Hello,
I am having a problem with mathematical expection.
In the derivation of kriging equations I commonly see
E[{wZ(x)**2}]
which literally means for the weighted linear combinaton
of Z(x) random variables, multiply every value in every
distribution by it's weight, then pool all the values
togethor into one distribution and take the mean of the
the new distribution to give the expected value. However
in the derivation of geostatistical equations, I see it is
common practice to then ignore the above, and square out
the brackets. What mathematical theorom allows you to
square out the brackets, and can anyone recommend a
undergraduate
statisitics text book, which explains working with expected
values,
and the background theory on why these procedures are
mathematically
correct.
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