Mathematical Statistics

By Carolyn Pillers Dobler. 2002

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Metalearners for estimating heterogeneous treatment effects using machine learning (2017, background): “The Nadaraya–Watson and the k -nearest neighbors estimators can achieve this optimal rate (19, 21).”
Estimation of high-dimensional prior and posterior covariance matrices in Kalman filter variants (2007, methodology): “In particular, by implication of the invariance principle (e.g. Bickel and Doksum, 2001), choosing an appropriately parameterized taper function can be thought of as a maximum likelihood problem.”
Inpainting and Zooming Using Sparse Representations (2009, methodology): “Adopting a GLM framework, we assume that y has a density in the classical exponential family, taking the form [49]:”
On Judging the Significance of Differences by Examining the Overlap Between Confidence Intervals (2001, background): “By the dualitybetween 100(1 ¡ ¬ )% con dence intervals and signi cance tests at level ¬ (Bickel and Doksum 1977, p. 178), Figure 1.”