Effect of the finite size of population on the distribution of family names

被引：0

作者：

Sato, Kazunori ^{[1
]}

Oguri, Atsushi ^{[1
]}

机构：

[1] Shizuoka Univ, Hamamatsu, Shizuoka 4328561, Japan

来源：

JAPAN JOURNAL OF INDUSTRIAL AND APPLIED MATHEMATICS | 2007年 / 24卷 / 01期

关键词：

family names; distribution on logarithmic graph; finite size of population; random partitions;

D O I：

10.1007/BF03167511

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We examine the effect of finite size of population on the distribution of family names. As the result we observe that the power-law behavior of size-frequency distribution in Reed-Hughes ([15]) model collapses to show the convex shape on the logarithmic graph. We can approximately calculate the average distribution of size-frequency distribution of family names obtained by the similar method for Ewens sampling formula.

引用

页码：119 / 130

页数：12

共 50 条

[1] Effect of the finite size of population on the distribution of family names
Kazunori Sato
Atsushi Oguri
[J]. Japan Journal of Industrial and Applied Mathematics, 2007, 24 : 119 - 130
[2] Cooperation is less likely to evolve in a finite population with a highly skewed distribution of family size
Lessard, Sabin
[J]. PROCEEDINGS OF THE ROYAL SOCIETY B-BIOLOGICAL SCIENCES, 2007, 274 (1620) : 1861 - 1865
[3] On the distribution of family names
Reed, WJ
Hughes, BD
[J]. PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2003, 319 : 579 - 590
[4] THE SHAPE OF THE SIZE DISTRIBUTION OF AN EPIDEMIC IN A FINITE POPULATION
BALL, F
NASELL, I
[J]. MATHEMATICAL BIOSCIENCES, 1994, 123 (02) : 167 - 181
[5] Distribution of Korean family names
Kim, BJ
Park, SM
[J]. PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2005, 347 : 683 - 694
[6] DISTRIBUTION OF LINKAGE DISEQUILIBRIUM WITH SELECTION AND FINITE POPULATION-SIZE
AVERY, PJ
HILL, WG
[J]. GENETICAL RESEARCH, 1979, 33 (01): : 29 - 48
[7] Size Frequency Distribution of Japanese Given Names
Hayakawa, Ryo
Fukuoka, Yuta
Mizuguchi, Tsuyoshi
[J]. JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 2012, 81 (09)
[8] Vertical transmission of culture and the distribution of family names
Zanette, DH
Manrubia, SC
[J]. PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2001, 295 (1-2) : 1 - 8
[9] EFFECT OF A FINITE SIZE SOURCE ON ANGULAR DISTRIBUTION ATTENUATION COEFFICIENTS
HEIGHWAY, EA
MACARTHUR, JD
[J]. NUCLEAR INSTRUMENTS & METHODS, 1970, 79 (02): : 224 - +
[10] FINDING SIZE OF A FINITE POPULATION
HOLST, L
[J]. BIOMETRIKA, 1971, 58 (01) : 228 - &

← 1 2 3 4 5 →