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Markov Chains with Stationary Transition Probabilities, Kai Lai Chung; R. Grammel; F. Hirzebruch; E. Hopf;


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Автор: Kai Lai Chung; R. Grammel; F. Hirzebruch; E. Hopf;
Название:  Markov Chains with Stationary Transition Probabilities
ISBN: 9783642494086
Издательство: Springer
Классификация: ISBN-10: 3642494080
Обложка/Формат: Paperback
Страницы: 278
Вес: 0.41 кг.
Дата издания: 01.01.1960
Серия: Grundlehren der mathematischen Wissenschaften
Язык: English
Размер: 234 x 156 x 16
Основная тема: Mathematics
Ссылка на Издательство: Link
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Поставляется из: Германии
Описание: The theory of Markov chains, although a special case of Markov processes, is here developed for its own sake and presented on its own merits. In general, the hypothesis of a denumerable state space, which is the defining hypothesis of what we call a chain here, generates more clear-cut questions and demands more precise and definitive an- swers. For example, the principal limit theorem ( 1. 6, II. 10), still the object of research for general Markov processes, is here in its neat final form; and the strong Markov property ( 11. 9) is here always applicable. While probability theory has advanced far enough that a degree of sophistication is needed even in the limited context of this book, it is still possible here to keep the proportion of definitions to theorems relatively low. . From the standpoint of the general theory of stochastic processes, a continuous parameter Markov chain appears to be the first essentially discontinuous process that has been studied in some detail. It is common that the sample functions of such a chain have discontinuities worse than jumps, and these baser discontinuities play a central role in the theory, of which the mystery remains to be completely unraveled. In this connection the basic concepts of separability and measurability, which are usually applied only at an early stage of the discussion to establish a certain smoothness of the sample functions, are here applied constantly as indispensable tools.


Probabilities and Materials

Автор: D. Breysse
Название: Probabilities and Materials
ISBN: 9401045003 ISBN-13(EAN): 9789401045001
Издательство: Springer
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Описание: Proceedings of the NATO Advanced Research Workshop on `PROBAMAT: Probabilities and Materials: Tests, Models and Applications`, Cachan, France, November 23--25, 1993

Ruin Probabilities (2Nd Edition)

Автор: Asmussen Soren Et Al
Название: Ruin Probabilities (2Nd Edition)
ISBN: 9813203617 ISBN-13(EAN): 9789813203617
Издательство: World Scientific Publishing
Цена: 12989.00 р.
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Описание:

The book gives a comprehensive treatment of the classical and modern ruin probability theory. Some of the topics are Lundberg's inequality, the CramEr-Lundberg approximation, exact solutions, other approximations (e.g., for heavy-tailed claim size distributions), finite horizon ruin probabilities, extensions of the classical compound Poisson model to allow for reserve-dependent premiums, Markov-modulation, periodicity, change of measure techniques, phase-type distributions as a computational vehicle and the connection to other applied probability areas, like queueing theory. In this substantially updated and extended second version, new topics include stochastic control, fluctuation theory for Levy processes, Gerber-Shiu functions and dependence.

Palm Probabilities and Stationary Queues

Автор: Francois Baccelli; Pierre Bremaud
Название: Palm Probabilities and Stationary Queues
ISBN: 0387965149 ISBN-13(EAN): 9780387965147
Издательство: Springer
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Analysis and Design of Markov Jump Systems with Complex Transition Probabilities

Автор: Lixian Zhang; Ting Yang; Peng Shi; Yanzheng Zhu
Название: Analysis and Design of Markov Jump Systems with Complex Transition Probabilities
ISBN: 3319288466 ISBN-13(EAN): 9783319288468
Издательство: Springer
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Описание: The book addresses the control issues such as stability analysis, control synthesis and filter design of Markov jump systems with the above three types of TPs, and thus is mainly divided into three parts.

Ruin Probabilities

Автор: Asmussen SA ren
Название: Ruin Probabilities
ISBN: 9814282529 ISBN-13(EAN): 9789814282529
Издательство: World Scientific Publishing
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Цена: 30888.00 р.
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Описание: Offers a comprehensive treatment of the classical and modern ruin probability theory. This title includes topics such as: Lundberg`s inequality, the Cramer-Lundberg approximation, exact solutions, other approximations, finite horizon ruin probabilities, and extensions of the classical compound Poisson model to allow for reserve-dependent premiums.

