IJAM: Volume 37, No. 4 (2024)

DOI: 10.12732/ijam.v37i4.6

GENERALIZED LINDLEY-POISSON DISTRIBUTION

AND ITS APPLICATIONS

M. E. Ghitany 1, §, A. Asgharzadeh 2, A. Saadati Nik 2

1 Department of Statistics and Operations Research

Faculty of Science, Kuwait University, KUWAIT

2 Department of Statistics

University of Mazandaran, Babolsar, IRAN

Abstract. In this paper, we consider a survival model of competing risks where the number of causes of failure is random, M, and only the minimum of the survival times due to various causes, Y = min(X1, X2, . . . , XM), is observed. Considering the distribution of M as zero-truncated Poisson and the baseline distribution of X as generalized Lindley, a generalized Lindley-Poisson distribution is obtained. The structural properties of the proposed model are

studied. The method of maximum likelihood is used to estimate the parameters of the proposed model. Simulation studies are carried out to study the performance of the estimators. Two real data sets are analyzed and it is shown that the proposed model fits better than some of the existing models.

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How to cite this paper?
DOI: 10.12732/ijam.v37i4.6
Source: International Journal of Applied Mathematics
ISSN printed version: 1311-1728
ISSN on-line version: 1314-8060
Year: 2024
Volume: 37
Issue: 4

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