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A generalisation of geometric distribution

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  • R. N. Rattihalli
  • S. R. Rattihalli

Abstract

We consider a sequence of independent and identical trinomial experiments and a typical stopping rule. The distribution of the stopping time is obtained by using a recurrence relation. Moments, generating functions and characteristic functions of stopping time are obtained. The parameters are estimated by three different methods and their performance is evaluated using extensive simulation. As applications, it is shown that the model gives a better fit than some of the recently proposed models for a count data set and can be used to develop process control charts. Scope for generalization is indicated.

Suggested Citation

  • R. N. Rattihalli & S. R. Rattihalli, 2023. "A generalisation of geometric distribution," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 52(13), pages 4400-4413, July.
    • Handle: RePEc:taf:lstaxx:v:52:y:2023:i:13:p:4400-4413
    DOI: 10.1080/03610926.2021.1994607
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