Theoretical Analysis of the Weibull Alpha Power Inverted Exponential Distribution: Properties and Applications

Authors : Eferhonore EFE-EYEFIA, Joseph THOMAS, Samuel Chiabom ZELIBE

Pages : 265-277

Doi:10.35378/gujs.537832

View : 12 | Download : 4

Publication Date : 2020-03-01

Article Type : Research Paper

Abstract :This article proposed a Weibull-Alpha Power Inverted Exponential insert ignore into journalissuearticles values(WAPIE); distribution for lifetime processes. Statistical properties of this distribution such as survival, hazard, reversed hazard, cumulative, odd functions, kurtosis, quantiles, skewness, order statistics and the entropies were derived. Parameters of this family of distribution were also obtained by maximum likelihood method. The behaviour of the estimators was studied through simulation. The behavior of the new developed distribution was further examined through real life data. The WAPIE distribution competes favourably well with other distributions. 
Keywords : Alpha Power, Inverted Exponential, Life Time Distribution, Maximum Likelihood, Weibull