RT - Journal Article
T1 - The Beta-Weibull Logaritmic Distribution: Some Properties and Applications
JF - JIRSS
YR - 2016
JO - JIRSS
VO - 15
IS - 1
UR - http://jirss.irstat.ir/article-1-287-en.html
SP - 92
EP - 108
K1 - Beta distribution
K1 - Beta-Weibull-Logarithmic distribution
K1 - Hazard rate function
K1 - Maximum likelihood estimation
K1 - Sterling Polynomials
K1 - Weibull distribution
AB - In this paper, we introduce a new five-parameter distribution with increasing, decreasing, bathtub-shaped failure rate called the Beta-Weibull-Logarithmic (BWL) distribution. Using the Sterling Polynomials, various properties of the new distribution such as its probability density function, its reliability and failure rate functions, quantiles and moments, R$acute{e}$nyi and Shannon entropies, moments of order statistics, Bonferroni and Lorenz curves were derived. then the maximum likelihood estimation of BWL distribution for the parameters of BWL distribution are found. Finally the usefulness of this distribution for real data are presented.
LA eng
UL http://jirss.irstat.ir/article-1-287-en.html
M3
ER -