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Applied Probability: From Random Experiments to Random Sequences and Statistics de Valérie Girardin

Applied Probability: From Random Experiments to Random Sequences and Statistics

Autor Valérie Girardin, Nikolaos Limnios
en Limba Engleză Paperback – 5 mai 2023
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, physicsand economics, who are interested in a pragmatic introduction to the probability modeling of random phenomena.
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Specificații

ISBN-13: 9783030979652
ISBN-10: 3030979652
Pagini: 253
Ilustrații: XV, 253 p. 29 illus.
Dimensiuni: 155 x 235 mm
Greutate: 0.39 kg
Ediția:1st ed. 2022
Editura: Springer International Publishing
Colecția Springer
Locul publicării:Cham, Switzerland

Cuprins

- 1. Events and Probability Spaces. - 2. Random Variables. - 3. Random Vectors. - 4. Random Sequences. - 5. Introduction to Statistics.

Notă biografică

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.

Textul de pe ultima copertă

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, physicsand economics, who are interested in a pragmatic introduction to the probability modeling of random phenomena.

Caracteristici

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

Recenzii

“The primary audience of the book are students studying mathematics at a university and Ph.D. students in applied mathematics. It can also be served as a course at master’s and doctoral’s levels in applied probability. And finally, it is conceived as a support for the researchers and engineers dealing with stochastic modelling.” (Anatoliy Swishchuk, zbMATH 1434.60002, 2020)

“It is intended for students (at master or PhD level) in applied mathematics as well as researchers and engineers dealing with stochastic modeling issues. … Finally, the readers who want to get their hands on the different notions presented in the book will find at the end of each section a series of exercises with their solutions.” (Julien Poisat, Mathematical Reviews, October, 2019)