A New Five-Parameter Fréchet Model for Extreme Values

Muhammad Ahsan ul Haq, Haitham M. Yousof, Sharqa Hashmi

Abstract


A new five parameter Fréchet model for Extreme Values was proposed and studied. Various mathematical properties including moments, quantiles, and moment generating function were derived. Incomplete moments and probability weighted moments were also obtained. The maximum likelihood method was used to estimate the model parameters. The flexibility of the derived model was accessed using two real data set applications.

Keywords


Fréchet, Weibull-G, Moments, Hazard rate, hazard rate, Maximum Likelihood.

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DOI: http://dx.doi.org/10.18187/pjsor.v13i3.1727

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Title

A New Five-Parameter Fréchet Model for Extreme Values

Keywords

Fréchet, Weibull-G, Moments, Hazard rate, hazard rate, Maximum Likelihood.

Description

A new five parameter Fréchet model for Extreme Values was proposed and studied. Various mathematical properties including moments, quantiles, and moment generating function were derived. Incomplete moments and probability weighted moments were also obtained. The maximum likelihood method was used to estimate the model parameters. The flexibility of the derived model was accessed using two real data set applications.

Date

2017-09-01

Identifier


Source

Pakistan Journal of Statistics and Operation Research; Vol. 13 No. 3, 2017



Print ISSN: 1816-2711 | Electronic ISSN: 2220-5810