THE STATISTICAL DISTRIBUTION OF THE MEAN SQUARED WEIGHTED DEVIATION

被引：641

作者：

WENDT, I

CARL, C

机构：

[1] Federal Institute for Geosciences and Natural Resources

来源：

CHEMICAL GEOLOGY | 1991年 / 86卷 / 04期

关键词：

D O I：

10.1016/0168-9622(91)90010-T

中图分类号：

P3 [地球物理学]; P59 [地球化学];

学科分类号：

0708 ; 070902 ;

摘要：

The probability distribution of the mean squared weighted deviation (MSWD) is derived and its dependence on degrees of freedom f is shown. The expectation (or mean) value of MSWD = 1 and is not a function of f. However, the +1-sigma-range of the expectation value of the MSWD decreases with increasing f. The standard deviation of the MSWD is sigma = +/- (2/f)1/2. If MSWD > 1 + 2(2/f)1/2, there is only < 5% probability that the data define an isochron. Use of MSWD as a criterion for accepting or rejecting the assumption of an isochron may be applied only if analytical errors sigma-x(i) and sigma-y(i) are well known.

引用

页码：275 / 285

页数：11

共 11 条

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