Models with a Sill, or Transition Models

The sill value of a transition structure is the a priori variance of the random function $Z({/boma x})$ which is second-order stationary and has a covariance $C({/boma h}) = /gamma(/infty) - /gamma({/boma h})$.

The models presented below have been normed to 1, i.e., they correspond to random functions with unit a priori variance:

To obtain a model with a sill $C(0) = C /neq 1$, it is enough to multiply the given expressions for $/gamma({/boma h})$ or $C({/boma h})$ by the constant value $C$.