Abstract

OLOYEDE, Broderick  and  GABANAKGOSI, Morongwa. The Type II Exponentiated Half Logistic-Marshall-Olkin-G Family of Distributions with Applications. Rev.Colomb.Estad. [online]. 2023, vol.46, n.2, pp.19-51.  Epub July 12, 2023. ISSN 0120-1751.  https://doi.org/10.15446/rce.v46n2.103163.

A new generalized family of distributions called the type II exponentiated half logistic-Marshall-Olkin-G distribution is developed. Some special cases of the new model are presented. We explore some statistical properties of the new family of distributions. The statistical properties studied include expansion of the density function, hazard rate and quantile functions, moments, moment generating functions, probability weighted moments, stochastic ordering, distribution of order statistics and Rényi entropy. The maximum likelihood, ordinary and weighted least-squares techniques for the estimation of model parameters are presented, and Monte Carlo simulations for the new family of distributions are conducted. The importance of the new family of distributions is examined by means of applications to two real data sets.

Keywords : Marshall-Olkin-G distribution; Maximum likelihood estimation; Simulations; Type II exponentiated half logistic distribution.

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