Statistical Properties and Applications of Exponentiated Inverse Power Cauchy Distribution

In this article, we have introduced the new distribution named exponentiated inverse power Cauchy distribution, which presents more flexibility in modeling a real lifetime dataset. The proposed is analytically appealing and easy to work with can be used efficiently analyze data sets. Its probability density function include various shapes according value of parameters. Different explicit expressions for its quantile, survival, hazard generating function, order statistics, cumulative failure rate are provided. model’s parameters estimated by using maximum likelihood estimation method, also obtained observed information matrix. We constructed asymptotic confidence intervals distribution. illustrated goodness-of-fit test application purposed empirically through real-life set. All computations performed R software (version 4.1.1). It that gets at least similar or better fit than some selected distributions taken comparison.