Capra, William B.; Müller, Hans-Georg An accelerated-time model for response curves. (English) Zbl 0890.62025 J. Am. Stat. Assoc. 92, No. 437, 72-83 (1997). Summary: We propose a nonparametric method of data analysis for situations where the data consist of a sample of curves and a covariate is present. We assume the observed curves to be time-accelerated versions of a basic underlying stochastic process and assume the time acceleration factor for each observed process, determining the “eigenzeit,” to be a smooth function of the covariate. We discuss an iterative procedure to estimate the components of the model nonparametrically, using cross-validation to determine smoothing parameters using a leave-one-curve-out technique. Our example concerns time courses of mortality for a sample of cohorts of fruit flies. Cited in 13 Documents MSC: 62G07 Density estimation 62M99 Inference from stochastic processes 62P10 Applications of statistics to biology and medical sciences; meta analysis Keywords:covariate; longitudinal data; mortality; sample of curves; stochastic process; time transformation; cross-validation PDFBibTeX XMLCite \textit{W. B. Capra} and \textit{H.-G. Müller}, J. Am. Stat. Assoc. 92, No. 437, 72--83 (1997; Zbl 0890.62025) Full Text: DOI