• A. N. Shiryayev
Part of the Graduate Texts in Mathematics book series (GTM, volume 95)


The subject matter of probability theory is the mathematical analysis of random events, i.e. of those empirical phenomena which—under certain circumstances—can be described by saying that:
  • They do not have deterministic regularity (observations of them do not yield the same outcome) whereas at the same time;

  • They possess some statistical regularity (indicated by the statistical stability of their frequency).


Probability Theory Limit Theorem Central Limit Theorem Mathematical Expectation Discrete Parameter 


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Copyright information

© Springer Science+Business Media New York 1984

Authors and Affiliations

  • A. N. Shiryayev
    • 1
  1. 1.Steklov Mathematical InstituteMoscowUSSR

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