随机删失下回归函数最近邻估计的强收敛速度

Strong Convergence Rates of Nearest Neighbor Estimators for Regression Function under Random Censored

摘要: 针对随机右删失数据, 就截尾时间变量的分布已知和未知两种情况, 构造了一类非参数回归函数的最近邻估计, 在适当的条件下得到估计量的强收敛速度.

Abstract: A class of nearest neighbor estimators of the nonparametric regression function for randomly right-censored data are constructed under the known and unknown distribution of truncated time variable. The strong convergence rates of the estimators are obtained under suitable conditions.