Dear All !
I have not erudition in the statistical methods and need of help.
For the sum of random numbers exist central limit theorem. And
mean value of sum
M[ Sum[ x_i,{i,1,N} ] / N ] = 0.5
where x_i uniformely distributed random number in interval [0,1].
Is the extension of central limit theorem for sum of square,
cube, ... exist?
I want receive mean value of the following sum:
M[ Sum[ x_i^s,{i,1,N} ] / N ]
where s = 2,3,4,... and 1/2.
Best regards
Nodar Shubitidze
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