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.

翻译：对涉及循环反应和/或共变的回归模型采用多模式回归估计方法; 回归估计方法以共变变量对响应变量的有条件密度最大化为基础; 使用中值转换和循环中值转换算法的有条件版本来获取回归估计值; 研究估计值的不适应性,并讨论带宽选择问题。