On truncated bivariate discrete distributions: A unified treatment

被引：11

作者：

Piperigou, VE ^{[1
]}

Papageorgiou, H ^{[1
]}

机构：

[1] Univ Athens, Dept Math, Athens 15784, Greece

来源：

METRIKA | 2003年 / 58卷 / 03期

关键词：

truncated distributions; probability generating function; marginal; conditional distributions; bivariate Thomas; intervened Poisson distributions;

D O I：

10.1007/s001840200239

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：

A unified treatment of three types of zero class truncation for bivariate discrete distributions is presented. Using the probability generating function approach, various properties of the truncated distributions are examined in association with the corresponding properties of the initial complete form of the distribution. Expressions for moments and conditional distributions are also obtained. Bivariate versions of the Thomas and the Intervened Poisson distributions are introduced and used as illustrative examples.

引用

页码：221 / 233

页数：13

共 16 条

[1] [Anonymous], 1984, METRIKA, DOI DOI 10.1007/BF01915193
[2] ON SOME BIVARIATE PROBABILITY-MODELS APPLICABLE TO TRAFFIC ACCIDENTS AND FATALITIES
CACOULLOS, T
PAPAGEORGIOU, H
[J]. INTERNATIONAL STATISTICAL REVIEW, 1980, 48 (03) : 345 - 356
[3] ESTIMATION IN A TRUNCATED BIVARIATE POISSON-DISTRIBUTION
DAHIYA, RC
[J]. COMMUNICATIONS IN STATISTICS PART A-THEORY AND METHODS, 1977, 6 (02): : 113 - 120
[4] HAMDAN MA, 1972, TECHNOMETRICS, V14, P33
[5] Johnson N.L., 1997, DISCRETE MULTIVARIAT
[6] Johnson N.L., 1992, UNIVARIATE DISCRETE
[7] Kocherlakota K., 1992, BIVARIATE DISCRETE D
[8] THE BIVARIATE LOGARITHMIC SERIES DISTRIBUTION
KOCHERLAKOTA, S
KOCHERLAKOTA, K
[J]. COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 1990, 19 (09) : 3387 - 3432
[9] KOCHERLAKOTA S, 1998, ENCY STAT SCI UPDATE, V2, P68
[10] Mahfoud M, 1982, Statistics and Probability: Essays in honor of C.R. Rao, P479

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