Boris Gnedenko's Books

Theory of Probability

By: Boris V. Gnedenko

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This book is the sixth edition of a classic text that was first published in 1950 in the former Soviet Union. The clear presentation of the subject and extensive applications supported with real data helped establish the book as a standard for the field. To date, it has been published into more that ten languages and has gone through five editions. The sixth edition is a major revision over the fifth. It contains new material and results on the Local Limit Theorem, the Integral Law of Large Numbers, and Characteristic Functions. The new edition retains the feature of developing the subject from intuitive concepts and demonstrating techniques and theory through large numbers of examples. The author has, for the first time, included a brief history of probability and its development. Exercise problems and examples have been revised and new ones added.

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Page Count

520

Publisher

Routledge

Published Date

ISBN 10

1351408593

ISBN 13

9781351408592

Random Summation

Limit Theorems and Applications

By: Boris V. Gnedenko,Victor Yu. Korolev

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Random Summation

Limit Theorems and Applications

By: Boris V. Gnedenko,Victor Yu. Korolev

This book provides an introduction to the asymptotic theory of random summation, combining a strict exposition of the foundations of this theory and recent results. It also includes a description of its applications to solving practical problems in hardware and software reliability, insurance, finance, and more. The authors show how practice interacts with theory, and how new mathematical formulations of problems appear and develop. Attention is mainly focused on transfer theorems, description of the classes of limit laws, and criteria for convergence of distributions of sums for a random number of random variables. Theoretical background is given for the choice of approximations for the distribution of stock prices or surplus processes. General mathematical theory of reliability growth of modified systems, including software, is presented. Special sections deal with doubling with repair, rarefaction of renewal processes, limit theorems for supercritical Galton-Watson processes, information properties of probability distributions, and asymptotic behavior of doubly stochastic Poisson processes. Random Summation: Limit Theorems and Applications will be of use to specialists and students in probability theory, mathematical statistics, and stochastic processes, as well as to financial mathematicians, actuaries, and to engineers desiring to improve probability models for solving practical problems and for finding new approaches to the construction of mathematical models.

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Page Count

282

Publisher

CRC Press

Published Date

ISBN 10

1000141179

ISBN 13

9781000141177

The Theory of Probability and the Elements of Statistics

By: Boris Vladimirovich Gnedenko

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The Theory of Probability and the Elements of Statistics

By: Boris Vladimirovich Gnedenko

Presents an introduction to probability and statistics. This book covers topics that include the axiomatic setup of probability theory, polynomial distribution, finite Markov chains, distribution functions and convolution, the laws of large numbers (weak and strong), characteristic functions, the central limit theorem, and Markov processes.

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Page Count

540

Publisher

American Mathematical Soc.

Published Date

ISBN 10

082183746X

ISBN 13

9780821837467

Statistical Reliability Engineering

By: Boris Gnedenko,Igor V. Pavlov,Igor A. Ushakov

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Statistical Reliability Engineering

By: Boris Gnedenko,Igor V. Pavlov,Igor A. Ushakov

Die Zuverlassigkeitsanalyse soll absichern, da? alle Komponenten eines Systems oder Produkts die Anforderungen an Funktionstuchtigkeit, -umfang und Budget erfullen. Alle wichtigen mathematischen Methoden, die in diesem Zusammenhang verwendet werden, stellt in diesem Buch einer der fuhrenden Spezialisten dieses Gebietes vor. Mit vielen realitatsnahen Beispielen und Fallstudien. (05/99)

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Page Count

524

Publisher

John Wiley & Sons

Published Date

ISBN 10

0471123560

ISBN 13

9780471123569

The ideological foundations of technological singularity

By: Boris Shulitski

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The ideological foundations of technological singularity

By: Boris Shulitski

On the basis of the dialectical methodology, the philosophical foundations of technological singularity and trans-posthumanism (for the first time in world practice) are considered. The book provides examples of specific application areas of dialectical methodology viewed as a matrix for scientific research in the sphere of innovative technologies.Scientific edition. This book is intended for a wide audience.

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Page Count

193

Publisher

Litres

Published Date

ISBN 10

5041565414

ISBN 13

9785041565411

Radiation-Induced Processes of Adaptation

Research by statistical modelling

By: Victoria L. Korogodina,Boris Florko,Ludmila P. Osipova

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Radiation-Induced Processes of Adaptation

