Free‐knot spline smoothing for functional data | Zendy

Gervini Daniel | Zendy

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Free‐knot spline smoothing for functional data

Author(s) -

Gervini Daniel

Publication year - 2006

Publication title -

journal of the royal statistical society: series b (statistical methodology)

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 6.523

H-Index - 137

eISSN - 1467-9868

pISSN - 1369-7412

DOI - 10.1111/j.1467-9868.2006.00561.x

Subject(s) - estimator , smoothing spline , knot (papermaking) , smoothing , spline (mechanical) , mathematics , nonparametric regression , statistics , engineering , structural engineering , chemical engineering , bilinear interpolation , spline interpolation

Summary. The paper introduces free‐knot regression spline estimators for the mean and the variance components of a sample of curves. The asymptotic distribution of the mean estimator is derived, and asymptotic confidence bands are constructed. A comparative simulation study shows that free‐knot splines estimate salient features of the functions (such as sharp peaks) more accurately than smoothing splines. This adaptive behaviour is also illustrated by an analysis of weather data.

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