Open AccessA New Five Parameter Lifetime Distribution: Properties and Application
Author(s) -
Shimaa A. Dessoky,
Ahmed M. T. Abd El-Bar
Publication year - 2017
Publication title -
journal of advances in mathematics
Language(s) - English
Resource type - Journals
ISSN - 2347-1921
DOI - 10.24297/jam.v13i3.6045
Subject(s) - mathematics , kurtosis , weibull distribution , exponentiated weibull distribution , quantile function , exponential distribution , quantile , log cauchy distribution , moment generating function , exponential function , statistics , skewness , natural exponential family , principle of maximum entropy , probability density function , distribution fitting , mathematical analysis , inverse chi squared distribution
This paper deals with a new generalization of the Weibull distribution. This distribution is called exponentiated exponentiated exponential-Weibull (EEE-W) distribution. Various structural properties of the new probabilistic model are considered, such as hazard rate function, moments, moment generating function, quantile function, skewness, kurtosis, Shannon entropy and Rényi entropy. The maximum likelihood estimates of its unknown parameters are obtained. Finally, areal data set is analyzed and it observed that the present distribution can provide a better fit than some other known distributions.