A note on derivation of the generating function for the right truncated Rayleigh distribution

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An expression is obtained for the probability that a Weibull random variable falls after the truncation and within a finite interval. However small, the truncation in the Weibull distribution (when the value of the shape parameter is two, it is called the Rayleigh distribution) has an impact. An attempt is made to obtain generating functions for two fixed shape parameters.

Original languageEnglish (US)
Pages (from-to)789-794
Number of pages6
JournalApplied Mathematics Letters
Issue number8
Publication statusPublished - Aug 1 2006
Externally publishedYes



  • Incomplete gamma
  • Kummer's function
  • Weibull distribution

ASJC Scopus subject areas

  • Applied Mathematics

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