The Inverse Lomax-G Family with application to Breaking Strength Data
Jamilu Yunusa Falgore, Sani Ibrahim Doguwa
Asian Journal of Probability and Statistics · pp. 49–60 · Published 10 Aug 2020
10.9734/ajpas/2020/v8i230204Abstract
We proposed a new class of distributions with two additional positive parameters called the Inverse Lomax-G (IL-G) class. A special case was discussed, by taking Weibull as a baseline. Different properties of the new family that hold for any type of baseline model are derived including moments, moment generating function, entropy for Renyi, entropy for Shanon, and order statistics. The performances of the maximum likelihood estimates of the parameters of the sub-model of the Inverse Lomax-G family were evaluated through a simulation study. Application of the sub-model to the Breaking strength data clearly showed its superiority over the other competing models.
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