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Stochastic Processes (Wiley Classics Library)
 
 
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Stochastic Processes (Wiley Classics Library) [Paperback]

J. L. Doob (Author)

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Book Description

0471523690 978-0471523697 January 25, 1990
The theory of stochastic processes has developed so much in the last twenty years that the need for a systematic account of the subject has been felt, particularly by students and instructors of probability. This book fills that need. While even elementary definitions and theorems are stated in detail, this is not recommended as a first text in probability and there has been no compromise with the mathematics of probability. Since readers complained that omission of certain mathematical detail increased the obscurity of the subject, the text contains various mathematical points that might otherwise seem extraneous. A supplement includes a treatment of the various aspects of measure theory. A chapter on the specialized problem of prediction theory has also been included and references to the literature and historical remarks have been collected in the Appendix.

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Editorial Reviews

From the Publisher

The theory of stochastic processes has developed so much in the last twenty years that the need for a systematic account of the subject has been felt, particularly by students and instructors of probability. This book fills that need. While even elementary definitions and theorems are stated in detail, this is not recommended as a first text in probability and there has been no compromise with the mathematics of probability. Since readers complained that omission of certain mathematical detail increased the obscurity of the subject, the text contains various mathematical points that might otherwise seem extraneous. A supplement includes a treatment of the various aspects of measure theory. A chapter on the specialized problem of prediction theory has also been included and references to the literature and historical remarks have been collected in the Appendix.

From the Back Cover

The Wiley Classics Library consists of selected books originally published by John Wiley & Sons that have become recognized classics in their respective fields. With these new unabridged and inexpensive editions, Wiley hopes to extend the life of these important works by making them available to future generations of mathematicians and scientists. Currently available in the Series: Emil Artin Geometric Algebra Norman T. J. Bailey The Elements of Stochastic Processes With Applications to the Natural Sciences R. W. Carter Simple Groups of Lie Type Richard Courant Differential and Integral Calculus. Volume I Richard Courant Differential and Integral Calculus, Volume II Richard Courant & D. Hilbert Methods of Mathematical Physics, Volume I Richard Courant & D. Hilbert Methods of Mathematical Physics, Volume II Harold S.M. Coxeter Introduction to Modern Geometry, Second Edition Charles W. Curtis & Irving Reiner Representation Theory of Finite Groups and Associative Algebras Charles W. Curtis & Irving Reiner Methods of Representation Theory With Applications to Finite Groups and Orders, Volume 1 W. Edwards Darning Sample Design in Business Research Amos deShalit & Herman Feshbach Theoretical Nuclear Physics, Volume I-Nuclear Structure J. L. Doob Stochastic Processes Nelson Dunford, Jacob T. Schwartz Linear Operators, Part One, General Theory Nelson Dunford, Jacob T. Schwartz Linear Operators, Part Two, Spectral Theory - Self Adjoint Operators in Hilbert Space Nelson Dunford, Jacob T. Schwartz Linear Operators, Part Three, Spectral Operators Peter Henrici Applied and Computational Complex Analysis, Volume I - Power Series-Integration-Conformal Mapping-Location of Zeros Peter Hilton, Yel-Chiang Wu A Course in Modern Algebra Harry Hochstadt Integral Equations Erwin Kreyszig Introductory Functional Analysis with Applications William H. Louisell Quantum Statistical Properties of Radiation P. M. Prenter Splines and Variational Methods Walter Rudin Fourier Analysis on Groups C. L. Siegel Topics in Complex Function Theory Volume I - Elliptic Functions and Uniformization Theory C. L. Siegel Topics in Complex Function Theory Volume II - Automorphic and Abelian Integrals C. L. Siegel Topics in Complex Function Theory, Volume III - Abelian Functions & Modular Functions of Several Variables J. J. Stoker Differential Geometry

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Inside This Book (learn more)
First Sentence:
Although advanced mathematical methods are used in this book, the results will always be stated in probability language, and it is hoped that the book will be accessible to readers thoroughly familiar with the manipulation of random variables conditional probability distributions and conditional expectations. Read the first page
Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
wide sense version, strict sense version, stochastic transition function, absolute probability distribution, cyclically moving classes, cyclically moving subclasses, function space type, separability relative, continuous parameter version, whose random variables, parameter set version, discrete parameter case, function measurable with respect, strictly stationary stochastic process, continuous parameter case, invariant random variables, closed linear manifold, process with orthogonal increments, absolutely continuous spectral distribution, separable martingale, orthogonal random variables, transition matrix function, transition function satisfying, one ergodic class, process sample functions
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