logLikFun {DiceKriging}

Concentrated log-likelihood of a km object

Description

Returns the concentrated log-likelihood, obtained from the likelihood by plugging in the estimators of the parameters that can be expressed in function of the other ones.

Usage

logLikFun(param, model, envir=NULL)

Arguments

param

a vector containing the optimization variables.

model

an object of class km.

envir

an optional environment specifying where to assign intermediate values for future gradient calculations. Default is NULL.

Details

When there is no nugget effect nor observation noise, the concentrated log-likelihood is obtained by plugging in the variance and the trend MLE. Maximizing the likelihood is then equivalent to maximizing the concentrated log-likelihood with respect to the covariance parameters. In the other cases, the maximization of the concentrated log-likelihood also involves other parameters (the variance explained by the stationary part of the process for noisy observations, and this variance divided by the total variance if there is an unknown homogeneous nugget effect).

Value

The concentrated log-likelihood value.

Author(s)

O. Roustant, D. Ginsbourger, Ecole des Mines de St-Etienne

References

J.-S. Park and J. Baek (2001), Efficient computation of maximum likelihood estimators in a spatial linear model with power exponential covariogram, Computer Geosciences, 27 no. 1, 1-7.

See Also

logLik,km-method, km, logLikGrad