Kriging creates holes in resulting raster

[TiffanyMiller]

Hi! I'm very new to spatial analysis, and I was wondering how to fix this problem. I have a set of points that convert very nicely into a raster with kriging, but a portion of the raster is missing. Why does this happen and how can I fix it?
I've put an example below. It probably has something to do with the large number of points in close proximity there.
Thanks!
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[TiffanyMiller]

Ok, so one way I've found so far is to employ Empirical Bayesian Kriging. The raster doesn't have any holes now, but is this the best way to do it?

[EricKrause]

There are several reasons that a kriging surface can have holes like that.  The most likely reason is that the searching neighborhood is too small.

Regardless, we recommend using empirical Bayesian kriging (EBK).  It almost always gives more accurate predictions than traditional kriging.