Multivariate Generalization of the Confluent Hypergeometric Function Kind 1 Distribution
The confluent hypergeometric function kind 1 distribution with the probability density function (pdf) proportional to x_−1F11(α;β;−x), x>0 occurs as the distribution of the ratio of independent gamma and beta variables. In this article, a multivariate generalization of this distribution is defin...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2008-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/2008/152808 |
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| Summary: | The confluent hypergeometric function kind 1 distribution with the probability density function (pdf) proportional to x_−1F11(α;β;−x), x>0 occurs as the distribution of the ratio of independent gamma and beta variables. In this article, a multivariate generalization of this distribution is defined and derived. Several pertinent properties of this multivariate distribution are discussed that shed some light on the nature of the distribution. |
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| ISSN: | 0161-1712 1687-0425 |