JSM 2004 - Toronto

Abstract #300879

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Activity Number: 115
Type: Contributed
Date/Time: Monday, August 9, 2004 : 10:30 AM to 12:20 PM
Sponsor: Section on Physical and Engineering Sciences
Abstract - #300879
Title: The Class of Beta-exponential Distributions: Properties, Estimation, and Applications
Author(s): Jacinth A. Maynard*+
Companies: University of Pittsburgh, Bradford
Address: 234E Swarts Hall, Bradford, PA, 16701,
Keywords: class of beta-exponential distributions ; moments ; parameter estimation ; goodness of fit ; hazard function
Abstract:

A new general model, a class of beta-exponential distributions, generated from the distribution of the beta random variable, is developed. The beta-exponential distribution is a three parameter probability model. Properties such as moments and limiting properties are established. The method of moments and the maximum likelihood method are used to estimate the parameters. Some real-life data are fitted and the goodness of fit is compared to that of the Weibull, the gamma, the exponentiated-exponential, the Lagrange gamma, and the beta-normal family. The hazard function of the beta-exponential distribution is investigated and compared to the hazard functions of the gamma, the Weibull, and the exponentiated-exponential distributions. In five of the seven datasets considered, the beta-exponential distribution provided a better fit than one or more of the other distributions used for comparison. Furthermore, the hazard function of the beta-exponential distribution behaves similarly to, but more general than, the hazard function of the Weibull, gamma, and exponentiated-exponential distributions.

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