__1__The B-procedure adds more information about the Population it derived than that the n-sized Source sample itself provides. __2__It is able to reconstruct the Population. __3__In the Population each sample item have the same probability to occur, therefore we can safely to sample from the Source with replacement with probability 1/n. __4__Repeated values (continuous Distribution) are as likewise than different ones. __5__The set of real samples could be perfectly represented with the n items the Source have. _____________
One normal (standard) item X( ) is simulated through the Box-Muller model. Repeating m=2000 times the Source is built and the Skewness and Kurtosis, |S0|, K0. The Source is bootstrapped, |S| and K evaluated.
Results: ______ p(|S0| > |S|) = 0.281 to 0.296 _______Z = -21.9 to -20.0 ______ p(K0 > K) = 0.562 to 0.584 _______Z = 5.6 to 7.6
Z tests both very significant: the Bootstrap data is not conformable with source ones. As expected . . .