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Applied Probability

From Random Experiments to Random Sequences and Statistics

  • Textbook
  • © 2022

Overview

Authors:
  1. Valérie Girardin

    1. Laboratoire de Mathématiques Nicolas Oresme, Université de Caen Normandie, Caen, France

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  2. Nikolaos Limnios

    1. Laboratoire de Mathématiques Appliquées de Compiègne, Université de Technologie de Compiègne, Compiègne, France

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  • Presents a self-contained, comprehensive, accessible course on probability

  • Features numerous exercises with detailed solutions and examples from applied fields

  • Provides the necessary first step to more advanced texts on probability modeling

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Table of contents (5 chapters)

  1. Front Matter

    Pages i-xv
    Download chapter PDF

  2. Events and Probability Spaces

    • Valérie Girardin, Nikolaos Limnios
    Pages 1-29

  3. Random Variables

    • Valérie Girardin, Nikolaos Limnios
    Pages 31-94

  4. Random Vectors

    • Valérie Girardin, Nikolaos Limnios
    Pages 95-147

  5. Random Sequences

    • Valérie Girardin, Nikolaos Limnios
    Pages 149-200

  6. Introduction to Statistics

    • Valérie Girardin, Nikolaos Limnios
    Pages 201-244

  7. Back Matter

    Pages 245-253
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Keywords

About this book

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.

Authors and Affiliations

  • Laboratoire de Mathématiques Nicolas Oresme, Université de Caen Normandie, Caen, France

    Valérie Girardin

  • Laboratoire de Mathématiques Appliquées de Compiègne, Université de Technologie de Compiègne, Compiègne, France

    Nikolaos Limnios

About the authors

Valérie Girardin is an Exceptional Class Associate Professor at the CNRS Laboratory of Mathematics Nicolas Oresme (LMNO), Université de Caen Normandie, France. Agrégée in mathematics, she also holds the French Habilitation, a requirement to supervise PhD students. She teaches analysis, probability and statistics to various types of students, including future secondary school teachers in mathematics. Her research interests include diverse aspects of stochastic processes, from theory to applied statistics, with a focus on entropy.


Nikolaos Limnios is a Full Professor at the Applied Mathematics Laboratory (LMAC) at the Université de Technologie de Compiègne (UTC), France. He teaches probability, statistics and stochastic processes to future engineers. His research interests in probability and statistics include Markov, semi-Markov processes, random evolutions, and their applications.

Bibliographic Information

  • Book Title: Applied Probability

  • Book Subtitle: From Random Experiments to Random Sequences and Statistics

  • Authors: Valérie Girardin, Nikolaos Limnios

  • DOI: https://doi.org/10.1007/978-3-030-97963-8

  • Publisher: Springer Cham

  • eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)

  • Copyright Information: The Editor(s) (if applicable) and The Author(s), under exclusive licence to Springer Nature Switzerland AG 2022

  • Hardcover ISBN: 978-3-030-97962-1Published: 04 May 2022

  • Softcover ISBN: 978-3-030-97965-2Published: 05 May 2023

  • eBook ISBN: 978-3-030-97963-8Published: 04 May 2022

  • Edition Number: 1

  • Number of Pages: XV, 253

  • Number of Illustrations: 29 b/w illustrations

  • Topics: Probability Theory and Stochastic Processes, Statistical Theory and Methods, Applied Statistics

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