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Applied probability : from random sequences to stochastic processes

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This textbook addresses postgraduate students in applied mathematics, probability, and statistics, as well as computer scientists, biologists, physicists and economists, who are seeking a rigorous introduction to applied stochastic processes. Pursuing a pedagogic approach, the content follows a path of increasing complexity, from the simplest random sequences to the advanced stochastic processes. Illustrations are  Read more...

Abstract: This textbook addresses postgraduate students in applied mathematics, probability, and statistics, as well as computer scientists, biologists, physicists and economists, who are seeking a rigorous introduction to applied stochastic processes. Pursuing a pedagogic approach, the content follows a path of increasing complexity, from the simplest random sequences to the advanced stochastic processes. Illustrations are provided from many applied fields, together with connections to ergodic theory, information theory, reliability and insurance. The main content is also complemented by a wealth of examples and exercises with solutions

Author(s): Girardin, Valérie; Limnios, Nikolaos
Publisher: Springer
Year: 2018

Language: English, French
Tags: St

Content: Preface --
Independent Random Sequences --
Conditions and Martingales --
Markov Chains --
Continuous Time Stochastic Processes --
Markov and Semi-Markov Processes --
Further Reading.-