Asymptotic Normality of an Entropy Estimator With Exponentially Decaying Bias

被引：12

作者：

Zhang, Zhiyi ^{[1
]}

机构：

[1] Univ N Carolina, Dept Math & Stat, Charlotte, NC 28223 USA

来源：

IEEE TRANSACTIONS ON INFORMATION THEORY | 2013年 / 59卷 / 01期

基金：

美国国家科学基金会;

关键词：

Asymptotic normality; nonparametric entropy estimation; Turing's formula;

D O I：

10.1109/TIT.2012.2217393

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

This paper establishes the asymptotic normality of an entropy estimator with an exponentially decaying bias on any finite alphabet. Furthermore, it is shown that the nonparametric estimator is asymptotically efficient.

引用

页码：504 / 508

页数：5

共 50 条

[1] A mutual information estimator with exponentially decaying bias
Zhang, Zhiyi
Zheng, Lukun
[J]. STATISTICAL APPLICATIONS IN GENETICS AND MOLECULAR BIOLOGY, 2015, 14 (03) : 243 - 252
[2] On "A mutual information estimator with exponentially decaying bias" by Zhang and Zheng
Zhang, Jialin
Chen, Chen
[J]. STATISTICAL APPLICATIONS IN GENETICS AND MOLECULAR BIOLOGY, 2018, 17 (02)
[3] Asymptotic Form of the Bias of Entropy Estimator for Bernoulli Measures
Timofeev, E. A.
[J]. AUTOMATIC CONTROL AND COMPUTER SCIENCES, 2010, 44 (07) : 467 - 475
[4] Best asymptotic normality of the kernel density entropy estimator for smooth densities
Department of Mathematical Sciences, University of Delaware, Newark, DE 19716, United States
[J]. IEEE Trans. Inf. Theory, 4 (1321-1326):
[5] Best asymptotic normality of the kernel density entropy estimator for smooth densities
Eggermont, PPB
LaRiccia, VN
[J]. IEEE TRANSACTIONS ON INFORMATION THEORY, 1999, 45 (04) : 1321 - 1326
[6] ON THE ASYMPTOTIC NORMALITY OF HILLS ESTIMATOR
CSORGO, S
VIHAROS, L
[J]. MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 1995, 118 : 375 - 382
[7] Dirac Operators with Exponentially Decaying Entropy
Gubkin, Pavel
[J]. CONSTRUCTIVE APPROXIMATION, 2024,
[8] ASYMPTOTIC NORMALITY OF THE KERNEL QUANTILE ESTIMATOR
FALK, M
[J]. ANNALS OF STATISTICS, 1985, 13 (01): : 428 - 433
[9] Asymptotic normality of a combined regression estimator
Fan, YQ
Ullah, A
[J]. JOURNAL OF MULTIVARIATE ANALYSIS, 1999, 71 (02) : 191 - 240
[10] ASYMPTOTIC NORMALITY OF A NONPARAMETRIC ESTIMATOR OF SAMPLE COVERAGE
Zhang, Cun-Hui
Zhang, Zhiyi
[J]. ANNALS OF STATISTICS, 2009, 37 (5A): : 2582 - 2595

← 1 2 3 4 5 →