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相关曲线：随协变量取值变化的关联度量AI 解读

For experiments where the strength of association between a response variable $Y$ and a covariate $X$ is different over different regions of values for the covariate $X$, we propose local nonparametric dependence functions which measure the strength of association between $Y$ and $X$ as a function of $X = x$. Our dependence functions are extensions of Galton's idea of strength of co-relation from the bivariate normal case to the nonparametric case. In particular, a…

若干非线性模型中的估计AI 解读

Extensions of linear model contrasts to general and location-scale models are proposed. These extensions are defined in terms of shift functions which measure how much the variables from one population must be shifted to be aligned in distribution with the variables from another. A general estimate based on empirical distribution functions and three estimates appropriate for the location-scale model are considered and compared in terms of asymptotic relative efficiencies. An…

若干非线性模型中的估计AI 解读

Extensions of linear model contrasts to general and location-scale models are proposed. These extensions are defined in terms of shift functions which measure how much the variables from one population must be shifted to be aligned in distribution with the variables from another. A general estimate based on empirical distribution functions and three estimates appropriate for the location-scale model are considered and compared in terms of asymptotic relative efficiencies. An…

次序统计量线性组合的误差界AI 解读

A Berry-Esseen bound is obtained for trimmed linear combinations of order statistics. These linear combinations are written as the sum of a linear and a quadratic combination of independent exponentially distributed random variables plus a remainder term. The remainder term is shown to be of negligible order and Fourier methods are then employed to handle the linear and quadratic terms. The main theorem is also given in a version that more easily lends itself to applications.