Research by statistical modelling

By: Victoria L. Korogodina,Boris Florko,Ludmila P. Osipova

In recent decades radiobiologists’ efforts have been directed at identifying the mechanisms of radiation effects; the general mechanisms have since been studied extensively. This book describes and analyzes radiation-induced adaptation as processes produced in cells, tissues, and populations. This viewpoint helps to understand the nature and factors of induced processes, to determine the characteristics of observed radiation effects and their limitations. The investigations presented here were founded on proper lab experiments, ecological studies of plant population growth near an operating nuclear power plant and a thorough epidemiological examination of human populations living in territories polluted fifty years ago, as well as on relevant published data. This research demonstrates the radiation-induced adaptation processes that continue even when the radiation itself is no longer at a critical background level. The investigations utilized the method of statistical modeling on the basis of distributions on the number of abnormalities. This method allows us to investigate the processes induced by low-dose factors when accompanied by Darwinian selection in different systems; the distribution parameters can then be used to study the characteristics of adaptation processes and system resistance. The consequences of background-level radiation continue to provoke debate, and the mathematical bases of the adaptation model are shown, while due consideration is paid to the components of adaptation: instability, selection, and proliferation. The book will be especially useful to specialists in radiation pollution, ecology, epidemiology, and radiology for studies of radiation-induced processes; the method presented here can also be adapted to investigate low-dose effects in other fields. In addition, the book presents a number of reviews in the fields of radiation biology, including pioneering investigations in Russia which were previously unavailable to Western scientists.

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Page Count

199

Publisher

Springer Science & Business Media

Published Date

ISBN 10

9400766300

ISBN 13

9789400766303

Plasma Astrophysics, Part I

Fundamentals and Practice

By: Boris V. Somov

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Plasma Astrophysics, Part I

Fundamentals and Practice

By: Boris V. Somov

This two-part book is devoted to classic fundamentals and current practices and perspectives of modern plasma astrophysics. This first part uniquely covers all the basic principles and practical tools required for understanding and work in plasma astrophysics. More than 25% of the text is updated from the first edition, including new figures, equations and entire sections on topics such as magnetic reconnection and the Grad-Shafranov equation. The book is aimed at professional researchers in astrophysics, but it will also be useful to graduate students in space sciences, geophysics, applied physics and mathematics, especially those seeking a unified view of plasma physics and fluid mechanics.

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Page Count

512

Publisher

Springer Science & Business Media

Published Date

ISBN 10

1461442834

ISBN 13

9781461442837

Extracting Knowledge From Time Series

An Introduction to Nonlinear Empirical Modeling

By: Boris P. Bezruchko,Dmitry A. Smirnov

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Extracting Knowledge From Time Series

An Introduction to Nonlinear Empirical Modeling

By: Boris P. Bezruchko,Dmitry A. Smirnov

Mathematical modelling is ubiquitous. Almost every book in exact science touches on mathematical models of a certain class of phenomena, on more or less speci?c approaches to construction and investigation of models, on their applications, etc. As many textbooks with similar titles, Part I of our book is devoted to general qu- tions of modelling. Part II re?ects our professional interests as physicists who spent much time to investigations in the ?eld of non-linear dynamics and mathematical modelling from discrete sequences of experimental measurements (time series). The latter direction of research is known for a long time as “system identi?cation” in the framework of mathematical statistics and automatic control theory. It has its roots in the problem of approximating experimental data points on a plane with a smooth curve. Currently, researchers aim at the description of complex behaviour (irregular, chaotic, non-stationary and noise-corrupted signals which are typical of real-world objects and phenomena) with relatively simple non-linear differential or difference model equations rather than with cumbersome explicit functions of time. In the second half of the twentieth century, it has become clear that such equations of a s- ?ciently low order can exhibit non-trivial solutions that promise suf?ciently simple modelling of complex processes; according to the concepts of non-linear dynamics, chaotic regimes can be demonstrated already by a third-order non-linear ordinary differential equation, while complex behaviour in a linear model can be induced either by random in?uence (noise) or by a very high order of equations.

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Page Count

416

Publisher

Springer Science & Business Media

Published Date

ISBN 10

3642126014

ISBN 13

9783642126017

Theory of Probability

By: Boris V. Gnedenko

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Theory of Probability

By: Boris V. Gnedenko

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524

Publisher

Routledge

Published Date

ISBN 10

1351408585

ISBN 13

9781351408585

An Elementary Introduction to the Theory of Probability

By: Boris Vladimirovich Gnedenko,Aleksandr I?Akovlevich Khinchin

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An Elementary Introduction to the Theory of Probability

By: Boris Vladimirovich Gnedenko,Aleksandr I?Akovlevich Khinchin

This compact volume equips the reader with all the facts and principles essential to a fundamental understanding of the theory of probability. It is an introduction, no more: throughout the book the authors discuss the theory of probability for situations having only a finite number of possibilities, and the mathematics employed is held to the elementary level. But within its purposely restricted range it is extremely thorough, well organized, and absolutely authoritative. It is the only English translation of the latest revised Russian edition; and it is the only current translation on the market that has been checked and approved by Gnedenko himself. After explaining in simple terms the meaning of the concept of probability and the means by which an event is declared to be in practice, impossible, the authors take up the processes involved in the calculation of probabilities. They survey the rules for addition and multiplication of probabilities, the concept of conditional probability, the formula for total probability, Bayes's formula, Bernoulli's scheme and theorem, the concepts of random variables, insufficiency of the mean value for the characterization of a random variable, methods of measuring the variance of a random variable, theorems on the standard deviation, the Chebyshev inequality, normal laws of distribution, distribution curves, properties of normal distribution curves, and related topics. The book is unique in that, while there are several high school and college textbooks available on this subject, there is no other popular treatment for the layman that contains quite the same material presented with the same degree of clarity and authenticity. Anyone who desires a fundamental grasp of this increasingly important subject cannot do better than to start with this book. New preface for Dover edition by B. V. Gnedenko.

