Discrete modified Weibull distribution

In this paper, a new discrete distribution applicable for modeling discrete reliability and survival data is proposed. This distribution is a discrete version of the modified Weibull model obtained by Lai et al. (2003), and has increasing or bathtub shaped failure rate function. Some properties and characteristics of it are studied. The Weibull probability paper plot method and the maximum likelihood approach are considered to estimate its parameters. Finally, the initiated model and some other discrete distributions are fitted to two data sets of lifetimes, and are compared for their ability to describe the data.

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