期刊
COMMUNICATIONS IN STATISTICS-THEORY AND METHODS
卷 47, 期 10, 页码 2314-2326出版社
TAYLOR & FRANCIS INC
DOI: 10.1080/03610926.2013.864766
关键词
Correlated count data; Inference; Mixture model; Multivariate analysis; Image analysis
We consider a particular generalization of the negative binomial distribution to the multivariate case obtained through a specification of the probability generating function as the negative power of a certain polynomial. The probability function itself has previously been derived for the two-dimensional case only, and inference in the multivariate negative binomial distribution has been restricted to the use of composite likelihood based on one- or two-dimensional marginals. In this article, we derive the three-dimensional probability function as a sum with all terms positive and study the range of possible parameter values. We illustrate the use of the three-dimensional distribution for modeling three correlated SAR images.
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