TY - JOUR
T1 - A New Lifetime Distribution: The Beta Modified Weibull Power Series Distribution
TT - یک توزیع طول عمر جدید: توزیع سری توانی بتا وایبل اصلاحشده
JF - srtc-jsri
JO - srtc-jsri
VL - 16
IS - 1
UR - http://jsri.srtc.ac.ir/article-1-323-en.html
Y1 - 2019
SP - 1
EP - 31
KW - Lifetime
KW - Beta Modified Weibull distribution
KW - power series distribution
KW - maximum Likelihood estimation
KW - hazard function
KW - Fisher's information matrix
N2 - 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.
M3 10.52547/jsri.16.1.1
ER -