Theory of Probability and Random Processes

A one-year course in probability theory and the theory of random processes, taught at Princeton University to undergraduate and graduate students, forms the core of the content of this book It is structured in two parts: the first part providing a detailed discussion of Lebesgue integration, Markov...

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Hauptverfasser: Koralov, Leonid B., Sinaj, Âkov Grigor½evič, 1935- (VerfasserIn)
Format: Livre numérique
Sprache:Anglais
Veröffentlicht: Berlin, Heidelberg : Springer Berlin Heidelberg [20..].
Cham : Springer Nature
Ausgabe:2nd ed. 2007.
Schriftenreihe:Universitext
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Anmerkung: L'impression du document génère 348 p.
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Version électronique de la seconde édition datant de 2007
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Edition sous un autre format:• Theory of probability and random processes, Leonid B. Koralov, Yakov G. Sinai, 2nd edition, 2007, Berlin, Springer, 1 vol. (XI-351 p.), Universitext, 978-3-540-25484-3
• Theory of Probability and Random Processes, Texte imprimé, 9783540809661
Beschreibung
Zusammenfassung:A one-year course in probability theory and the theory of random processes, taught at Princeton University to undergraduate and graduate students, forms the core of the content of this book It is structured in two parts: the first part providing a detailed discussion of Lebesgue integration, Markov chains, random walks, laws of large numbers, limit theorems, and their relation to Renormalization Group theory. The second part includes the theory of stationary random processes, martingales, generalized random processes, Brownian motion, stochastic integrals, and stochastic differential equations. One section is devoted to the theory of Gibbs random fields. This material is essential to many undergraduate and graduate courses. The book can also serve as a reference for scientists using modern probability theory in their research
Beschreibung:L'impression du document génère 348 p.
Archives Springer e-books (Licence nationale)
Archives Springer e-books (Licence nationale)
Version électronique de la seconde édition datant de 2007
Bibliographie:Index
ISBN:9783540688297
ISSN:2191-6675
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