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Some exact sampling distributions for variogram estimators (1979)

Davis, Bruce M. ; Borgman, Leon E.

Springer

Mathematical geology 11 (1979), S. 643-653

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ISSN: 1573-8868

Keywords: geostatistics ; variogram estimation ; sampling distributions

Source: Springer Online Journal Archives 1860-2000

Topics: Geosciences , Mathematics

Notes: Abstract For equally spaced observations from a one-dimensional, stationary, Gaussian random function, the characteristic function of the usual variogram estimator $$\hat \gamma k$$ 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 $$\hat \gamma k$$ using either analytic or numerical methods. An example of one such tabulation is given for an underlying model that is simple transitive.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1007/BF01031889

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