论文标题
循环数据的非参数多模式回归
Nonparametric multimodal regression for circular data
论文作者
论文摘要
引入了涉及循环响应和/或协变量的回归模型的多模式回归估计方法。回归估计量基于协变量上响应变量的条件密度的最大化。平均移位的条件版本和圆形平均移位算法用于获得回归估计器。研究了估计量的渐近特性,并讨论了带宽选择的问题。
Multimodal regression estimation methods are introduced for regression models involving circular response and/or covariate. The regression estimators are based on the maximization of the conditional densities of the response variable over the covariate. Conditional versions of the mean shift and the circular mean shift algorithms are used to obtain the regression estimators. The asymptotic properties of the estimators are studied and the problem of bandwidth selection is discussed.