Abstract #301999

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JSM 2003 Abstract #301999
Activity Number: 246
Type: Contributed
Date/Time: Tuesday, August 5, 2003 : 10:30 AM to 12:20 PM
Sponsor: IMS
Abstract - #301999
Title: An Alternative Distribution to Weibull Distribution that was Overlooked in the Literature
Author(s): Malwane M. A. Ananda*+ and Kahadawala Cooray
Companies: University of Nevada and University of Nevada
Address: Dept. of Mathematics, Las Vegas, NV, 89154,
Keywords: Weibull Distribution ; bathtub hazard function ; modeling life data
Abstract:

Starting from the normal distribution, we derive a two-parameter probability distribution. This probability distribution has been noticed as a higher parameter probability distribution in the literature. Applications and the importance of this distribution has been fully overlooked due to the complexities arising with this higher parameter distribution. The hazard function of this two-parameter family consists of many shapes including the bathtub shapes, which is a very rare property for a two-parameter family. This probability distribution fits very well with many real data sets that were published in literature, in particular the Weibull types data. In fact, for bathtub-type data, this distribution provides a much better fit than any other known two-parameter distributions.

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