Abstract : we introduce some projected integrated empirical processes for testing the equality of two and k multivariate distributions . the bootstrap is used for determining the approximate critical values . we show that the bootstrap test is consistent . a number - theoretic method is used for efficient computation of the bootstrap critical values . some simulation results are also given 文摘:本文引進(jìn)投影積分經(jīng)驗(yàn)過(guò)程用于檢驗(yàn)兩個(gè)或k個(gè)多元分布函數(shù)的相等性,自助法用于確定臨界值的逼近,數(shù)論方法有效地計(jì)算自動(dòng)法確定的臨界值,且進(jìn)行了一些模擬試驗(yàn)