Type II Topp-Leone Frechet distribution: properties and applications

Shanker Rama () and Rahman Umme Habibah ()
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Shanker Rama: Department of Statistics, Assam University, Silchar. India .
Rahman Umme Habibah: Department of Statistics, Assam University, Silchar. India .

Statistics in Transition New Series, 2021, vol. 22, issue 4, 139-152

Abstract: The paper focuses on type II Topp-Leone Frechet distribution. Its properties including hazard rate function, reverse hazard rate function, Mills ratio, quantile function and order statistics have been studied. The maximum likelihood estimation used for estimating the parameters of the proposed distribution has been explained and expressions for the Fisher information matrix and confidence intervals have been provided. The paper discusses the applications of the distribution for modeling several datasets relating to temperature. Finally, the goodness of fit of the proposed distribution has been compared with that of the Frechet distribution.

Keywords: Frechet distribution; Topp-Leone distribution; reliability properties; applications. (search for similar items in EconPapers)
Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:vrs:stintr:v:22:y:2021:i:4:p:139-152:n:7

DOI: 10.21307/stattrans-2021-042

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