A method for generating uniformly scattered points on the Lp-norm unit sphere and its applications

被引：0
|
作者：
Jiajuan Liang
Kai Wang Ng
机构：
[1] University of New Haven,Department of Quantitative Analysis
[2] The University of Hong Kong,Department of Statistics and Actuarial Science
来源：
Metrika | 2008年 / 68卷
关键词：
-norm spherical distribution; -norm uniform distribution; Stochastic representation; Uniformly scattered points;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
Tashiro (Ann Inst Stat Math 29:295–300, 1977) studied methods for generating unform points on the surface of the regular unit sphere. The Lp-norm unit sphere is a generalization of the regular unit sphere. In this paper we propose a method associated with an algorithm for generating uniformly scattered points on the Lp-norm unit sphere and discuss its applications in statistical simulation, representative points of a wide class of multivariate probability distributions and optimization problems. Some examples are illustrated for these applications.
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页码：83 / 98
页数：15
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