A bivariate mixture of negative binomial distributions and its applications. Issue 17 (1st September 2020)

• Record Type: Journal Article
• Authors: Singh, Deepak; Kumar, Somesh
• Is Part Of: Communications in statistics. Volume 49:Issue 17(2020)
• Page Start: 4162
• Page End: 4177
• Publication Date: 2020-09-01
• Subjects: Bivariate beta distribution -- generalized hypergeometric function -- multivariate discrete distribution -- numerical estimation -- over-dispersion; Mathematical statistics -- Periodicals; Mathematics; Statistics; 519.2
• DOI: 10.1080/03610926.2019.1595651
• Languages: English
• ISSNs: 0361-0926

Abstract

Abstract: We construct a new bivariate mixture of negative binomial distributions which represents over-dispersed data more efficiently. This is an extension of a univariate mixture of beta and negative binomial distributions. Characteristics of this joint distribution are studied including conditional distributions. Some properties of the correlation coefficient are explored. We demonstrate the applicability of our proposed model by fitting to three real data sets with correlated count data. A comparison is made with some previously used models to show the effectiveness of the new model.