The Inverse Lomax-G Family with application to Breaking Strength Data

Main Article Content

Jamilu Yunusa Falgore
Sani Ibrahim Doguwa

Abstract

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.

Keywords:
Entropy, new Weibull inverse Lomax, complete sample, Monte Carlo simulation, inverse lomax, inverse Lomax-G family.

Article Details

How to Cite
Falgore, J. Y., & Doguwa, S. I. (2020). The Inverse Lomax-G Family with application to Breaking Strength Data. Asian Journal of Probability and Statistics, 8(2), 49-60. https://doi.org/10.9734/ajpas/2020/v8i230204
Section
Original Research Article

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