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Discrete Probability

  • Pierre Brémaud
Part of the Undergraduate Texts in Mathematics book series (UTM)

Abstract

LetEbe a denumerable set (i.e., finite or countable) and let (Ω,S,P) be a probability space. Any functionXmapping Ω intoEand such that for all xE,
$$ \{ \omega |X(\omega ) = x\} \in \mathcal{F}, $$
(1)
is called adiscrete random elementofE. When\( E \subset \mathbb{R} \) one would rather refer toXas adiscrete random variable.

Keywords

Random Element Code Word Discrete Random Variable Discrete Probability Poisson Random Variable 
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 1988

Authors and Affiliations

  • Pierre Brémaud
    • 1
  1. 1.Laboratoire des Signaux et Systèmes, CNRSPlateau de MoulonGif-sur-YvetteFrance

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