Markov Chains and Invariant Probabilities

Автор: On?simo Hern?ndez-Lerma; Jean B. Lasserre
Название: Markov Chains and Invariant Probabilities
ISBN: 3034894082 ISBN-13(EAN): 9783034894081
Издательство: Springer
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Описание: = {~k` k = 0, 1, ... } with transition probability function (t.pJ.) P(x, B), i.e., P(x, B) := Prob (~k+1 E B I ~k = x) for each x E X, B E B, and k = 0,1, .... is said to be stable if there exists a probability measure (p.m.) /.l on B such that (*) VB EB. /.l(B) = Ix /.l(dx) P(x, B) If (*) holds then /.l is called an invariant p.m. for the Me ~.

Invariant Probabilities of Transition Functions

Автор: Radu Zaharopol
Название: Invariant Probabilities of Transition Functions
ISBN: 3319057227 ISBN-13(EAN): 9783319057224
Издательство: Springer
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Описание: The structure of the set of all the invariant probabilities and the structure of various types of individual invariant probabilities of a transition function are two topics of significant interest in the theory of transition functions, and are studied in this book.

Fuzzy Probabilities and Fuzzy Sets for Web Planning

Автор: James J. Buckley
Название: Fuzzy Probabilities and Fuzzy Sets for Web Planning
ISBN: 3642055966 ISBN-13(EAN): 9783642055966
Издательство: Springer
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Цена: 18167.00 р.
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Описание: We switch to employ- ing fuzzy arrival rates and fuzzy service rates to model the fuzzy queuing system in part three in Chapters 11 and 12. Two other items relating to fuzzy sets, needed in Chapters 13-17, are also in Chapter 2: (1) how we plan to handle the maximum/minimum of a fuzzy set;

PROBAMAT-21st Century: Probabilities and Materials

Автор: G.N. Frantziskonis
Название: PROBAMAT-21st Century: Probabilities and Materials
ISBN: 9401061963 ISBN-13(EAN): 9789401061964
Издательство: Springer
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Цена: 12157.00 р.
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Описание: Proceedings of the NATO Advanced Research Workshop, Perm, Russia, September 10-12, 1997

Fuzzy Probabilities

Автор: James J. Buckley
Название: Fuzzy Probabilities
ISBN: 364286788X ISBN-13(EAN): 9783642867880
Издательство: Springer
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Описание: In probability and statistics we often have to estimate probabilities and parameters in probability distributions using a random sample. Fuzzy random variables have fuzzy distributions. A fuzzy normal random variable has the normal distribution with fuzzy number mean and variance.

Sampling With Unequal Probabilities

Автор: K. R. W. Brewer; M. Hanif
Название: Sampling With Unequal Probabilities
ISBN: 0387908072 ISBN-13(EAN): 9780387908076
Издательство: Springer
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Описание: Work for this mono graph on sampling wi th unequal probabili ties was started when Muhammad Hanif was a visitor to the then Commonwealth Bureau of Census and Statistics, Canberra, in 1969. It remained in abeyance until he again visi ted Canberra, this time the Australian National University's Survey Research Centre in 1978 as Visiting Fellow. The work was substantially completed when K.R.W. Brewer visited EI-Fateh University during January 1980 as Visiting Professor. Finally, in 1982 the Bibliography was revised and corrected, and a number of references added which da not appeal" in the text. These are indicated by an asterisk (:, q. The authors are indebted to Mr. E.K. foreman and the sampling staff (past and present) at the Australian Bureau of Statistics for their help and encouragement and t t-lrs Bar: ='ara Geary f r her excellent mathematical typing. Canberra K.R.W. Brewer May 1982. Muhammad Hanif vii CONTENTS CHAPTER 1: ..1;1 r:17 ODUCTION TO SAMPLING WITH UNEQUAL PP.OBABILITIES 1.... Sam.::: Basic Concepts j"otation and Abbreviations 4 1.

Probabilities on the Heisenberg Group

Автор: Daniel Neuenschwander
Название: Probabilities on the Heisenberg Group
ISBN: 3540614532 ISBN-13(EAN): 9783540614531
Издательство: Springer
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Описание: Intended for probabilists and analysts interested in Lie groups, this text surveys probabilistic results on the Heisenberg group. It focuses on limit theorems and their relation to Brownian motion, Fourier analysis, and functional analysis.


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