Stochastic Processes (Probability and Its Applications) - Softcover

Borodin, Andrei N

 
9783319872872: Stochastic Processes (Probability and Its Applications)

Inhaltsangabe

Gives a rigorous yet understandable presentation of the theory of stochastic processes

Presents the theory of distributions of functionals of diffusions including local times, rarely found in literature

Devotes serious attention to the Brownian local time

Includes many examples and exercises 

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Von der hinteren Coverseite

This book provides a rigorous yet accessible introduction to the theory of stochastic processes. A significant part of the book is devoted to the classic theory of stochastic processes. In turn, it also presents proofs of well-known results, sometimes together with new approaches. Moreover, the book explores topics not previously covered elsewhere, such as distributions of functionals of diffusions stopped at different random times, the Brownian local time, diffusions with jumps, and an invariance principle for random walks and local times.

Supported by carefully selected material, the book showcases a wealth of examples that demonstrate how to solve concrete problems by applying theoretical results. It addresses a broad range of applications, focusing on concrete computational techniques rather than on abstract theory. The content presented here is largely self-contained, making it suitable for researchers and graduate students alike.

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9783319623092: Stochastic Processes (Probability and Its Applications)

Vorgestellte Ausgabe

ISBN 10:  3319623095 ISBN 13:  9783319623092
Verlag: Birkhäuser, 2017
Hardcover