1
1735-1294
Statistical Research and Training Center - Statistical Centre of Iran
323
General
A New Lifetime Distribution: The Beta Modified Weibull Power Series Distribution
Bahrami
Ehsan
^{
b
}
Yarmoghaddam
Narges
^{
c
}
^{
b
}Shahid Beheshti Universiti
^{
c
}Shahid Beheshti University
1
9
2019
16
1
1
31
23
05
2019
12
03
2020
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.