SOME EXACT SAMPLING DISTRIBUTIONS FOR VARIOGRAM ESTIMATORS

被引:14
作者
DAVIS, BM [1 ]
BORGMAN, LE [1 ]
机构
[1] UNIV WYOMING,DEPT STAT,LARAMIE,WY 82070
来源
JOURNAL OF THE INTERNATIONAL ASSOCIATION FOR MATHEMATICAL GEOLOGY | 1979年 / 11卷 / 06期
关键词
geostatistics; sampling distributions; variogram estimation;
D O I
10.1007/BF01031889
中图分类号
P5 [地质学];
学科分类号
0709 ; 081803 ;
摘要
For equally spaced observations from a one-dimensional, stationary, Gaussian random function, the characteristic function of the usual variogram estimator {Mathematical expression} for a fixed lag k is derived. Because the characteristic function and the probability density function form a Fourier integral pair, it is possible to tabulate the sampling distribution of a function of a {Mathematical expression} using either analytic or numerical methods. An example of one such tabulation is given for an underlying model that is simple transitive. © 1979 Plenum Publishing Corporation.
引用
收藏
页码:643 / 653
页数:11
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