Distributions of simple patterns in some kinds of exchangeable sequences

被引：7

作者：

Inoue, Kiyoshi ^{[1
]}

Aki, Sigeo ^{[2
]}

Hirano, Katuomi ^{[3
]}

机构：

[1] Seikei Univ, Fac Econ, Musashino, Tokyo 1808633, Japan

[2] Kansai Univ, Dept Math, Fac Engn Sci, Suita, Osaka 5648680, Japan

[3] Josai Univ, Fac Sci, Dept Math, Sakado, Saitama 3500295, Japan

来源：

JOURNAL OF STATISTICAL PLANNING AND INFERENCE | 2011年 / 141卷 / 08期

关键词：

Pattern; Scan; Run; Exchangeable multi-state trials; Enumeration schemes; Conditional distribution; Probability function; Probability generating function; Double generating function; WAITING TIME PROBLEMS; MULTISTATE TRIALS; JOINT DISTRIBUTIONS; MARKOV-CHAINS; BINARY DATA; URN MODEL; RUNS; STATISTICS; SYSTEMS; RELIABILITY;

D O I：

10.1016/j.jspi.2011.02.002

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：

In this article, we consider the distributions of simple patterns in some types of sequences of infinite exchangeable multi-state trials. The distributions on exchangeable multi-state trials are considered in terms of an extension of de Finetti's theorem. As an application of partially exchangeable sequences, distributions on a Markov exchangeable sequence are studied. Furthermore, we propose a new type of partially exchangeable sequence and examine its properties. In addition, we discuss the distribution theory in the case of the finite exchangeable sequences. The results presented here provide a wide framework for developing the exact distribution theory of simple patterns. Finally, some examples are given in order to illustrate our theoretical results. (C) 2011 Elsevier B.V. All rights reserved.

引用

页码：2532 / 2544

页数：13

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