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Elements of probability theory

  • Vasile Drăgan
  • Toader Morozan
  • Adrian-Mihail Stoica
Chapter

Abstract

In this introductory chapter we collect several definitions and basic results from probability theory which are used in the developments in the next chapters of the book. Our goal is to present in a unified way some concepts that are presented in different ways in other bibliographic sources. Also we want to establish the basic terminology used in this book. The known results in the field are presented without proofs indicating only the bibliographic source. The less-known results or those which are in less accessible bibliographic sources are presented with their proofs. In the last part of the chapter we describe the classes of stochastic systems under consideration in the book.

Keywords

Markov Chain Exponential Stability Stochastic Matrix Markovian Switching Stochastic Matrice 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media, LLC 2010

Authors and Affiliations

  • Vasile Drăgan
    • 1
  • Toader Morozan
    • 1
  • Adrian-Mihail Stoica
    • 2
  1. 1.Institute of Mathematics “Simion Stoilow” of the Romanian AcademyBucuresti 1Romania
  2. 2.Faculty of Aerospace EngineeringUniversity “Politehnica” of BucharestBucurestiRomania

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