Applied probability : from random experiments to random sequences and statistics
Author(s)
Bibliographic Information
Applied probability : from random experiments to random sequences and statistics
Springer, 2022
- Other Title
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Probabilités et introduction à la statistique
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"Translation from the French language edition: Probabilités et introduction à la statistique, Vuibert 2014" -- T.p. verso
Includes bibliographical references and index
Description and Table of Contents
Description
This textbook presents the basics of probability and statistical estimation, with a view to applications. The didactic presentation follows a path of increasing complexity with a constant concern for pedagogy, from the most classical formulas of probability theory to the asymptotics of independent random sequences and an introduction to inferential statistics. The necessary basics on measure theory are included to ensure the book is self-contained. Illustrations are provided from many applied fields, including information theory and reliability theory. Numerous examples and exercises in each chapter, all with solutions, add to the main content of the book.
Written in an accessible yet rigorous style, the book is addressed to advanced undergraduate students in mathematics and graduate students in applied mathematics and statistics. It will also appeal to students and researchers in other disciplines, including computer science, engineering, biology, physics and economics, who are interested in a pragmatic introduction to the probability modeling of random phenomena.
Table of Contents
- 1. Events and Probability Spaces. - 2. Random Variables. - 3. Random Vectors. - 4. Random Sequences. - 5. Introduction to Statistics.
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