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简单线性回归的加权秩统计量
This article is concerned with statistical inferences for the slope parameter β in the simple linear regression model. Rank procedures are proposed which extend the procedures of Theil and Sen by using weights for the pairwise slopes. Estimation, confidence interval, and hypothesis testing problems are considered.
位置参数估计的大偏差比较
This paper considers the estimation of a location parameter $\theta$ in a one-sample problem. The asymptotic performance of a sequence of estimates $\{T_n\}$ is measured by the exponential rate of convergence to 0 of $\max \{P_\theta(T_n < \theta - a), P_\theta(T_n > \theta + a)\}, \text{say} e(a).$ This measure of asymptotic performance is equivalent to one considered by Bahadur (1967). The optimal value of $e(a)$ is given for translation invariant estimates. Some…
经验测度的大偏差概率
Sanov's theorem on the asymptotic behavior of probabilities of large deviations for an empirical probability distribution is established under different conditions than previously given by Sanov, Hoadley and Stone. The new conditions are based on likelihood ratio approximations rather than on multinomial approximations. It is shown that these conditions are strictly more general than those of Stone.