An Introduction to Applied Probability

Name: An Introduction to Applied Probability
Brand: Springer
SKU: 9783031493058
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by Pierre Brémaud

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ISBN13: 9783031493058
Binding: Hardcover
Subject: N/A
Publisher: Springer
Publisher Imprint: Springer
Publication Date: May 4, 2024
Pages: 492
Original Price: EUR 69.99
Language: English
Edition: 2024
Item Weight: 1003 grams
BISAC Subject(s): Probability & Statistics / General

About The Book

From the Back Cover
This book provides the elements of probability and stochastic processes of direct interest to the applied sciences where probabilistic models play an important role, most notably in the information and communications sciences, computer sciences, operations research, and electrical engineering, but also in fields like epidemiology, biology, ecology, physics, and the earth sciences.
The theoretical tools are presented gradually, not deterring the readers with a wall of technicalities before they have the opportunity to understand their relevance in simple situations. In particular, the use of the so-called modern integration theory (the Lebesgue integral) is postponed until the fifth chapter, where it is reviewed in sufficient detail for a rigorous treatment of the topics of interest in the various domains of application listed above.
The treatment, while mathematical, maintains a balance between depth and accessibility that is suitable for the efficient manipulation, based on solid theoretical foundations, of the four most important and ubiquitous categories of probabilistic models:

Markov chains, which are omnipresent and versatile models in applied probability
Poisson processes (on the line and in space), occurring in a range of applications from ecology to queuing and mobile communications networks
Brownian motion, which models fluctuations in the stock market and the "white noise" of physics
Wide-sense stationary processes, of special importance in signal analysis and design, as well as in the earth sciences.

This book can be used as a text in various ways and at different levels of study. Essentially, it provides the material for a two-semester graduate course on probability and stochastic processes in a department of applied mathematics or for students in departments where stochastic models play an essential role. The progressive introduction of concepts and tools, along with the inclusion of numerous examples, also makes this book well-adapted for self-study.

About The Author

Pierre Brémaud graduated from the École Polytechnique and obtained his Doctorate in Mathematics from the University of Paris VI and his PhD from the department of Electrical Engineering and Computer Science at the University of California, Berkeley. He is a major contributor to the theory of stochastic processes and their applications, and has authored or co-authored several reference books and textbooks.

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