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响应曲线的加速时间模型

An Accelerated-Time Model for Response Curves

Journal of the American Statistical Association · 1997
被引 10
ABS 4

中文导读

提出一种非参数方法分析曲线样本数据,假设观测曲线是基础随机过程的加速时间版本,加速因子是协变量的光滑函数,并通过交叉验证估计模型成分,以果蝇死亡率时间过程为例。

Abstract

Abstract 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.

计量经济学数学统计学计算机科学