Relations between Renyi Distance and Fisher 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：

Exponentialy twisted family; Fisher information; Renyi information;

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：

In this paper, we first show that Renyi distance between any member of a parametric family and its perturbations, is proportional to its Fisher information. We, then, prove some relations between the Renyi distance of two distributions and the Fisher information of their exponentially twisted family of densities. Finally, we show that the partial ordering of families induced by Renyi distance is the same as that induced by Fisher information.

引用

页码：25 / 37

页数：13

共 50 条

[31] ON TWO PROPERTIES OF THE FISHER INFORMATION
Rougerie, Nicolas
KINETIC AND RELATED MODELS, 2021, 14 (01) : 77 - 88
[32] Fisher information with respect to cumulants
Prasad, S
Menicucci, NC
IEEE TRANSACTIONS ON INFORMATION THEORY, 2004, 50 (04) : 638 - 642
[33] Invariance theorems for Fisher information
Smith, Murray D.
COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 2007, 36 (9-12) : 2213 - 2222
[34] On Nonparametric Estimation of the Fisher Information
Cao, Wei
Dytso, Alex
Fauss, Michael
Poor, H. Vincent
Feng, Gang
2020 IEEE INTERNATIONAL SYMPOSIUM ON INFORMATION THEORY (ISIT), 2020, : 2216 - 2221
[35] Fisher Information Among β-Ensembles
Ma, Yutao
ACTA MATHEMATICA SCIENTIA, 2025, 45 (02) : 493 - 513
[36] Fisher information in censored data
Wang, YH
He, SY
STATISTICS & PROBABILITY LETTERS, 2005, 73 (02) : 199 - 206
[37] On the realization of quantum Fisher information
Saha, Aparna
Talukdar, B.
Chatterjee, Supriya
EUROPEAN JOURNAL OF PHYSICS, 2017, 38 (02)
[38] INTRODUCTION TO QUANTUM FISHER INFORMATION
Petz, D.
Ghinea, C.
QUANTUM PROBABILITY AND RELATED TOPICS, 2011, 27 : 261 - 281
[39] Fisher information in record data
Glenn Hofmann
H. N. Nagaraja
Metrika, 2003, 57 : 177 - 193
[40] FISHER INFORMATION FOR THE MORSE OSCILLATOR
Chatterjee, Supriya
Sekh, Golam Ali
Talukdar, Benoy
REPORTS ON MATHEMATICAL PHYSICS, 2020, 85 (02) : 281 - 291

← 1 2 3 4 5 →