Kriging with inequality constraints

A Gaussian random field with an unknown linear trend for the mean is consid ered. Methods for obtaining the distribution of the trend coefficients give n exact data and inequality constraints are established, Moreover, the cond itional distribution for the random field at any location is calculated so that predictions using e.g. the expectation, the mode, or the median can be evaluated and prediction error estimates using quantiles or variance can b e obtained. Conditional simulation techniques are also provided.