Autori
Sirajo, Musaddiq
Shakil, Mohammad
Ahsanullah, Mohammad

Titolo
A Muth-Pareto Distribution: Properties, Estimation, Characterizations and Applications
Periodico
Statistica
Anno: 2022 - Volume: 82 - Fascicolo: 3 - Pagina iniziale: 243 - Pagina finale: 274

In this paper, a new distribution of the Muth-generated family is introduced by considering the Pareto model as baseline with the goal of having increased flexibility and improved goodness of fit in terms of studying tail characteristics. Maximum likelihood estimated parameters of the distribution were found to be consistent and asymptotically unbiased. From a practical point of view, it is shown that the proposed distribution is more flexible than some common statistical distributions. In particular, the proposed model proved to fit well into unimodal data structures. Some mathematical properties were derived, and characterization investigated by truncated first moment where a product of reverse hazard rate and another function of the truncated point is considered. Other characterizations by order statistics and upper record values based on the characterization by the first truncated moment were also established.



SICI: 0390-590X(2022)82:3<243:AMDPEC>2.0.ZU;2-G

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