What is variogram



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Description: Definition of variogram in the Definitions.net dictionary. Meaning of variogram. What does variogram mean? Information and translations of variogram in the most comprehensive dictionary definitions resource on the web.

In spatial statistics the theoretical variogram is a function describing the degree of spatial dependence of a spatial random field or stochastic process. It is defined as the variance of the difference between field values at two locations across realizations of the field: If the spatial random field has constant mean, this is equivalent to the expectation for the squared increment of the values between locations and. where itself is called the semivariogram. In the case of a stationary process, the variogram and semivariogram can be represented as a function of the difference between locations only, by the following relation: If the process is furthermore isotropic, then the variogram and semivariogram can be represented by a function of the distance only: The indexes or are typically not written. The terms are used for all three forms of the function. Moreover, the term "variogram" is sometimes used to denote the semivariogram, and the symbol is sometimes used for the variogram, which brings some confusion.

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