A generalized Aradhana distribution with properties and applications

Abstract

In almost every fields of knowledge including engineering, biomedical science, social science, insurance, finance, etc, the statistical analysis and modeling of real life time data are crucial for researchers and policy makers. The classical one parameter life time distributions, namely exponential and Lindley, introduced by Lindley,1 are not always suitable due to theoretical or applied point of view for real lifetime data. To overcome the shortcomings of these classical one parameter distributions and have a better lifetime distribution, a number of one parameter lifetime distributions have been introduced in statistics literature and the statistics literature is flooded with a number of one parameter life time distributions. Shanker2 has introduced a one parameter lifetime distribution named Aradhana distribution having scale parameter θ and defined by its probability density function (pdf) and cumulative distribution function (cdf)