Multivariate Discrete Distributions and Goodness-of-Fit

• Activity Number: 61
• Type: Topic Contributed
• Date/Time: Sunday, July 31, 2016 : 4:00 PM to 5:50 PM
• Sponsor: Government Statistics Section
• Author(s): Sunil Dhar*
• Companies: New Jersey Institute of Technology
• Keywords: multivariate geometric ; bivariate geometric ; goodness-of-fit ; negative multinomial distribution ; extended negative multinomial distribution ; discrete multivariate distributions

Abstract

Anytime one needs to analyze cross classification tables of count data, multivariate discrete distributions play a natural role of representing them. There are several multivariate distributions that arise in problem solving with different applications naturally. In this research a few of these distributions that are multivariate geometric in nature and others that are multinomial extension of the negative multinomial distribution is presented. Evaluation of the goodness-of-fit of discrete multivariate distributions is also discussed.