随机删失单函数型指标模型条件众数估计的渐近正态性  

The Asymptotic Normal Distribution of Conditional Mode Estimation ofSingle Functional Index Model under Random Censorship

作　　者：丁海玲 凌能祥[1] DING Hai-ling;LING Neng-xiang(School of Mathematics, Hefei University of Technology, Hefei 230601, China)

机构地区：[1]合肥工业大学数学学院,合肥230601

出　　处：《大学数学》2021年第5期9-17,共9页College Mathematics

摘　　要：基于单函数型指标模型,构造了该模型下条件密度和条件众数的估计量,研究了α-混合函数型数据在响应变量随机删失的情况下的条件密度和条件众数估计量的渐近正态分布,用模拟研究说明单函数型指标模型条件众数估计的有效性.Based on the single function index model,this paper builds the estimators of conditional density and conditional mode,investigates the asymptotic normal distribution of the estimators of conditional density and conditional mode forα-mixing functional data when the response variable is randomly censored.Then it illustrates the effectiveness of conditional mode estimation of single function index model by simulation.

关 键 词：条件众数 单函数型指标模型 渐近正态分布 α-混合数据 响应变量随机删失 

分 类 号：O212.7[理学—概率论与数理统计]