number of states. The main topics are the ergodic theorem, the method of Kolmogorov's differential equations and Brownian motion, and the connecting link being the transition from Kolmogorov's differentialdifference equations for random walk to a limit diffusion equation. The chapters that follow outline the foundations of stochastic analysis. They deal with random processes as curves in the space of random variables with the norm of quadratic mean. Random processes are then described by linear stochastic differential equations and their convergence behaviour is explored. The fundamentals of spectral analysis of stationary processes are considered and, finally, some special problems of estimation and filtration are discussed. In chapter 6 an attempt is made to apply direct probabilistic methods for sums of i.i.d. variables to a multiserversystem. As a complement, chapters 9 to 11 deal with nonlinear stochastic differential equations for diffusion processes
Infinitedimensional Gaussian distributions by
I︠U︡. A Rozanov(
Book
)
11 editions published between 1968 and 1977 in English and Russian and held by 244 WorldCat member libraries worldwide
11 editions published between 1968 and 1977 in English and Russian and held by 244 WorldCat member libraries worldwide
Probability theory, random processes, and mathematical statistics by
I︠U︡. A Rozanov(
Book
)
17 editions published between 1985 and 1995 in English and Russian and held by 158 WorldCat member libraries worldwide
The study of random phenomena encountered in the real world is based on probability theory, mathematical statistics and the theory of random processes. The choice of the most suitable mathematical model is made on the basis of statistical data collected by observations. These models provide numerous tools for the analysis, prediction, and, ultimately, control of random phenomena. The first part of the present volume (Chapters 13) can serve as a selfcontained, elementary introduction to probability, random processes and statistics. It contains a number of relatively simple and typical examples of random phenomena which allow a natural introduction of general structures and basic knowledge of elements of real/complex analysis, linear algebra and ordinary differential equations is required here
17 editions published between 1985 and 1995 in English and Russian and held by 158 WorldCat member libraries worldwide
The study of random phenomena encountered in the real world is based on probability theory, mathematical statistics and the theory of random processes. The choice of the most suitable mathematical model is made on the basis of statistical data collected by observations. These models provide numerous tools for the analysis, prediction, and, ultimately, control of random phenomena. The first part of the present volume (Chapters 13) can serve as a selfcontained, elementary introduction to probability, random processes and statistics. It contains a number of relatively simple and typical examples of random phenomena which allow a natural introduction of general structures and basic knowledge of elements of real/complex analysis, linear algebra and ordinary differential equations is required here
Random fields and stochastic partial differential equations by
I︠U︡. A Rozanov(
Book
)
10 editions published in 1998 in English and held by 151 WorldCat member libraries worldwide
10 editions published in 1998 in English and held by 151 WorldCat member libraries worldwide
Wahrscheinlichkeitstheorie by
I︠U︡. A Rozanov(
Book
)
11 editions published between 1970 and 1974 in German and held by 141 WorldCat member libraries worldwide
11 editions published between 1970 and 1974 in German and held by 141 WorldCat member libraries worldwide
Stochastische Prozesse : eine Einführung by
I︠U︡. A Rozanov(
Book
)
9 editions published in 1975 in German and held by 98 WorldCat member libraries worldwide
9 editions published in 1975 in German and held by 98 WorldCat member libraries worldwide
Teorii︠a︡ veroi︠a︡tnosteĭ : osnovnye poni︠a︡tii︠a︡ : predelʹnye teoremy : sluchaĭnye prot︠s︡essy by
I︠U︡. V Prokhorov(
Book
)
12 editions published between 1967 and 1987 in Russian and held by 81 WorldCat member libraries worldwide
12 editions published between 1967 and 1987 in Russian and held by 81 WorldCat member libraries worldwide
Gaussovskie sluchaĭnye prot︠s︡essy by
I. A Ibragimov(
Book
)
2 editions published in 1970 in Russian and held by 39 WorldCat member libraries worldwide
2 editions published in 1970 in Russian and held by 39 WorldCat member libraries worldwide
Power electronics basics : operating principles, design, formulas, and applications by
I︠U︡. A Rozanov(
Book
)
1 edition published in 2016 in English and held by 39 WorldCat member libraries worldwide
This book provides fundamental knowledge for the analysis and design of modern power electronic devices. This text: Explains the basic concepts and most important terms of power electronics ; Describes the power assemblies, control, and passive components of semiconductor power switches ; Covers the control of power electronic devices, from mathematical modeling to the analysis of the electrical processes ; Addresses pulsewidth modulation, power quality control, and multilevel, modular, and multicell power converter topologies ; Discusses linecommutated and resonant converters, as well as inverters and AC converters based on completely controllable switches ; Explores cuttingedge applications of power electronics, including renewable energy production and storage, fuel cells, and electric drives. This book supplies graduate students, industry professionals, researchers, and academics with a solid understanding of the underlying theory, while offering an overview of the latest achievements and development prospects in the power electronics industry
1 edition published in 2016 in English and held by 39 WorldCat member libraries worldwide
