Lagrangian Katz family of distributions

P. C. Consul, Felix Famoye

Research output: Contribution to journalArticlepeer-review

7 Scopus citations


Lagrangian Katz distribution, characterized by three parameters is defined and studied. The probability generating function and its moments are provided. The probability distribution is shown to satisfy the convolution property. The parameters are estimated by the methods of moments, the first two moments and zero frequency, and the maximum likelihood estimation. Some of the applications of the Lagrangian Katz distribution are provided.

Original languageEnglish
Pages (from-to)415-434
Number of pages20
JournalCommunications in Statistics - Theory and Methods
Issue number2
StatePublished - 1996


  • Convolution
  • Cumulants
  • Generalized distribution
  • Maximum likelihood
  • Moments
  • Probability generating function


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