A probabilistic analysis of some tree algorithms

被引：10

作者：

Mohamed, H ^{[1
]}

Robert, P ^{[1
]}

机构：

[1] INRIA, F-78153 Le Chesnay, France

来源：

ANNALS OF APPLIED PROBABILITY | 2005年 / 15卷 / 04期

关键词：

splitting algorithms; divide and conquer algorithms; unusual laws of large numbers; asymptotic oscillating behavior; data structures; tries; renewal theorem;

D O I：

10.1214/105051605000000494

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

In this paper a general class of tree algorithms is analyzed. It is shown that, by using an appropriate probabilistic representation of the quantities of interest, the asymptotic behavior of these algorithms can be obtained quite easily without resorting to the usual complex analysis techniques. This approach gives a unified probabilistic treatment of these questions. It simplifies and extends some of the results known in this domain.

引用

页码：2445 / 2471

页数：27

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