Introduction to Stochastic Processes

Lingua: inglese

Editore: WSPC/HEP, 2021

9814740306 / 9789814740302

Serie: Libro 2 di 4 - World Scientific Series on Probability Theory and Its Applications

Da: Buchpark, Trebbin, GermaniaBuchpark

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Zustand: Sehr gut | Sprache: Englisch | Produktart: Bücher | The objective of this book is to introduce the elements of stochastic processes in a rather concise manner where we present the two most important parts - Markov chains and stochastic analysis. The readers are led directly to the core of the main topics to be treated in the context. Further details and additional materials are left to a section containing abundant exercises for further reading and studying.In the part on Markov chains, the focus is on the ergodicity. By using the minimal nonnegative solution method, we deal with the recurrence and various types of ergodicity. This is done step by step, from finite state spaces to denumerable state spaces, and from discrete time to continuous time. The methods of proofs adopt modern techniques, such as coupling and duality methods. Some very new results are included, such as the estimate of the spectral gap. The structure and proofs in the first part are rather different from other existing textbooks on Markov chains.In the part on stochastic analysis, we cover the martingale theory and Brownian motions, the stochastic integral and stochastic differential equations with emphasis on one dimension, and the multidimensional stochastic integral and stochastic equation based on semimartingales. We introduce three important topics here: the Feynman-Kac formula, random time transform and Girsanov transform. As an essential application of the probability theory in classical mathematics, we also deal with the famous Brunn-Minkowski inequality in convex geometry.This book also features modern probability theory that is used in different fields, such as MCMC, or even deterministic areas: convex geometry and number theory. It provides a new and direct routine for students going through the classical Markov chains to the modern stochastic analysis.…

Codice articolo 26508007/2

Titolo
Introduction to Stochastic Processes
Autore
Mu-Fa Chen, Yong-Hua Mao
Editore
WSPC/HEP
Anno di pubblicazione
2021
Condizione
Sehr gut
Rilegatura
Rilegato
Lingua
inglese
ISBN 10
9814740306
ISBN 13
9789814740302
Serie
Libro 2 di 4: World Scientific Series on Probability Theory and Its Applications
Cataloghi dei venditori
Bücher

Buchpark

Trebbin, Germania

Venditore con 5 stelle

Venditore AbeBooks dal 30 settembre 2021

Tariffe di spedizione da Germania a U.S.A.

ArticoloDa 60 a 60 giorni lavorativiDa 60 a 60 giorni lavorativi
Primo articoloEUR 105,00EUR 130,00
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