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检验两个协方差矩阵相等的若干统计量的渐近分布
The asymptotic non-null distributions of four statistics, used for testing the hypothesis Ho: $\Sigma_1=\Sigma_2$ , are developed. These expansions are obtained by the partial differential equations method of Muirheard (Ann. Math. Statist. 41 1002-1010). The procedure permits a simple extension of the results of Pillai and Nagarsenker (J. Multivariate Anal. 2 96-114).
二元负二项分布的参数估计
Summary Edwards and Gurland (1961) and Subrahmaniam (1966) have considered a correlated model as an alternative to the Bates and Neyman (1952) model, appropriate in the theory of accident proneness. The latter has presented a test for suitability of Bates–Neyman model against the alternative of the correlated model. Edwards and Gurland, on the other hand, are mainly concerned with the estimation of the parameters. Unfortunately, they are restricted to moments estimators…
多元Behrens–Fisher问题
This paper is concerned with the relative merits of statistical procedures for the classical Behrens-Fisher problem in the p-dimensional case. There are three such methods considered here: (i) the approximate degrees-of-freedom solution put forward by Yao (1965), (ii) James's (1954) asymptotic series solution and (iii) Bennett's (1951) extension of Soheffé's (1943) solution to the univariate problem. Monte-Carlo studies are made of the level of significance and power…