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 o
(2022). 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 o. EKB Journal Management System, 30(1), 1-10. doi: 10.1186/s42787-022-00158-7
. "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 o". EKB Journal Management System, 30, 1, 2022, 1-10. doi: 10.1186/s42787-022-00158-7
(2022). '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 o', EKB Journal Management System, 30(1), pp. 1-10. doi: 10.1186/s42787-022-00158-7
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 o. EKB Journal Management System, 2022; 30(1): 1-10. doi: 10.1186/s42787-022-00158-7

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 o

Journal of the Egyptian Mathematical Society
Volume 30, Issue 1, 2022, Pages 1-10    PDF (1.59 M)
Document Type: Original Article
DOI: 10.1186/s42787-022-00158-7
Abstract
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
Keywords
Kagebushin-beta distribution; Rényi entropy; Shannon entropy; Mean deviations; Ordinary and incomplete momentsٍ
Statistics
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