THE DIRICHLET DISTRIBUTIONS AND POLYNOMIAL REGRESSION

被引：5

作者：

GUPTA, RD ^{[1
]}

RICHARDS, DS ^{[1
]}

机构：

[1] UNIV VIRGINIA, CHARLOTTESVILLE, VA 22903 USA

来源：

JOURNAL OF MULTIVARIATE ANALYSIS | 1990年 / 32卷 / 01期

基金：

美国国家科学基金会; 加拿大自然科学与工程研究理事会;

关键词：

complete neutrality; Dirichlet distributions; Liouville distribution; polynomial regression; reverse rule; stochastic representation; total positivity;

D O I：

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

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

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. © 1990.

引用

页码：95 / 102

页数：8

共 5 条

[1] MULTIVARIATE LIOUVILLE DISTRIBUTIONS
GUPTA, RD
RICHARDS, DS
[J]. JOURNAL OF MULTIVARIATE ANALYSIS, 1987, 23 (02) : 233 - 256
[2] CLASSES OF ORDERINGS OF MEASURES AND RELATED CORRELATION INEQUALITIES - .2. MULTIVARIATE REVERSE RULE DISTRIBUTIONS
KARLIN, S
RINOTT, Y
[J]. JOURNAL OF MULTIVARIATE ANALYSIS, 1980, 10 (04) : 499 - 516
[3] CLASSES OF ORDERINGS OF MEASURES AND RELATED CORRELATION INEQUALITIES .1. MULTIVARIATE TOTALLY POSITIVE DISTRIBUTIONS
KARLIN, S
RINOTT, Y
[J]. JOURNAL OF MULTIVARIATE ANALYSIS, 1980, 10 (04) : 467 - 498
[4] Lau K.S., 1982, SANKHYA SER A, P72
[5] A CHARACTERIZATION OF DIRICHLET DISTRIBUTIONS
RAO, BV
SINHA, BK
[J]. JOURNAL OF MULTIVARIATE ANALYSIS, 1988, 25 (01) : 25 - 30

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