The Dirichlet distributions and polynomial regression

Rameshwar D. Gupta; Donald St P. Richards

doi:10.1016/0047-259X(90)90074-R

The Dirichlet distributions and polynomial regression

Rameshwar D. Gupta
, Donald St P. Richards

Statistics

Research output: Contribution to journal › Article › peer-review

8 Scopus citations

Abstract

Using our previous results we extend to the case of polynomial regression a recent characterization, obtained by Rao and Sinha, of the Dirichlet distributions. We also show that the class of distributions considered by Rao and Sinha possess many properties previously established by the authors for the multivariate Liouville distributions.

Original language	English (US)
Pages (from-to)	95-102
Number of pages	8
Journal	Journal of Multivariate Analysis
Volume	32
Issue number	1
DOIs	https://doi.org/10.1016/0047-259X(90)90074-R
State	Published - Jan 1990

All Science Journal Classification (ASJC) codes

Statistics and Probability
Numerical Analysis
Statistics, Probability and Uncertainty

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10.1016/0047-259X(90)90074-R

Cite this

@article{98e31b2176f54ffabb2b4930ac6a6cac,

title = "The Dirichlet distributions and polynomial regression",

abstract = "Using our previous results we extend to the case of polynomial regression a recent characterization, obtained by Rao and Sinha, of the Dirichlet distributions. We also show that the class of distributions considered by Rao and Sinha possess many properties previously established by the authors for the multivariate Liouville distributions.",

author = "Gupta, \{Rameshwar D.\} and Richards, \{Donald St P.\}",

note = "Funding Information: Received July 7, 1988; revised July 15, 1989. AMS 1980 subject classifications: Primary 62HlO; Secondary 28A01, 62E15, 62505. Key words and phrases: Dirichlet distributions, polynomial regression, Liouville distribution, total positivity, reverse rule, stochastic representation, complete neutrality. * Partially supported by the Natural Sciences and Engineering Research Council of Canada Grant A-4850. {\textquoteright} Partially supported by the National Science Foundation Grant DMS-8802929 and by the Center for Advanced Studies, University of Virginia.",

year = "1990",

month = jan,

doi = "10.1016/0047-259X(90)90074-R",

language = "English (US)",

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T1 - The Dirichlet distributions and polynomial regression

AU - Gupta, Rameshwar D.

AU - Richards, Donald St P.

N1 - Funding Information: Received July 7, 1988; revised July 15, 1989. AMS 1980 subject classifications: Primary 62HlO; Secondary 28A01, 62E15, 62505. Key words and phrases: Dirichlet distributions, polynomial regression, Liouville distribution, total positivity, reverse rule, stochastic representation, complete neutrality. * Partially supported by the Natural Sciences and Engineering Research Council of Canada Grant A-4850. ’ Partially supported by the National Science Foundation Grant DMS-8802929 and by the Center for Advanced Studies, University of Virginia.

PY - 1990/1

Y1 - 1990/1

N2 - Using our previous results we extend to the case of polynomial regression a recent characterization, obtained by Rao and Sinha, of the Dirichlet distributions. We also show that the class of distributions considered by Rao and Sinha possess many properties previously established by the authors for the multivariate Liouville distributions.

AB - Using our previous results we extend to the case of polynomial regression a recent characterization, obtained by Rao and Sinha, of the Dirichlet distributions. We also show that the class of distributions considered by Rao and Sinha possess many properties previously established by the authors for the multivariate Liouville distributions.

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UR - https://www.scopus.com/pages/publications/38249020954#tab=citedBy

U2 - 10.1016/0047-259X(90)90074-R

DO - 10.1016/0047-259X(90)90074-R

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VL - 32

SP - 95

EP - 102

JO - Journal of Multivariate Analysis

JF - Journal of Multivariate Analysis

IS - 1

ER -

The Dirichlet distributions and polynomial regression

Abstract

All Science Journal Classification (ASJC) codes

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