caa a22 4500 605519846 CHVBK 20210128100732.0 cr unu---uuuuu 210128e20151201xx s 000 0 eng 10.1007/s11009-014-9424-5 doi (NATIONALLICENCE)springer-10.1007/s11009-014-9424-5 Functional Wavelet-Based Modelling of Dependence Between Lupus and Stress [Elektronische Daten] [Ana Aguilera, Manuel Escabias, Francisco Ocaña, Mariano Valderrama] The power of functional linear regression to estimate a set of curves from others involved is studied in this work in the context of life sciences. The objective is to determine the relationship between the degree of lupus and the level of stress for patients suffering this autoimmune disease. Daily stress and lupus curves have a strong local behavior with missing data those days that a patient does not answer the corresponding test. Because of this, wavelet smoothing with an appropriate thresholding rule is considered. Then, functional principal component analysis of the response and predictor variables is used to reduce the dimension and solve the multicollinearity problem that affects the estimation of the functional linear regression model with functional response. Model selection is solved by using a criterion that selects those pairs of response/predictor components that explain the highest proportions of response variability. The performance of the proposed functional model is tested on simulated and real data. Springer Science+Business Media New York, 2014 Functional regression nationallicence Functional PCA nationallicence Wavelet approximation nationallicence Lupus nationallicence Aguilera Ana Department of Statistics and O.R. Faculty of Sciences, University of Granada, Campus de Fuentenueva, 18071, Granada, Spain aut Escabias Manuel Department of Statistics and O.R. Faculty of Communication and Documentation, University of Granada, Campus de Cartuja, 18071, Granada, Spain aut Ocaña Francisco Department of Statistics and O.R. Faculty of Pharmacy, University of Granada, Campus de Cartuja, 18071, Granada, Spain aut Valderrama Mariano Department of Statistics and O.R. Faculty of Pharmacy, University of Granada, Campus de Cartuja, 18071, Granada, Spain aut Methodology and Computing in Applied Probability Springer US; http://www.springer-ny.com 17/4(2015-12-01), 1015-1028 1387-5841 17:4<1015 2015 17 11009 https://doi.org/10.1007/s11009-014-9424-5 text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s11009-014-9424-5 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Aguilera Ana Department of Statistics and O.R. Faculty of Sciences, University of Granada, Campus de Fuentenueva, 18071, Granada, Spain aut NATIONALLICENCE 700 1- Escabias Manuel Department of Statistics and O.R. Faculty of Communication and Documentation, University of Granada, Campus de Cartuja, 18071, Granada, Spain aut NATIONALLICENCE 700 1- Ocaña Francisco Department of Statistics and O.R. Faculty of Pharmacy, University of Granada, Campus de Cartuja, 18071, Granada, Spain aut NATIONALLICENCE 700 1- Valderrama Mariano Department of Statistics and O.R. Faculty of Pharmacy, University of Granada, Campus de Cartuja, 18071, Granada, Spain aut NATIONALLICENCE 773 0- Methodology and Computing in Applied Probability Springer US; http://www.springer-ny.com 17/4(2015-12-01), 1015-1028 1387-5841 17:4<1015 2015 17 11009