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Generalized martingale-residual processes for goodness-of-fit inference in Cox's type regression models

Cox 型回归拟合优度推断的广义鞅残差过程

In the paper a general class of stochastic processes based on the sums of weighted martingale-transform residuals for goodness-of-fit inference in general Cox's type regression models is studied. Their form makes the inference robust to covariate outliers. A weak convergence result for such processes is obtained giving the possibility of establishing the randomness of their graphs together with the construction of the formal $\chi^2$-type goodness-of-fit tests. By using the…

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On Testing the Equality in Dispersion of Two Probability Distributions

两个概率分布离散程度相等的检验

Based on independent random samples from two distributions we consider the problem of testing that the distributions are identical except for an unknown location parameter against the alternative that one is less dispersed than the other. The proposed tests are shown to be asymptotically distribution-free and consistent. The asymptotic relative efficiencies with respect to several other tests for some specific alternatives are given.

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On testing the equality in dispersion of two probability distributions

两个概率分布离散程度相等的检验

Based on independent random samples from two distributions we consider the problem of testing that the distributions are identical except for an unknown location parameter against the alternative that one is less dispersed than the other. The proposed tests are shown to be asymptotically distribution-free and consistent. The asymptotic relative efficiencies with respect to several other tests for some specific alternatives are given.

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