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矩形和椭圆内均匀分布随机点定理及应用

李旭东 赵雪娇

成都理工大学学报(自然科学版)2012,Vol.39Issue(5):555-558,4.
成都理工大学学报(自然科学版)2012,Vol.39Issue(5):555-558,4.

矩形和椭圆内均匀分布随机点定理及应用

Theorems of uniformly distributed stochastic points in rectangle and ellipse and their application

李旭东 1赵雪娇1

作者信息

  • 1. 西华大学数学与计算机学院,成都610039
  • 折叠

摘要

Abstract

Firstly, this paper gives the theorem to generate a given distribution random number by using uniform distribution random numbers in [0, 1] region. This theorem serves as the theoretical foundation to generate stochastic points in regular plane regions. Secondly, it presents the related theorems to generate the uniform distribution stochastic points in rectangular and elliptic regions and proves the two theorems by using the relationship between united distribution and marginal distribution of two dimensional random vectors, respectively. The nodes in the simulation system of wireless networks are generated by the new algorithm.

关键词

随机数/随机点/均匀分布/无线网络

Key words

random number/ stochastic point/ uniform distribution/ wireless network

分类

数理科学

引用本文复制引用

李旭东,赵雪娇..矩形和椭圆内均匀分布随机点定理及应用[J].成都理工大学学报(自然科学版),2012,39(5):555-558,4.

基金项目

国家自然科学基金资助项目(60773035) (60773035)

西华大学重点实验室开放研究基金资助项目(S2jj2011-020) (S2jj2011-020)

成都理工大学学报(自然科学版)

OA北大核心CSCDCSTPCD

1671-9727

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