Nonparametric test for spatial geometric anisotropy | Zendy

Kȩstutis Dučinskas | Zendy; Lina Dreižienė | Zendy

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Nonparametric test for spatial geometric anisotropy

Author(s) -

Kȩstutis Dučinskas,

Lina Dreižienė

Publication year - 2010

Publication title -

lietuvos matematikos rinkinys

Language(s) - English

Resource type - Journals

eISSN - 2335-898X

pISSN - 0132-2818

DOI - 10.15388/lmr.2010.72

Subject(s) - test statistic , nonparametric statistics , mathematics , estimator , variogram , gaussian , statistics , statistic , isotropy , independence (probability theory) , anisotropy , goldfeld–quandt test , statistical hypothesis testing , z test , kriging , physics , quantum mechanics

Paper deals with a problem of testing isotropy against geometric anisotropy for Gaussian spatial data. The original simple test statistic based on directional empirical semivariograms is proposed. Under the assumption of independence of the classical semivariogram estimators and for increasing domain asymptotics, the distribution of test statistics is approximated by chi-squared distribution. The simulation experiments demonstrate the efficacy of the proposed test.

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