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Activity Number: 658 - Biometrics Data Mining
Type: Contributed
Date/Time: Thursday, August 3, 2017 : 10:30 AM to 12:20 PM
Sponsor: Biometrics Section
Abstract #324815
Title: A COM-Type Generalization of the Negative Binomial Distribution with Applications
Author(s): Ram Tripathi* and Sudip Roy and Narayanaswamy Balakrishnan
Companies: UTSA, Texas and University of Texas at San Antonio and McMaster University
Keywords: Over-dispersion ; MLE ; log-concavity ; failure rate ; shape parameter ; likelihood ratio test
Abstract:

Negative Binomial (NB) distribution is a widely used discrete probability distribution that arises when drawing sample with replacement from an infinite population. This distribution is always over-dispersed, which we considered as a limitation. We propose a modified version of the NB called the COM-Negative Binomial distribution (COM-NB) by introducing a shape parameter. We note that recently, Chakraborty and Ong proposed another COM-NB model with a different approach and orientation. COM-NB can display lower and higher index of dispersion than its ordinary counterpart. COM-NB approaches to COM-Poisson distribution under suitable limiting conditions. Some salient characteristics of the model such as moments, log-concavity and log-convexity and monotonicity of the failure rates are investigated. We have developed MLE of the parameters of the COM-NB and examined the behavior extensively by simulation. We have formulated likelihood ratio test for the shape parameter to ascertain if the more general model is appropriate for a given data set. We present some examples on its applicability in various areas by fitting the model to some available data from literature.


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

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