Abstract

PETER, PETER O. et al. The Gamma Odd Burr III-G Family of Distributions: Model, Properties and Applications. Rev.Colomb.Estad. [online]. 2021, vol.44, n.2, pp.331-368.  Epub Aug 31, 2021. ISSN 0120-1751.  https://doi.org/10.15446/rce.v44n2.89320.

A new family of distributions called Risti¢-Balakhrishnan Odd Burr III-G (RBOB III-G) distribution is proposed. We obtain some mathematical and statistical properties of this distribution such as hazard and reverse hazard functions, quantile function, moments and generating functions, conditional moments, Rényi entropy, order statistics, stochastic ordering and probability weighted moments. The model parameters are estimated using máximum likelihood estimation technique. Finally, the usefulness of this family of distributions is demonstrated via simulation experiments.

Keywords : Family of distributions; Moments; Maximum likelihood; Odd Burr-III; Ristić-Balakhrishnan.

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