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Page Count

162

Publisher

Courier Corporation

Published Date

ISBN 10

0486601552

ISBN 13

9780486601557

Random Summation

Limit Theorems and Applications

By: Boris V. Gnedenko,Victor Yu. Korolev

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Random Summation

Limit Theorems and Applications

By: Boris V. Gnedenko,Victor Yu. Korolev

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Page Count

280

Publisher

CRC Press

Published Date

ISBN 10

100010267X

ISBN 13

9781000102673

Probabilistic Reliability Engineering

By: Boris Gnedenko,Igor A. Ushakov

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Probabilistic Reliability Engineering

By: Boris Gnedenko,Igor A. Ushakov

With the growing complexity of engineered systems, reliability hasincreased in importance throughout the twentieth century. Initiallydeveloped to meet practical needs, reliability theory has become anapplied mathematical discipline that permits a priori evaluationsof various reliability indices at the design stages. Theseevaluations help engineers choose an optimal system structure,improve methods of maintenance, and estimate the reliability on thebasis of special testing. Probabilistic Reliability Engineeringfocuses on the creation of mathematical models for solving problemsof system design. Broad and authoritative in its content, Probabilistic ReliabilityEngineering covers all mathematical models associated withprobabilistic methods of reliability analysis, including--unique tothis book--maintenance and cost analysis, as well as many newresults of probabilistic testing. To provide readers with all necessary background material, thistext incorporates a thorough review of the fundamentals ofprobability theory and the theory of stochastic processes. Itoffers clear and detailed treatment of reliability indices, thestructure function, load-strength reliability models, distributionswith monotone intensity functions, repairable systems, the Markovmodels, analysis of performance effectiveness, two-pole networks,optimal redundancy, optimal technical diagnosis, and heuristicmethods in reliability. Throughout the text, an abundance of realworld examples and case studies illustrate and illuminate thetheoretical points under consideration. For engineers in design, operations research, and maintenance, aswell as cost analysts and R&D managers, ProbabilisticReliability Engineering offers the most lucid, comprehensivetreatment of the subject available anywhere. About the editor JAMES A. FALK is Professor and Chairman of the Department ofOperations Research at George Washington University. In addition tohis numerous publications, Dr. Falk has lectured internationally asa Fulbright Lecturer. Of related interest... The reliability-testing "bible" for three generations of EasternEuropean scientists, adapted for Western scientists andengineers... HANDBOOK OF RELIABILITY ENGINEERING Originally published in the USSR, Handbook of ReliabilityEngineering set the standard for the reliability testing oftechnical systems for nearly three generations of appliedscientists and engineers. Authored by a group of prominent Sovietspecialists in reliability, it provides professionals and studentswith a comprehensive reference covering mathematical formulas andtechniques for incorporating reliability into engineering designsand testing procedures. Divided into twenty-four self-containedchapters, the Handbook details reliability fundamentals, examinescommon reliability problems and solutions, provides a collection ofcomputation formulas, and illustrates practical applications. The Handbook's Russian editor and internationally recognized expertIgor A. Ushakov has joined with American engineering professionalsto bring this indispensable resource to English-speaking engineersand scientists. 1994 (0-471-57173-3) 663 pp.

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Page Count

546

Publisher

John Wiley & Sons

Published Date

ISBN 10

0471305022

ISBN 13

9780471305026

Statistical Reliability Engineering

By: Boris Gnedenko,Igor V. Pavlov,Igor A. Ushakov

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Statistical Reliability Engineering

By: Boris Gnedenko,Igor V. Pavlov,Igor A. Ushakov

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Page Count

524

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John Wiley & Sons

Published Date

ISBN 10

0471123560

ISBN 13

9780471123569

Book's by Boris Gnedenko

Theory of Probability

Theory of Probability

Random Summation

Random Summation

The Theory of Probability and the Elements of Statistics

The Theory of Probability and the Elements of Statistics

Statistical Reliability Engineering

Statistical Reliability Engineering

The ideological foundations of technological singularity

The ideological foundations of technological singularity

Radiation-Induced Processes of Adaptation

Radiation-Induced Processes of Adaptation

Plasma Astrophysics, Part I

Plasma Astrophysics, Part I

Extracting Knowledge From Time Series

Extracting Knowledge From Time Series

Theory of Probability

Theory of Probability

An Elementary Introduction to the Theory of Probability

An Elementary Introduction to the Theory of Probability

Random Summation

Random Summation

Probabilistic Reliability Engineering

Probabilistic Reliability Engineering

Statistical Reliability Engineering

Statistical Reliability Engineering

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