Girardin, Valerie

Applied probability : from random sequences to stochastic processes - Cham : Springer, 2022 - xv, 253 p. ; ill., 23 cm

Includes bibliographical references and index.
Translate from the French.

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.


Stochastic Processes
Characteristic function
Conditional distribution
Distribution function
Markov chain
Renewal process
Stationary distribution
Transition function

519.2 / GIR

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