Hierarchical Adaptive Regression Kernels for Regression With Functional Predictors
نویسندگان
چکیده
منابع مشابه
Hierarchical Adaptive Regression Kernels for Regression with Functional Predictors.
We propose a new method for regression using a parsimonious and scientifically interpretable representation of functional predictors. Our approach is designed for data that exhibit features such as spikes, dips, and plateaus whose frequency, location, size, and shape varies stochastically across subjects. We propose Bayesian inference of the joint functional and exposure models, and give a meth...
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Here we describe how to obtain an empirical estimate of the kernel mixture representation ωi, and thus an estimate of the summary vector θi = θ(ωi), for each subject i ∈ {1, . . . , n}. Here we assume the unnormalized Gaussian kernel (2). The natural estimate of β0i for a particular subject i is the average value of the functional predictor Wi(xik) over observations k; call this estimate β̂0i. E...
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ژورنال
عنوان ژورنال: Journal of Computational and Graphical Statistics
سال: 2013
ISSN: 1061-8600,1537-2715
DOI: 10.1080/10618600.2012.694765