The history of the Dirichlet and Liouville distributions

Rameshwar D. Gupta; Donald St P. Richards

doi:10.1111/j.1751-5823.2001.tb00468.x

The history of the Dirichlet and Liouville distributions

Rameshwar D. Gupta, Donald St P. Richards

Statistics

Research output: Contribution to journal › Review article › peer-review

35 Scopus citations

Abstract

The Dirichlet distributions have long been the subject of intense scrutiny in statistics and probability. Despite the enormous interest in, and wide-ranging applications of, these distributions, little appears to be known about their history. In this article we review the development of the Dirichlet distributions and their companions, the Liouville distributions. After reviewing some integral formulas of Dirichlet and Liouville, we survey the theory and applications of these distributions in statistics.

Original language	English (US)
Pages (from-to)	433-446
Number of pages	14
Journal	International Statistical Review
Volume	69
Issue number	3
DOIs	https://doi.org/10.1111/j.1751-5823.2001.tb00468.x
State	Published - Dec 2001

All Science Journal Classification (ASJC) codes

Statistics and Probability
Statistics, Probability and Uncertainty

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10.1111/j.1751-5823.2001.tb00468.x

Cite this

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AB - The Dirichlet distributions have long been the subject of intense scrutiny in statistics and probability. Despite the enormous interest in, and wide-ranging applications of, these distributions, little appears to be known about their history. In this article we review the development of the Dirichlet distributions and their companions, the Liouville distributions. After reviewing some integral formulas of Dirichlet and Liouville, we survey the theory and applications of these distributions in statistics.

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The history of the Dirichlet and Liouville distributions

Abstract

All Science Journal Classification (ASJC) codes

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