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

Expense Summing 

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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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