• A. N. Shiryaev
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 circumstance—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 Mathematical Expectation Discrete Parameter Dependent Random Variable Bernoulli Trial 
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 New York 1996

Authors and Affiliations

  • A. N. Shiryaev
    • 1
  1. 1.Steklov Mathematical InstituteMoscowRussia

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