Short answer is yes to everything.

middle length answer is that Normality is not required
for anything except where it is a basic assumption -
such as in simulation. It is necessary that the
distribution be well behaved (not skewed) and conform
to the Central Limit Theorem.

Having said that, I can't tell you where the join is
between 'well behaved' and not. It is usually fairly
obvious from probability plots and semi-variograms
when things start to get hairy.

Isobel Clark
http://geoecosse.bizland.com/BYOGeostats.htm

 

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