An Introduction to Probability and Stochastic Processes

Language: English

Published by Springer, Copernicus Sep 2011, 2011

1461276438 / 9781461276432

Series: Book 108 of 111 - Springer Texts in Statistics

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This item is printed on demand - Print on Demand Titel. Neuware -These notes were written as a result of my having taught a 'nonmeasure theoretic' course in probability and stochastic processes a few times at the Weizmann Institute in Israel. I have tried to follow two principles. The first is to prove things 'probabilistically' whenever possible without recourse to other branches of mathematics and in a notation that is as 'probabilistic' as possible. Thus, for example, the asymptotics of pn for large n, where P is a stochastic matrix, is developed in Section V by using passage probabilities and hitting times rather than, say, pulling in Perron Frobenius theory or spectral analysis. Similarly in Section II the joint normal distribution is studied through conditional expectation rather than quadratic forms. The second principle I have tried to follow is to only prove results in their simple forms and to try to eliminate any minor technical com putations from proofs, so as to expose the most important steps. Steps in proofs or derivations that involve algebra or basic calculus are not shown; only steps involving, say, the use of independence or a dominated convergence argument or an assumptjon in a theorem are displayed. For example, in proving inversion formulas for characteristic functions I omit steps involving evaluation of basic trigonometric integrals and display details only where use is made of Fubini's Theorem or the Dominated Convergence Theorem.Springer-Verlag KG, Sachsenplatz 4-6, 1201 Wien 236 pp. Englisch.…

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Title
An Introduction to Probability and Stochastic Processes
Author
Marc A. Berger
Publisher
Springer, Copernicus Sep 2011
Publication year
2011
Condition
Neu
Binding
Taschenbuch
Language
English
ISBN 10
1461276438
ISBN 13
9781461276432
Item weight
365 grams
Dimensions
235x155x13 mm
Series
Book 108 of 111: Springer Texts in Statistics

buchversandmimpf2000

Emtmannsberg, BAYE, Germany

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