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

Convolution Prefix 

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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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