摘要
随着计算机的迅速发展,统计模拟常用于解决实际问题.在几何概率问题中,代表几何体网的构造十分重要。本文考虑四种不同的产生网的方法对三种不同几何体(球带、圆饼、圆环)进行模拟试验,得到一些有用的结果,并推荐数论方法,特别是好格子点(GLP)方法。本文指出代表几何体的网十分重要,若选择不当,可能会导致有偏估计。
Statistical simulation has been played an important role in applied statistics with the rapid development of computer.A net which represents the geometry domain is very important in estimation of geometric probabilities.This thesis employs four different methods of generating a net on the surface or inside of the three dimension ball for testing performance in the estimation.It shows that choosing a suitable net is very important issue in statistical simulation.It may output a biased estimator if the net is a wrong choice.
出处
《数理统计与管理》
CSSCI
北大核心
2014年第5期821-829,共9页
Journal of Applied Statistics and Management
基金
海南师范大学青年教师科研基金(QN1126)
海南省自然科学基金(112001)资助
关键词
统计模拟
数论方法
好格子点法
几何概率
均匀设计
number-theoretic methods
geometric probability
statistical simulation
good lattice method
uniform design
