The kagebushin-beta distribution: an alternative for gamma, Weibull and exponentiated exponential distributions

[摘要] A new lifetime distribution has been defined. This distribution is obtained from a transformation of a random variable with beta distribution and is called here the kagebushin-beta distribution. Some mathematical properties such as mode, quantile function, ordinary and incomplete moments, mean deviations over the mean and median and the entropies of Rényi and Shannon are demonstrated. The maximum likelihood method is used to obtain parameter estimates. Monte Carlo simulations are carried out to verify the accuracy of the maximum likelihood estimators. Applications to real data showed that the kagebushin-beta model can be better than the Weibull, gamma and exponentiated exponential distributions.

[发布日期] 2022-11-29

[关键词] Kagebushin-beta distribution;Rényi entropy;Shannon entropy;Mean deviations;Ordinary and incomplete moments;60E05;62F12;65C05;65C10