@article {Chiou:May 2003:1369-7412:405, author = "Chiou J-M.", author = "Muller H-G.", author = "Wang J-L.", title = "Functional quasi-likelihood regression models with smooth random effects", journal = "Journal of the Royal Statistical Society: Series B (Statistical Methodology)", volume = "65", year = "May 2003", abstract = "Summary.

We propose a class of semiparametric functional regression models to describe the influence of vector-valued covariates on a sample of response curves. Each observed curve is viewed as the realization of a random process, composed of an overall mean function and random components. The finite dimensional covariates influence the random components of the eigenfunction expansion through single-index models that include unknown smooth link and variance functions. The parametric components of the single-index models are estimated via quasi-score estimating equations with link and variance functions being estimated nonparametrically. We obtain several basic asymptotic results. The functional regression models proposed are illustrated with the analysis of a data set consisting of egg laying curves for 1000 female Mediterranean fruit-flies (medflies).", pages = "405-423(19)", url = "http://www.ingentaconnect.com/content/bpl/rssb/2003/00000065/00000002/art00005" doi = "doi:10.1111/1467-9868.00393" }