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生物尺寸关系的断裂：含测量误差的截断半参数回归AI 解读

Biological size relationships (i.e., regression of one size variable on another) are typically monotone but often break down at extreme values of the variables. Here we study the way in which a plant's biomass is apportioned to reproductive and other life activities. Working with a theory proposed by Weiner (1988) based an analogy between a biological plant and an industrial plant leads to a truncated regression model formulation. We consider a dataset involving 542…

生物体大小关系的失效：含测量误差的截断半参数回归AI 解读

Biological size relationships (i.e., regression of one size variable on another) are typically monotone but often break down at extreme values of the variables. Here we study the way in which a plant's biomass is apportioned to reproductive and other life activities. Working with a theory proposed by Weiner (1988) based an analogy between a biological plant and an industrial plant leads to a truncated regression model formulation. We consider a dataset involving 542…

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贝叶斯回归模型中的稳健最高后验密度区域AI 解读

A Bayesian analysis of the linear regression model with only parts of the prior distribution specified or a robust Bayesian analysis lead to sets of posterior distributions. E. E. Leamer (1978) describes the region of posterior means for conjugate priors and varying prior covariance matrices. As an extension to Bayesian confidence sets (HPD regions) the authors introduce the concept of HiFi (high fiduciary) regions. The Hifi region is a union of HPD regions and is a tool for…

一般线性回归模型的回归诊断AI 解读

For the linear regression model y = Xβ + ε the local sensitivities of estimates for β are investigated with respect to a general error structure for the residuals ε. In particular, we define local sensitivity analysis as matrix derivatives of the general least squares (GLS) estimator with respect to changes in the weight matrix ∑-1, where ∑ = var(ε). The results are extensions of derivative formulas given in Belsley, Kuh, and Welsch (1980) for ordinary least squares (OLS)…