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When are relative variograms useful in geostatistics?
Authors:Noel Cressie
Institution:(1) Department of Statistics, Iowa State University, 50011 Ames, Iowa, USA;(2) Present address: Statistical Research Division, Bureau of the Census, 20233 Washington D.C., USA
Abstract:The relative variogram has been employed as a tool for correcting a simple kind of nonstationarity, namely that in which local variance is proportional to local mean squared. In the past, this has been linked in a vague way to the lognormal distribution, although if {Zt; t isin D}is strongly stationary and normal over a domain D,then clearly {exp (Zt); t isin D}will stillbe stationary, but lognormal. The appropriate link is made in this article through a universal transformation principle. More general situations are considered, leading to the use of a ldquoscaled variogram.rdquo
Keywords:delta method" target="_blank">gif" alt="delta" align="BASELINE" BORDER="0"> method  location-width plot  lognormal data  scaled variogram  universal transformation principle
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