This book provides fundamental knowledge for the analysis and design of modern power electronic devices. This text: Explains the basic concepts and most important terms of power electronics ; Describes the power assemblies, control, and passive components of semiconductor power switches ; Covers the control of power electronic devices, from mathematical modeling to the analysis of the electrical processes ; Addresses pulsewidth modulation, power quality control, and multilevel, modular, and multicell power converter topologies ; Discusses linecommutated and resonant converters, as well as inverters and AC converters based on completely controllable switches ; Explores cuttingedge applications of power electronics, including renewable energy production and storage, fuel cells, and electric drives. This book supplies graduate students, industry professionals, researchers, and academics with a solid understanding of the underlying theory, while offering an overview of the latest achievements and development prospects in the power electronics industry
Stat︠s︡ionarnye sluchaĭnye prot︠s︡essy by
I︠U︡. A Rozanov(
Book
)
5 editions published between 1960 and 1990 in Russian and held by 32 WorldCat member libraries worldwide
5 editions published between 1960 and 1990 in Russian and held by 32 WorldCat member libraries worldwide
Lectures on the theory of probability by
I︠U︡. A Rozanov(
Book
)
10 editions published in 1972 in English and held by 30 WorldCat member libraries worldwide
Experiments with equiprobable outcomes. Probability and frequency. Combinatorial formulas. Stirling's formula; Combinations of events. The sample space; The probability addition rule; Relations among events. Conditional probabilities. Independent events. Amount of information; Fundamental propositions of probability theory. Random variables and probability distributions. Mathematical expectations
10 editions published in 1972 in English and held by 30 WorldCat member libraries worldwide
Experiments with equiprobable outcomes. Probability and frequency. Combinatorial formulas. Stirling's formula; Combinations of events. The sample space; The probability addition rule; Relations among events. Conditional probabilities. Independent events. Amount of information; Fundamental propositions of probability theory. Random variables and probability distributions. Mathematical expectations
Teorii︠a︡ obnovli︠a︡i︠u︡shchikh prot︠s︡essov by
I︠U︡. A Rozanov(
Book
)
2 editions published in 1974 in Russian and held by 24 WorldCat member libraries worldwide
2 editions published in 1974 in Russian and held by 24 WorldCat member libraries worldwide
Processus aléatoires by
I︠U︡. A Rozanov(
Book
)
1 edition published in 1975 in French and held by 24 WorldCat member libraries worldwide
1 edition published in 1975 in French and held by 24 WorldCat member libraries worldwide
Sluchaĭnye prot︠s︡essy : kratkiĭ kurs by
I︠U︡. A Rozanov(
Book
)
7 editions published between 1971 and 1979 in Russian and Undetermined and held by 21 WorldCat member libraries worldwide
7 editions published between 1971 and 1979 in Russian and Undetermined and held by 21 WorldCat member libraries worldwide
Random fields and stochastic partial differential equations by
I︠U︡. A Rozanov(
Book
)
4 editions published between 1991 and 1998 in English and held by 5 WorldCat member libraries worldwide
This book considers some models described by means of partial differential equations and boundary conditions with chaotic stochastic disturbance. In a framework of stochastic partial differential equations an approach is suggested to generalise solutions of stochastic boundary problems. The main topic concerns probabilistic aspects with applications to the most wellknown random fields models which are representative for the corresponding stochastic Sobolev spaces. This work assumes basic knowledge of general analysis and probability, such as Hilbert space methods, Schwartz distributions, and Fourier transforms. Audience: This volume will be of interest to researchers and postgraduate students whose work involves probability theory, stochastic processes and partial differential equations
4 editions published between 1991 and 1998 in English and held by 5 WorldCat member libraries worldwide
This book considers some models described by means of partial differential equations and boundary conditions with chaotic stochastic disturbance. In a framework of stochastic partial differential equations an approach is suggested to generalise solutions of stochastic boundary problems. The main topic concerns probabilistic aspects with applications to the most wellknown random fields models which are representative for the corresponding stochastic Sobolev spaces. This work assumes basic knowledge of general analysis and probability, such as Hilbert space methods, Schwartz distributions, and Fourier transforms. Audience: This volume will be of interest to researchers and postgraduate students whose work involves probability theory, stochastic processes and partial differential equations
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Related Identities
 Silverman, Richard A. Translator Editor
 Prokhorov, I︠U︡. V. (I︠U︡riĭ Vasilʹevich) Author
 Ibragimov, I. A. (Ilʹdar Abdulovich) Author
 Urmitzer, H.
 Krickeberg, Klaus (1929 ...).
 Feinstein, Amiel Translator
 Voronin, Pavel
 Chaplygin, E. E. (Evgeniĭ Evgenʹevich)
 Ryvkin, Sergey
 Aries, A. B. Translator
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Associated Subjects
Differential equations Differential equations, Partial Distribution (Probability theory) Functional analysis Gaussian distribution Gaussian processes Limit theorems (Probability theory) Markov processes Markov random fields Mathematical statistics Mathematics Power electronics Power electronicsDesign and construction Probabilities Random fields Stationary processes Statistics Stochastic partial differential equations Stochastic processes Vector fields
Alternative Names
Rosanov, Yu. A. 1934
Rosanow J. A.
Rosanow, J.A. 1934
Rosanow, Yurii A. 1934
Rozanov Iouri Anatolievitch 1934....
Rozanov, I͡U. A. 1934
Rozanov Iuriĭ Anatolʹevich
Rozanov, I︠u︡riĭ Anatolʹevich 1934
Rozanov, J. A.
Rozanov Ju. A.
Rozanov, Ju. A. 1934
Rozanov, Jurii Anatol'evich 1934
Rozanov, Jurij Anatol'evič.
Rozanov, Jurij Anatolʹevič 1934
Rozanov, Jurij Anatol'evič. [t]
Rozanov, Û.
Rozanov, Û. A.
Rozanov, Ûrij.
Rozanov, Y.
Rozanov, Y. A.
Rozanov, Y. A. 1934
Rozanov Yu. A.
Rozanov, Yu.A. 1934
Rozanov, Yuri 1934
Rozanov, Yuri A.
Rozanov, Yuri A. 1934
Rozanov, Yuriǐ A.
Rozanov, Yuriǐ A. 1934
Rozanov, Yuriy A.
Rozanov, Yuriy A. 1934
Rozanow, J.
Rozanow, J. A.
Yuri Anatolievich Rosanov Russian mathematician
Yuri Anatolievich Rosanov Russisch wiskundige
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