RELIABILITY STUDIES OF GENERALIZED
SIBUYA DISTRIBUTION AND ITS APPLICATION
F. Alqallaf1, M.E. Ghitany1,
Ramesh C. Gupta2, J. Mazucheli3
1 Department of Statistics and Operations Research
Faculty of Science, Kuwait University, KUWAIT
2 Department of Mathematics and Statistics
University of Maine, Orono, Maine, USA
3 Department of Statistics
Universidade Estadual de Maringa
Maringa, PR, BRAZIL

Abstract

In this paper, we have studied the generalized Sibuya distribution from a reliability point of view. It turns out that this distribution has the log-convex property and hence is infinitely divisible. This enables us to study the monotonic properties of various reliability functions including the failure rate, the mean residual life, the variance residual life and their reversed versions. The monotone properties of the classes of discrete distributions are parallel to those of continuous distributions. Procedures are developed to estimate the reliability functions. Application to real data is provided to illustrate the results.

Citation details of the article



Journal: International Journal of Applied Mathematics
Journal ISSN (Print): ISSN 1311-1728
Journal ISSN (Electronic): ISSN 1314-8060
Volume: 34
Issue: 6
Year: 2021

DOI: 10.12732/ijam.v34i6.8

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