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:本文引進投影積分經驗過程用于檢驗兩個或k個多元分布函數的相等性,自助法用于確定臨界值的逼近,數論方法有效地計算自動法確定的臨界值,且進行了一些模擬試驗