Jelaskan Sifat-sifatna dari Variogram dalam bahasa sunda

According to (Cressie 1993, Chiles and Delfiner 1999, Wackernagel 2003) the théoretical variogram has the following properties:

The semivariogram is nonnegative , since it is the expectation of a square.

The semivariogram   at distance 0  is always 0, since .

A function is a semivariogram if and only if it is a conditionally negative definite function, i.e. for all weights  subject to  and locations  it holds:

which corresponds to the fact that the variance  of  is given by the negative of this double sum and must be nonnegative.

As a consequence the semivariogram might be non continuous only at the origin. The height of the jump at the origin is sometimes referred to as nugget or nugget effect.

If the covariance function of a process exists it is related to variogram by

If a stationary random field has no spatial dependence (i.e.  if ) the semivariogram is the constant  everywhere except at the origin, where it is zero.