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多阶段病例对照研究的有效估计AI 解读

In this paper we discuss the analysis of multi-phase, or multi-stage, case-control studies and present an efficient semiparametric maximum-likelihood approach that unifies and extends earlier work, including the seminal case-control paper by Prentice & Pyke (1979), work by Breslow & Cain (1988), Scott & Wild (1991), Breslow & Holubkov (1997) and others. The theoretical derivations apply to arbitrary binary regression models but we present results for logistic regression and…

病例增补样本下的二元回归模型拟合AI 解读

In a case-augmented study, measurements on a random sample from a population are augmented by information from an independent sample of cases, that is units with some characteristic of interest. We show that inferences about the effect of the covariates on the probability of being a case can be made by fitting a modified prospective likelihood. We also show that this procedure is fully efficient.

圆周数据的时间序列分析AI 解读

SUMMARY The paper considers the problem of modelling and analysing a time series of measurements which take the form of unit two-dimensional vectors. Several general classes of existing and new models are studied in terms of feasibility and flexibility. An approach is recommended which uses two of these classes, and which takes advantage of several standard time series algorithms that are available in modern software packages. An application is given to the analysis of a…

单位球面或超球面随机变量的相关系数AI 解读

A coefficient to measure association between two random variables, each distributed on the surface of the unit sphere in p-dimensional space, is proposed, analogous to an existing correlation coefficient for circular data. The sample estimate is studied in detail for the case p = 3, and comparisons are made with other statistics in current use. Some applications are given to studying remanent magnetization in rock samples.

单位球面或超球面随机变量的相关系数AI 解读

A coefficient to measure association between two random variables, each distributed on the surface of the unit sphere in p-dimensional space, is proposed, analogous to an existing correlation coefficient for circular data. The sample estimate is studied in detail for the case p = 3, and comparisons are made with other statistics in current use. Some applications are given to studying remanent magnetization in rock samples.

圆周数据的相关系数AI 解读

SUMMARY A coefficient to measure association between angular variables is discussed, its asymptotic distribution found, and its properties developed. Comparisons with other statistics in current use are made, and some examples given.

摘要暂缺

两个角度变量关联的非参数度量AI 解读

A general model is proposed for association between two angular variables, corresponding to monotone association between two linear variables. A U-statistic analogous to Kendall's tau is developed to estimate the degree of this association and its distributional properties studied. A simple modification of Mardia's rank angular-angular correlation coefficient is proposed as the appropriate analogue of Spearman's rho for assessing this association.

角度变量与线性变量关联的非参数度量AI 解读

General models of association between an angular and a linear variable, corresponding to monotone association between two linear variables, are proposed; U-statistics which are analogues of Kendall's tau are developed to measure such association, their distributions obtained, and their performances compared with other measures of angular-linear association.

角度变量与线性变量关联的非参数度量AI 解读

General models of association between an angular and a linear variable, corresponding to monotone association between two linear variables, are proposed; U-statistics which are analogues of Kendall's tau are developed to measure such association, their distributions obtained, and their performances compared with other measures of angular-linear association.