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Activity Number: 83
Type: Contributed
Date/Time: Sunday, August 9, 2015 : 4:00 PM to 5:50 PM
Sponsor: Section on Physical and Engineering Sciences
Abstract #317387 View Presentation
Title: An Application with the Sample Size Having a Generalized Log-Series Distribution
Author(s): Ram Tripathi* and Ramesh Gupta
Companies: The University of Texas at San Antonio and University of Maine
Keywords: Generalized log-series distribution, exponential distribution, failure rate, statistical inference
Abstract:

In this paper we first develop a generalization of the log-series distribution based on the generalized negative binomial distribution of Gupta and Ong (2004). After presenting its derivation, we investigate some of its characteristics and its relationship with other existing versions of the log-series distribution. Then, we utilize this distribution to formulate the well-known model with decreasing failure rate which represents the distribution of the minimum of a random number of independent exponential random variables where the number of exponential observations has the proposed log-series distribution. Such a model represents the life of a series system with random number of components and has applications in the areas of "Engineering" in the context of work hardening and in biological sciences in the context of 'immunity'. We investigate some properties of this model and develop methods of estimation and test of hypothesis. Finally, we present some examples drawn from the literature.


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