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Discrete Distributions

  • Wolfgang Hörmann
  • Josef Leydold
  • Gerhard Derflinger
Part of the Statistics and Computing book series (SCO)

Abstract

A discrete random variable is a random variable taking only values on integers. The distribution of a discrete random variable X is determined by its probability mass function, p k = Prob(X = k). It is also called probability vector if its support is bounded from below. In the latter case we assume without loss of generality that X is only taking values on the nonnegative integers. We then write (p 0 ,p 1 , …) for the probability vector. Analogously to the continuous case we use the terms quasi-probability mass function for a nonnegative summable function that need not be normalized.

Keywords

Unbounded Domain Probability Vector Discrete Distribution Probability Mass Function Sequential Search 
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-Verlag Berlin Heidelberg 2004

Authors and Affiliations

  • Wolfgang Hörmann
    • 1
  • Josef Leydold
    • 2
  • Gerhard Derflinger
    • 2
  1. 1.Dept. of Industrial EngineeringBogazici UniversityIstanbulTurkey
  2. 2.Dept. for Applied Statistics & Data ProcessingUniversity of Economics and Business AdministrationWienAustria

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