Bootstrap approximate of NA sample mean-value
Shihang Yu · Journal of Natural Science of Heilongjiang University · 2006
Bootstrap method of estimating probability distribution of random variables is available for sample of I.I.D.Bootstrap approximate in valid of NA sample mean-value is studied.In the case that sample is divided into k classes,negative association sample between strongly stationary and independent classes is first defined,then the jackknife virtual value Y_i(i=1…k) of_n is given the mass 1k.From which,the empirical distribution function F~*_k are obtained.The independent sample Y~*_1,…,Y~*_k is extracted from F~*_k.It is shown that if the distribution of(n((X_n)-μ)) is simulated by the conditional distribution of n((Y~*_k)-(X_n)),then the consistency holds.