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相关估计显著水平的Monte Carlo模拟检验
引用本文:周永宏,郑大伟.相关估计显著水平的Monte Carlo模拟检验[J].测绘学报,1999,28(4):313-318.
作者姓名:周永宏  郑大伟
作者单位:中国科学院上海天文台,上海,200030
基金项目:国家攀登计划,中国科学院基金 
摘    要:相关分析技术是多种研究领域常用的数值处理工具,本文应用蒙特 罗方法,通过大量的数值计算,获得一个容量大,稳定性好的相关系数临界值表。对于数字滤波的情形,蒙特卡罗模拟结果表明,样本自由度降低到滤波前的x分之一。其中,x为奈魁斯特频率与滤波器通频带宽度的比值。文中还给出两个资料分析的应用实便。

关 键 词:相关系数  相关检验  蒙特卡罗方法  数字滤波
修稿时间:1999-01-03

Monte Carlo Simulation Tests of Correlation Significance Levels
ZHOU Yong-hong,ZHENG Da-wei.Monte Carlo Simulation Tests of Correlation Significance Levels[J].Acta Geodaetica et Cartographica Sinica,1999,28(4):313-318.
Authors:ZHOU Yong-hong  ZHENG Da-wei
Abstract:The correlation analysis technique has been widely used as a data processing tool in many research areas. In this paper, the Monte Carlo method and large quantity of numerical computations were employed to acquire a threshold value table of correlation coefficients with high capacity and good stability. With respect to the filtering, the degree of freedom would reduce to 1/x times of the initial, with x being the f n to f p ratio ( f n is the Nyquist frequency and f p the frequency bandwidth passed), which was properly demonstrated by Monte Carlo tests. In addition, two examples of practical data analysis were presented.
Keywords:correlation coefficient  correlation test  Monte Carlo Method  digital filter
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