Potential Statistical Evidence in Experiments and Renyi Information

被引：0

作者：

Abbasnejad, M. ^{[1
]}

Arghami, N. R. ^{[1
]}

机构：

[1] Ferdowsi Univ Mashhad, Sch Math Sci, Dept Stat, Mashhad, Iran

来源：

JIRSS-JOURNAL OF THE IRANIAN STATISTICAL SOCIETY | 2006年 / 5卷 / 1-2期

关键词：

Law of likelihood; record values; Renyi information; strong true evidence; weak evidence;

D O I：

暂无

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：

Recently Habibi et al. (2006) defined a pre-experimental criterion for the potential strength of evidence provided by an experiment, based on Kullback-Leibler distance. In this paper, we investigate the potential statistical evidence in an experiment in terms of Renyi distance and compare the potential statistical evidence in lower (upper) record values with that in the same number of iid observations from the same parent distribution.

引用

页码：39 / 52

页数：14

共 20 条

[1]

Abbasnejad M., 2006, RELATIONS REN UNPUB

[2] Comparing the Fisher information in record values and IID observations [J].

Ahmadi, J ;

Arghami, NR .

STATISTICS, 2003, 37 (05) :435-441

[3] On the Fisher information in record values [J].

Ahmadi, J ;

Arghami, NR .

METRIKA, 2001, 53 (03) :195-206

[4]

Arnold B.C., 1998, RECORDS

[5]

Emadi M., 2003, J STAT THEORY APPL, V2, P165

[6] BREAKING RECORDS AND BREAKING BOARDS [J].

GLICK, N .

AMERICAN MATHEMATICAL MONTHLY, 1978, 85 (01) :2-26

[7] Statistical evidence in experiments and in record values [J].

Habibi, A. ;

Arghami, N. R. ;

Ahmadi, J. .

COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 2006, 35 (11) :1971-1983

[8] Comparing the Fisher information in record data and random observations [J].

Hofmann, G .

STATISTICAL PAPERS, 2004, 45 (04) :517-528

[9]

Kullback S., 1959, INFORM THEORY STAT

[10] Renyi statistics for testing composite hypotheses in general exponential models [J].

Morales, D ;

Pardo, L ;

Pardo, MC ;

Vajda, I .

STATISTICS, 2004, 38 (02) :133-147

← 1 2 →