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 - #308408
Title: A Life-Time Model with Random Number of Components in a Series System
Author(s): Ram C. Tripathi*+ and Ramesh C. Gupta
Companies: The University of Texas at San Antonio and University of Maine
Address: Department of Management Science and Statistics, San Antonio, TX, 78249, United States
Keywords: Generalized log-series distribution ; Reliability function ; maximum likelihood

In this paper, we propose a generalization of the log-series distribution based on a generalized negative binomial distribution of Gupta and Ong (Computational Statistics and Data Analysis, 2004), and study its properties. This distribution is used to obtain the distribution of the minimum of a random number of exponential variables. Such models have interesting applications in engineering and biological sciences in the contexts of "work-hardening" and "immunity", respectively. The parameters of the resulting distribution are estimated and the results compared with those of Tahmasbi and Rezaei (Computational Statistics and Data Analysis, 2008). Some examples are presented to illustrate the model.

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