کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4631208 1340619 2010 19 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
A class of bivariate negative binomial distributions with different index parameters in the marginals
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
A class of bivariate negative binomial distributions with different index parameters in the marginals
چکیده انگلیسی

In this paper, we consider a new class of bivariate negative binomial distributions having marginal distributions with different index parameters. This feature is useful in statistical modelling and simulation studies, where different marginal distributions and a specified correlation are required. This feature also makes it more flexible than the existing bivariate generalizations of the negative binomial distribution, which have a common index parameter in the marginal distributions. Various interesting properties, such as canonical expansions and quadrant dependence, are obtained. Potential application of the proposed class of bivariate negative binomial distributions, as a bivariate mixed Poisson distribution, and computer generation of samples are examined. Numerical examples as well as goodness-of-fit to simulated and real data are also given here in order to illustrate the application of this family of bivariate negative binomial distributions.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 217, Issue 7, 1 December 2010, Pages 3069–3087
نویسندگان
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