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比较非正态连续分布的正交基方法AI 解读

We present an orthonormal bases approach for detecting general differences among continuous distributions. An unknown density function is represented by a finite vector of its estimated Fourier coefficients with respect to a suitable orthonormal basis. For a wide class of orthonormal bases, we establish asymptotic normality of the vector of estimated Fourier coefficients and propose an unbiased and consistent estimator of its asymptotic covariance matrix. Fourier coeffients…

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四种乘积极限估计量的偏差比较AI 解读

The bias of the product-limit estimator depends entirely on the method used to ‘complete’ the estimator beyond the last observation when it is censored. The bias has been investigated for the upper (Gill, 1980) and lower (Efron, 1967) bounds on these methods. Rather than using a completion method, investigators in practice commonly truncate the estimator using data-driven rules. The bias under two common truncation rules are considered: (i) truncating at the last observation…

乘积极限估计量四种版本的偏差比较AI 解读

SUMMARY The bias of the product-limit estimator depends entirely on the method used to 'complete' the estimator beyond the last observation when it is censored. The bias has been investigated for the upper (Gill, 1980) and lower (Efron, 1967) bounds on these methods. Rather than using a completion method, investigators in practice commonly truncate the estimator using data-driven rules. The bias under two common truncation rules are considered: (i) truncating at the last…

稳健估计与检验AI 解读

The Field of Statistics. Estimating Scale----Finite Sample Results. Estimating Scale----Asymptotic Results. Location--Dispersion Estimation. Testing for a Location Parameter. The Two--Sample Problem. Regression. Appendices. References. Author Index. Subject Index.

基于双权尺度估计量的偏离正态性检验AI 解读

The ratio of two estimators of variance is proposed as a test statistic for comparing normal versus long-tailed symmetric or skewed alternatives. The 90, 95, 97.5 and 99th percentage points are found through extensive simulations, and approximations for the 90 and 95th percentage points are given. The proposed test is compared to the use of √b1, b2, Shapiro & Wilk's W test. D'Agostino's test and Spiegelhalter's T' test. The proposed test outperforms all considered…

基于双权尺度估计量的偏离正态性检验AI 解读

The ratio of two estimators of variance is proposed as a test statistic for comparing normal versus long-tailed symmetric or skewed alternatives. The 90, 95, 97.5 and 99th percentage points are found through extensive simulations, and approximations for the 90 and 95th percentage points are given. The proposed test is compared to the use of √b1, b2, Shapiro & Wilk's W test. D'Agostino's test and Spiegelhalter's T' test. The proposed test outperforms all considered…

临床试验的三阶段序贯模型AI 解读

The sequential version of Colton's decision-theoretic model for comparing two medical treatments is modified by considering both the patients who are in the experiment and also the patients who do not participate in the experiment, while the experiment is in progress. The consideration of the patients who do not participate in the experiment leads to major changes in the restdts. Both the minimax and Bayesian solutions are obtained and are compared with Colton's equivalent…

样本变异系数的分位点AI 解读

This paper provides a simple formula for calculating percentage points of the sample coefficient of variation in the case of a normal parent distribution. The expression appears to be better than the existing approximations in the practical range of the population coefficient of variation V = óμ. The final product is a power series in V which agrees to four decimal places with an unpublished table of exact values.

样本变异系数的分位点计算AI 解读

This paper provides a simple formula for calculating percentage points of the sample coefficient of variation in the case of a normal parent distribution. The expression appears to be better than the existing approximations in the practical range of the population coefficient of variation V = óμ. The final product is a power series in V which agrees to four decimal places with an unpublished table of exact values.