Abstract
In this study, we propose a new class of flexible bivariate distributions for discrete random variables. The proposed class of distribution is based on the notion of conditional failure rate for a discrete-type random variable. We derive general formulae for the joint distributions belonging to the proposed class that, unlike other discrete bivariate models already proposed in the literature such as the well-known and most popular Holgate's bivariate Poisson distribution, can model both positive and negative dependence. We discuss general statistical properties of the proposed class as well. Specific families of bivariate distributions can be generated from the general class proposed in this paper just by specifying the ‘baseline distributions’. Furthermore, specific discrete bivariate distributions belonging to the proposed class are applied to analyze three real data sets, and the results are compared with those obtained from conventional models.
Original language | English |
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Pages (from-to) | 1455-1473 |
Number of pages | 19 |
Journal | Quality and Reliability Engineering International |
Volume | 33 |
Issue number | 7 |
DOIs | |
State | Published - Nov 2017 |
Keywords
- count data
- discrete survival data
- discrete-time failure rate function
- negative dependence
- proportional hazard-type modeling