  In simulation, Median Polish Kriging is a technique used to predict
unobserved data points in two-dimensional space. The linear behavior of the
traditional Median Polish Kriging in the estimation of the mean function in a
high grid makes the interpolation of O(1) which has a low order in the
prediction and that leads to a high prediction error. Therefore, an improvement
in the estimation of the mean function has been introduced using Biharmonic
spline interpolation and the new technique has been called Improved Median
Polish Kriging (IMPK). The IMPK has been applied to the standard coal-ash data
in two-dimension. The novel method gave much better results according to the
cross validation results that were obtained when compared with the traditional
Median Polish Kriging.

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