Abstract
This work proposes an inverse odd Weibull (IOW) family of distributions for a lifetime distributions. Some mathematical properties of this family of distribution were derived. Survival, hazard, quantiles, reversed hazard, cumulative, odd functions, kurtosis, skewness, order statistics and entropies of this new family of distribution were examined. The parameters of the family of distributions were obtained by maximum likelihood. The behavior of the estimators were studied through simulation. The flexibility and importance of the distribution by means of real data set applications were emphasized.
Highlights
Modeling lifetime processes has received several attentions in recent time
The interest of distribution statistics has grown over the years by applying its applications to obtain the parameters of interest, improve the understanding of the processes; and to make a prediction at some locations where measurements of such processes are not available
This article is organized as follows: Section 1 introduced the model, Section 2 provided the formulation of the inverse odd Weibull family of distribution together with its maximum likelihood of its parameters
Summary
Modeling lifetime processes has received several attentions in recent time. the interest of distribution statistics has grown over the years by applying its applications to obtain the parameters of interest, improve the understanding of the processes; and to make a prediction at some locations where measurements of such processes are not available. Gupta et al(1998), Gupta and Kundu(1999), Mudholkar and Srivastava(1993), Oguntunde et al(2013), Cordeiro et al(2013), Oguntunde et al(2014a, 2014b, 2014c), Oguntunde et al(2017a), Yousof et al(2015), Yousof et al(2017a, 2017b, 2017c), Yousof et al(2018), Cordeiro et al(2017a, 2017b), Aryal et al(2017) and Nofal et al(2017) proposed a generator called the exponentiated classes These classes, consist of the cumulative distribution function of positive power parameter. This article is organized as follows: Section 1 introduced the model, Section 2 provided the formulation of the inverse odd Weibull family of distribution together with its maximum likelihood of its parameters.
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