Some Aspects of Discrete Hazard Rate Function in Telescopic Families

Generating discrete analogues of continuous probability distributions-A survey of methods and constructions

“…Rezaei Roknabadi et al (2009) obtained the pmf of their telescopic distribution by discretizing the extended exponential distribution as…”

“…Þ ; k ¼ 0; 1; 2; ⋯; where q = e − α , 0 < q < 1 Rezaei Roknabadi et al (2009) have shown that this family of distribution belongs to IFR (increasing Failure Rate) class if any one of the following is true:…”

“…Despite these discrete life time distributions played only a marginal role in reliability analysis. Therefore, there is a need to focus on more realistic discrete life time distributions (Rezaei Roknabadi et al 2009). That is discretization of a continuous lifetime model is an interesting and intuitively appealing approach to derive a discrete lifetime model corresponding to the continuous one (Lai 2013).…”

Bayesian estimation of discrete Burr distribution with two parameters

“…Using these techniques, continuous distributions can be transformed to discrete distributions. Katz [4] , Roknabadi et al [5], Krishna and Pundir [1] have expressed different methods to generate discrete families of distributions. Burr distribution with two parameters is obtained using the general approach of discretizing continuous distribution which can be considered as suitable lifetime models.…”

Probabilistic properties of discrete mean and variance reversed residual lifetime functions

“…It was only briefly mentioned by [3]. For earlier works on discrete lifetime distributions, see [6], [8], [9], [15], [17], [18], [20] and [21].…”