@article{MAKHILLJEAS2019142218645,
    title = {Estimating Reliability and Availability Function for Different Production Systems},
    journal = {Journal of Engineering and Applied Sciences},
    volume = {14},
    number = {22},
    pages = {8147-8159},
    year = {2019},
    issn = {1816-949x},
    doi = {jeasci.2019.8147.8159},
    url = {https://makhillpublications.co/view-article.php?issn=1816-949x&doi=jeasci.2019.8147.8159},
    author = {Haidar},
    keywords = {goodness of fit order statistics,Moments of residual life,Gumbel type 2,generating functions,maximum likelihood estimation,model},
    abstract = {This study introduces a new generalization of the transmuted Marshall-Olkin Frechet distribution of
Afify using Kumaraswamy generalized family. The new model is referred to as Kumaraswamy transmuted
Marshall-Olkin Frechet distribution. This model contains 62 sub-models as special cases such as the
Kumaraswamy transmuted Frechet, Kumaraswamy transmuted Marshall-Olkin, generalized inverse Weibull and
Kumaraswamy Gumbel type 2 distributions among others. Various mathematical properties of the proposed
distribution including closed forms for ordinary and incomplete moments, quantile and generating functions
and Renyi and 0-entropies are derived. The unknown parameters of the new distribution are estimated using
the maximum likelihood estimation. We illustrate the importance of the new model by means of two applications
to real data sets.}
    }