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Linear functional regression: The case of fixed design and functional response
Authors:Antonio Cuevas  Manuel Febrero  Ricardo Fraiman
Abstract:The authors consider the problem of simple linear regression when the exogenous and endogenous variables are functional and the design is fixed. They propose an estimator for the underlying linear operator and prove its consistency under some conditions which ensure that the design is sufficiently informative. They consider the classical calibration (or inverse regression) problem and analyze a consistent estimator. They also give a simulation study. The proposed method is not hard to implement in practice.
Keywords:Calibration  consistent estimation  functional data  functional regression  linear operators  Yurinskii's inequality
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