This is the program for the 2010 Joint Statistical Meetings in Vancouver, British Columbia.

Abstract Details

Activity Number: 77
Type: Contributed
Date/Time: Sunday, August 1, 2010 : 4:00 PM to 5:50 PM
Sponsor: Section on Physical and Engineering Sciences
Abstract - #307458
Title: Failure Rate of the Mixture of Two Skew Normal Variables
Author(s): Pushpa L. Gupta*+ and Ramesh C. Gupta
Companies: University of Maine and University of Maine
Address: Department of Mathematics and Statistics, Orono, ME, 04469-5752,
Keywords: Failure rate ; monotonicity ; mixtures

It is well known that the mixtures of increasing failure rate (IFR) variables are not necessarily IFR. In this presentation, we shall investigate the monotonicity of the failure rate of the mixture of two standard skew normal variables. Even though the failure rate of a skew normal variable is increasing, it is shown that the shape of the failure rate of the mixture of two skew normal variables depend on the skew parameter as well as the mixing proportion.

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