On entropies for random partitions of the unit segment

被引：0

作者：

Bieniek, Milena ^{[1
]}

Szynal, Dominik ^{[2
]}

机构：

[1] Marie Curie Sklodowska Univ, Stat & Econometr Dept, Fac Econ, PL-20031 Lublin, Poland

[2] Marie Curie Sklodowska Univ, Inst Math, PL-20031 Lublin, Poland

来源：

KYBERNETIKA | 2008年 / 44卷 / 01期

关键词：

paired entropy; genetic entropy; alpha-entropy; random partitions; complete convergence;

D O I：

暂无

中图分类号：

TP3 [计算技术、计算机技术];

学科分类号：

0812 ;

摘要：

We prove the complete convergence of Shannon's, paired, genetic and a-entropy for random partitions of the unit segment. We also derive exact expressions for expectations and variances of the above entropies using special functions.

引用

页码：75 / 94

页数：20

共 25 条

[1] [Anonymous], 1975, TABLE SERIES PRODUCT
[2] CONVERGENCE RATES IN LAW OF LARGE NUMBERS
BAUM, LE
KATZ, M
[J]. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1965, 120 (01) : 108 - &
[3] BIENIEK M, 2004, INT J PURE APPL MATH, V13, P337
[4] ENTROPY DIFFERENTIAL METRIC, DISTANCE AND DIVERGENCE MEASURES IN PROBABILITY SPACES - A UNIFIED APPROACH
BURBEA, J
RAO, CR
[J]. JOURNAL OF MULTIVARIATE ANALYSIS, 1982, 12 (04) : 575 - 596
[5] ON A CLASS OF PROBLEMS RELATED TO THE RANDOM DIVISION OF AN INTERVAL
DARLING, DA
[J]. ANNALS OF MATHEMATICAL STATISTICS, 1953, 24 (02): : 239 - 253
[6] Sum-functions of spacings of increasing order
Ekström, M
[J]. JOURNAL OF STATISTICAL PLANNING AND INFERENCE, 2006, 136 (08) : 2535 - 2546
[7] ON A THEOREM OF HSU AND ROBBINS
ERDOS, P
[J]. ANNALS OF MATHEMATICAL STATISTICS, 1949, 20 (02): : 286 - 291
[8] Feller W., 1966, INTRO PROBABILITY TH, VII
[9] GOLDSTEIN S, 1974, B SOC SCI LETT LO 24, V4, P1
[10] Gradstein I.S., 1965, TABLES INTEGRALS SUM

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