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估计函数的窗口子抽样及其在回归模型中的应用AI 解读

We propose a subsampling method for estimating the asymptotic standard error of a statistic β n that is the solution to an estimating equation 1/n Σn j=1 Uj(Y j Xj, β) = 0 where the data Yj may be temporally or spatially correlated and the estimating function may depend on covariates Xj . A key statistic that we consider in detail is a generalized linear model regression coefficient computed under the assumption of independence. The availability of a consistent variance…

二元空间数据的复合似然方法AI 解读

Conventional geostatistics addresses the problem of estimation and prediction for continuous observations. But in many practical applications in public health, environmental remediation, or ecological research the most commonly available data are in the form of counts (e.g., number of cases) or indicator variables denoting above or below threshold values. Also, in many situations it is less expensive to obtain an imprecise categorical observation than to obtain precise…

Lorelogram：探索纵向分类响应依赖性的回归方法AI 解读

We propose flexible regression estimators of the marginal pairwise log-odds ratio measure of association for longitudinal categorical responses. The function that we estimate is the log-odds ratio analog of the correlogram; hence we name the function the lorelogram. Measuring the association of categorical responses on the log-odds scale allows ease of interpretation and allows pairwise association to remain unconstrained by the marginal means, a feature not shared by…

聚类有序测量的边际回归模型AI 解读

This article constructs statistical models for clustered ordinal measurements. We specify two regression models: one for the marginal means and one for the marginal pairwise global odds ratios. Of particular interest are problems in which the odds ratio regression is a focus. Simple assumptions about higher-order conditional moments give a quadratic exponential likelihood function with second-order estimating equations (GEE2) as score equations. But computational difficulty…