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Activity Number: 129
Type: Contributed
Date/Time: Monday, August 10, 2015 : 8:30 AM to 10:20 AM
Sponsor: Quality and Productivity Section
Abstract #317539 View Presentation
Title: An Alternative Modified Hypergeometric Distribution Probability Model Useful in Industrial Quality Control
Author(s): Sudip Roy* and Ram Tripathi
Companies: and The University of Texas at San Antonio
Keywords: COM-Poisson ; CMPB ; Large Sample ; Maximum Likelihood Estimate ; Quality Control
Abstract:

The tedious process of inspection of the individual members in a large population can often be reduced greatly by examining only a sample of the population and rejecting the whole lot if the proportion of defectives in the sample is unduly large. The hypergeometric distribution is a useful model often used to model the number of defective items in such cases. Sometime the distribution of the number of defective items in a sample from a finite population can deviate from the well-known hypergeometric distribution due possibly to the nature of defects being modeled or the nature of the units being studied. For this purpose, we propose a modified version of the well known hypergeometric distribution called the COM-Hypergeometric distribution. This new distribution has the limiting distribution form of COM-Poisson distribution (Conway and Maxwell, 1962) and COM-Poisson-Binomial (CMPB) (Borges and Balakrishnan, 2014 and Shmueli et.al,2005). We study some limiting properties and some other characteristics of the proposed model. We have also developed statistical inference for analyzing some existing data sets and compare the results obtained with other models.


Authors who are presenting talks have a * after their name.

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