RT - Journal Article
T1 - A New Lifetime Distribution: The Beta Modified Weibull Power Series Distribution
JF - srtc-jsri
YR - 2019
JO - srtc-jsri
VO - 16
IS - 1
UR - http://jsri.srtc.ac.ir/article-1-323-en.html
SP - 1
EP - 31
K1 - Lifetime
K1 - Beta Modified Weibull distribution
K1 - power series distribution
K1 - maximum Likelihood estimation
K1 - hazard function
K1 - Fisher's information matrix
AB - In this paper, we propose a new parametric distribution which called as the Beta Modified Weibull Power Series (BMWPS) distribution. This distribution is obtained by compounding Beta Modified Weibull (BMW) and power series distributions. BMWPS distribution contains, as special sub-models, such as Beta Modified Weibull Poisson (BMWP) distribution, Beta Modified Weibull Geometric (BMWG) distribution, Beta Modified Weibull Logarithmic (BMWL) distribution, among others. We obtain closed-form expressions for the cumulative distribution, density, survival function, failure rate function, the r-th raw moment and the moments of order statistics. A full likelihood-based approach that allows yielding maximum likelihood estimates of the BMWPS arameters is used. Finally, application to the Aarset data are given.
LA eng
UL http://jsri.srtc.ac.ir/article-1-323-en.html
M3 10.52547/jsri.16.1.1
ER -