Goodness-of-Fit and Comparison Tests of the Kolmogorov-Smirnov Type for Bivariate Populations
二元总体的 Kolmogorov–Smirnov 型拟合优度与比较检验
Statistical tests consistent under any alternative are provided for both goodness-of-fit and two-sample comparisons. They are based on (1) the derivation of estimates for the tails of the probability distribution of some particular functionals of a Wiener sheet and (2) the use of a mapping that carries normalized empirical processes (asymptotically distributed as Brownian bridge) onto new processes that converge in distribution to a Wiener sheet. The proposed test statistics…