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Survival Distributions with Bathtub Shaped Hazard: A New Distribution Family

Title:

Survival Distributions with Bathtub Shaped Hazard: A New Distribution Family

Chaubey, Yogendra P. and Zhang, Rui (2013) Survival Distributions with Bathtub Shaped Hazard: A New Distribution Family. Technical Report. Concordia University, Department of Mathematics & Statistics, Montreal, Quebec.

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Abstract

In this article we introduce an extension of Chen’s (2000) family of distributions given by Lehman alternatives [see Gupta et al.(1998)] that is shown to present another alternative to the generalized Weibull and exponentiated Weibull families for modeling survival data. The extension proposed here can be seen as the extension to the Chen’s distribution as the exponentiated Weibull is to the Weibull. A structural analysis of the density function in terms of tail classification and extremes is carried out similar to that of generalized Weibull family carried
out in Mudholkar and Kollia (1994). The new model is also seen to fit well to the flood data used in fitting the exponentiated Weibull model in Mudholkar and Hutson (1996).

Divisions:Concordia University > Faculty of Arts and Science > Mathematics and Statistics
Item Type:Monograph (Technical Report)
Authors:Chaubey, Yogendra P. and Zhang, Rui
Series Name:Department of Mathematics & Statistics, Technical Report No. 1/13
Corporate Authors:Concordia University, Department of Mathematics & Statistics
Institution:Concordia University
Date:November 2013
ID Code:978281
Deposited By: GIOVANNA VENETTACCI
Deposited On:24 Feb 2014 14:27
Last Modified:18 Jan 2018 17:46

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