کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
1145794 1489678 2013 17 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Extended matrix variate gamma and beta functions
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز عددی
پیش نمایش صفحه اول مقاله
Extended matrix variate gamma and beta functions
چکیده انگلیسی
The gamma and beta functions have been generalized in several ways. The multivariate beta and multivariate gamma functions due to Ingham and Siegel have been defined as integrals having the integrand as a scalar function of the real symmetric matrix. In this article, we define extended matrix variate gamma and extended matrix variate beta functions thereby generalizing multivariate gamma and multivariate beta functions defined by Ingham and Siegel. We study a number of properties of these newly defined functions. We also give some applications of these functions to statistical distribution theory.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Multivariate Analysis - Volume 122, November 2013, Pages 53-69
نویسندگان
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