EAN: 9783030401825

PROBABILITY THEORY AND STOCHASTIC PROCESSES - P...

The ultimate objective of this book is to present a panoramic view of the main stochastic
processes which have an impact on applications  with complete proofs and exercises. Random
processes play a central role in the applied sciences  including operations research  insurance
finance  biology  physics  computer and communications networks  and signal processing.In order
to help the reader to reach a level of technical autonomy sufficient to understand the
presented models  this book includes a reasonable dose of probability theory. On the other hand
the study of stochastic processes gives an opportunity to apply the main theoretical results of
probability theory beyond classroom examples and in a non-trivial manner that makes this
discipline look more attractive to the applications-oriented student.One can distinguish three
parts of this book. The first four chapters are about probability theory  Chapters 5 to 8
concern random sequences  or discrete-time stochastic processes  and the rest of the book
focuses on stochastic processes and point processes. There is sufficient modularity for the
instructor or the self-teaching reader to design a course or a study program adapted to her his
specific needs. This book is in a large measure self-contained.

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