Bayesian analysis of the multivariate Poisson distribution

被引：25

作者：

Tsionas, EG ^{[1
]}

机构：

[1] Council Econ Advisors, Minist Natl Econ, Athens 10180, Greece

来源：

COMMUNICATIONS IN STATISTICS-THEORY AND METHODS | 1999年 / 28卷 / 02期

关键词：

Gibbs sampling; data augmentation; multivariate probability mass function;

D O I：

10.1080/03610929908832305

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：

The paper presents a Bayesian analysis of the multivariate Poisson distribution, based on Gibbs sampling with data augmentation. This computational approach to the Bayesian integration problem, avoids explicit computation of the probability mass function via approximations or recursive calculations. The new method is shown to perform well in artificial examples as well as in an environmental pollution data set.

引用

页码：431 / 451

页数：21

共 46 条

[21] ON RECURRENCE RELATIONS FOR THE PROBABILITY FUNCTION OF MULTIVARIATE GENERALIZED POISSON-DISTRIBUTION [J].

KANO, K ;

KAWAMURA, K .

COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 1991, 20 (01) :165-178

[22]

Kawamura K., 1987, KODAI MATH J, V10, P231, DOI [10.2996/kmj/1138037418, DOI 10.2996/KMJ/1138037418]

[23]

Kawamura K., 1979, KODAI MATH J, V2, P337, DOI DOI 10.2996/KMJ/1138036064

[24]

Kawamura K., 1976, KODAI MATH SEM REP, V28, P1

[25]

Kawamura K, 1985, KODAI MATH J, V8, P70, DOI DOI 10.2996/kmj/1138036998

[26]

Loukas S., 1991, Applications of Mathematics, V36, P432

[27] THE INDEX OF DISPERSION-TEST FOR THE BIVARIATE POISSON-DISTRIBUTION [J].

LOUKAS, S ;

KEMP, CD .

BIOMETRICS, 1986, 42 (04) :941-948

[28] ON COMPUTER-SAMPLING FROM TRIVARIATE AND MULTIVARIATE DISCRETE-DISTRIBUTIONS [J].

LOUKAS, S ;

KEMP, CD .

JOURNAL OF STATISTICAL COMPUTATION AND SIMULATION, 1983, 17 (02) :113-123

[29]

LOUKAS S, 1993, ZASTOSOWANIE MATH, V21, P503

[30]

MADDALA G. S., 1983, ECONOMETRIC SOC MONO, V3

← 1 2 3 4 5 →