A generalisation of geometric distribution

R. N. Rattihalli and S. R. Rattihalli

Communications in Statistics - Theory and Methods, 2023, vol. 52, issue 13, 4400-4413

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.

Date: 2023
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DOI: 10.1080/03610926.2021.1994607

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