Variogram

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High Quality Content by WIKIPEDIA articles! In spatial statistics the theoretical variogram 2 (x,y) is a function describing the degree of spatial dependence of a spatial random field or stochastic process Z(x). It is defined as the expected squared increment of the values between locations x and y (Wackernagel 2003): 2gamma(x,y)=Eleft( Z(x)-Z(y) ^2right) , where (x,y) itself is called the semivariogram. In case of a stationary process the variogram and semivariogram can be represented as a function s(h) = (0,0 + h) of the difference h = y x between locations only, by the following relation (Cressie 1993): (x,y) = s(y x). If the process is furthermore isotropic, then variogram and semivariogram can be represented by a function i(h): = s(he1) of the distance h= y-x only (Cressie 1993): (x,y) = i(h). The indexes i or s are typically not written. The terms are used for all three forms of the function. Moreover the term variogram is sometimes used for semivariogram and the symbol for the variogram, which brings some confusion.

Weitere Informationen

  • Allgemeine Informationen
    • GTIN 09786131121364
    • Editor Lambert M. Surhone, Miriam T. Timpledon, Susan F. Marseken
    • Titel Variogram
    • Format Fachbuch
    • EAN 9786131121364
    • Genre Musik
    • Anzahl Seiten 84
    • Herausgeber Betascript Publishing

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