Bayesian function-on-function regression for multilevel functional data
نویسندگان
چکیده
منابع مشابه
Bayesian function-on-function regression for multilevel functional data.
Medical and public health research increasingly involves the collection of complex and high dimensional data. In particular, functional data-where the unit of observation is a curve or set of curves that are finely sampled over a grid-is frequently obtained. Moreover, researchers often sample multiple curves per person resulting in repeated functional measures. A common question is how to analy...
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1 Appendix B: Additional proofs of theorems . . . . . . . . . . . . . . . 2 1.1 Proof of Theorem 4.2 . . . . . . . . . . . . . . . . . . . . . . . . . 2 1.2 Proof of Theorem 4.3 . . . . . . . . . . . . . . . . . . . . . . . . . 17 2 Appendix D: Proofs of technical lemmas . . . . . . . . . . . . . . . . . 21 3 Appendix C: Additional simulation . . . . . . . . . . . . . . . . . . . . 44 4 Appendi...
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A general framework for smooth regression of a functional response on one or multiple functional predictors is proposed. Using the mixed model representation of penalized regression expands the scope of function-on-function regression to many realistic scenarios. In particular, the approach can accommodate a densely or sparsely sampled functional response as well as multiple functional predicto...
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ژورنال
عنوان ژورنال: Biometrics
سال: 2015
ISSN: 0006-341X
DOI: 10.1111/biom.12299