EXTREME VALUE DISTRIBUTION FOR THE LARGEST CUBE IN A RANDOM LATTICE

被引：18

作者：

DARLING, RWR

WATERMAN, MS

机构：

[1] Univ of Southern California, Dep of, Mathematics, Los Angeles, CA, USA, Univ of Southern California, Dep of Mathematics, Los Angeles, CA, USA

来源：

SIAM JOURNAL ON APPLIED MATHEMATICS | 1986年 / 46卷 / 01期

关键词：

D O I：

10.1137/0146010

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Suppose that the sites of a finite d-dimensional lattice (d greater than equivalent to 2) of side n are occupied by independent, identically distributed random variables with value 0 or 1. The length of the side of the largest cube of 1's is found to have (approximately) an integerized extreme value distribution. The distribution becomes increasingly concentrated on three consecutive integers, as n increases. Applications to clustering are discussed.

引用

页码：118 / 132

页数：15

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