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位置参数 L 估计量与 M 估计量的渐近关系及效率AI 解读

This paper gives conditions under which $L$- and $M$-estimators of a location parameter have asymptotically the same distribution, conditions under which they are asymptotically equivalent and conditions under which $L$-estimators are asymptotically efficient relative to the Cramer-Rao lower bound. Our results differ from analogous results of Jung (1955), Bickel (1965), Chernoff, Gastwirth, Johns (1967), Jaeckel (1971) and Rivest (1978, 1982) in that we do not require that…

基于秩的高效估计快速计算方法的渐近效率AI 解读

A class of simple methods of computing asymptotically efficient estimates which are asymptotically equivalent to centers of the confidence intervals from rank tests for a location parameter is described. Values of the asymptotic efficiencies are given for populations other than that used for construction of a particular estimate.

快速计算基于秩的有效估计量及其渐近效率AI 解读

A class of simple methods of computing asymptotically efficient estimates which are asymptotically equivalent to centers of the confidence intervals from rank tests for a location parameter is described. Values of the asymptotic efficiencies are given for populations other than that used for construction of a particular estimate.

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若干分布无关离散程度检验的一致性札记AI 解读

In this paper the consistency of the two-sample tests of Sukhatme [6], Ansari and Bradley [1], Siegel and Tukey [5], and Mood [3] is investigated. Each of these tests is a distribution-free analogue of the F-test for testing the equality of the variances of two normal distributions. If the two samples are taken from continuous distributions with the same median (say 0) and distribution functions F(x) and F(x/a) respectively, the hypothesis tested states that a = 1 and the…

若干分布无关离散程度检验的一致性札记AI 解读

In this paper the consistency of the two-sample tests of Sukhatme [6], Ansari and Bradley [1], Siegel and Tukey [5], and Mood [3] is investigated. Each of these tests is a distribution-free analogue of the F-test for testing the equality of the variances of two normal distributions. If the two samples are taken from continuous distributions with the same median (say 0) and distribution functions F(x) and F(x/a) respectively, the hypothesis tested states that a = 1 and the…