When do finite sample effects significantly affect entropy estimates?

被引：7
作者：
de Wit, TD
机构：
[1] Univ Aix Marseille 1, Ctr Phys Theor, F-13288 Marseille 9, France
[2] CNRS, Ctr Phys Theor, F-13288 Marseille 9, France
来源：
EUROPEAN PHYSICAL JOURNAL B | 1999年 / 11卷 / 03期
关键词：
D O I：
10.1007/s100510050963
中图分类号：
O469 [凝聚态物理学];
学科分类号：
070205 ;
摘要：
An expression is proposed for determining the error made by neglecting finite sample effects in entropy estimates. It is based on the Ansatz that the ranked distribution of probabilities tends to follow a Zipf scaling.
引用
收藏
页码：513 / 516
页数：4
相关论文
共 17 条
[1]  
[Anonymous], 1997, FRACTALES HASARD FIN
[2]  
BECK C, 1993, THERMODYNAMICS CHAOT
[3]  
Blahut R.E., 1987, Principles and Practice of Information Theory
[4]   FINITE-SAMPLE CORRECTIONS TO ENTROPY AND DIMENSION ESTIMATES [J].
GRASSBERGER, P .
PHYSICS LETTERS A, 1988, 128 (6-7) :369-373
[5]   Zipf's law and the effect of ranking on probability distributions [J].
Gunther, R ;
Levitin, L ;
Schapiro, B ;
Wagner, P .
INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS, 1996, 35 (02) :395-417
[6]  
HERZEL H, 1988, SYST ANAL MODEL SIM, V5, P435
[7]  
LI W, 1998, COMPLEXITY, V3, P10
[8]  
Mandelbrot B.B., 1997, FRACTALS SCALING FIN, P371, DOI DOI 10.1007/978-1-4757-2763-0_14
[9]   TESTS OF A STATISTICAL EXPLANATION OF THE RANK-FREQUENCY RELATION FOR WORDS IN WRITTEN-ENGLISH [J].
MILLER, GA ;
NEWMAN, EB .
AMERICAN JOURNAL OF PSYCHOLOGY, 1958, 71 (01) :209-218
[10]  
PARETO V, 1997, COURS EC POLITIQUE
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