الفهرس 
New generalization of fréchet distribution
Abstract EnglishOnly 14 pages are availabe for public view
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Abstract
In the past decades, many generators have been proposed by extending some useful statistical distributions.These created families have been widely used for assessing and modelling a variety of lifetime data in a variety of applications, including reliability, engineering, and economics. However, there still remain many real data, which do not follow of the classical distributions.The Weibull distribution is commonly used to assess life testing data, but it cannot be employed if the data show a non-monotone and uni-modal hazard function.The Fréchetdistribution is the inverse form of Weibull distribution which has the ability to solve the Weibull problem.The Fréchet distribution is a well-known distribution for interpreting data from reliability engineering and life testing experiments, and it has been used to represent a variety of real-world applications, such as the degradation of mechanical components like pistons and crankshafts in diesel engines. The new alpha power Fréchet (NAPFr) distribution is offered in the current work as a new three-parameter lifetime.This distribution is a particular case of the new alpha power transmuted G-Family. The NAPFr model can be viewed as an alternative distribution to some new generalized forms of Fréchet distribution. It is density function can be unimodal and right skewed. Its hazard rate function can take on several shapes, including growing, decreasing, and upside down. Several statistical properties are provided such as moments, incomplete moments, probability weighted moments, conditional moments and Rényi entropy. For estimating population parameters, the maximum likelihood technique is used. An approximate confidence interval is constructed. Simulation issue as well as application to real data are provided