Distributional Identities of Beta and Chi-Squared Variates: A Geometrical Interpretation
作者:
RalphW. Bailey,
期刊:
The American Statistician
(Taylor Available online 1992)
卷期:
Volume 46,
issue 2
页码: 117-120
ISSN:0003-1305
年代: 1992
DOI:10.1080/00031305.1992.10475864
出版商: Taylor & Francis Group
关键词: Distribution theory: Independence;Spherical coordinates
数据来源: Taylor
摘要:
A bivariate change of variable is proposed that elucidates the major distributional identities involving the two beta distributions and the chi-squared distribution. These identities are then seen to be the consequence of simple trigonometric relationships. The extension tondimensions clarifies further identities. There are, however, identities that seem not to fit into this scheme; three of these are reported.
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