A New Generalized Family of Odd Lindley-G Distributions With Application

Fastel Chipepa, Broderick O. Oluyede and Boikanyo Makubate

International Journal of Statistics and Probability, 2019, vol. 8, issue 6, 1

Abstract: A new family of distributions, namely the Kumaraswamy Odd Lindley-G distribution is developed. The new density function can be expressed as a linear combination of exponentiated-G densities. Statistical properties of the new family including hazard rate and quantile functions, moments and incomplete moments, Bonferroni and Lorenz curves, distribution of order statistics and R´enyi entropy are derived. Some special cases are presented. We conduct some Monte Carlo simulations to examine the consistency of the maximum likelihood estimates. We provide an application of KOL-LLo distribution to a real data set.

Date: 2019
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