Three questions, in increasing order of generality...

    1.  Does a general method exist for calculating the expected 
standard deviation of N samples taken from an arbitrary, known 
probability distribution?

    2.  Does a general method exist for calculating the expected 
distribution of standard deviations of repeated trials of N samples 
taken from an arbitrary, known probability distribution?

    3.  Does a general method exist for calculating the expected 
distribution of any of the moments of repeated trials of N samples taken 
from an arbitrary, known probability distribution?

                                                                         
                                             -- Andrew

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