DefinePK

Abstract

In the study, a distribution with four parameter of modified Weibull distribution has been purposed. The Purposed distribution has an ability to show decreasing & increasing, bathtub and upside-down bathtub failure rate. Quantile function for the purposed distribution is also represented. The new distribution has special sub models as its special cases such as Weibull distribution, Newly Modified Weibull Distribution and extreme value distribution. Infinite representation of moments has also been represented. Maximum Likelihood estimation has been adopted for the estimation of new distribution. The present study also involves the goodness of fit for the purposed distribution. Statistical Inference for the purposed distribution parameters is also illustrated. Numerical study has also been conducted for the parameter estimation. WPP also use to show the reliability of purposed distribution. Two applications are also considered for the demonstration of purposed distribution.