The problem of hazard rate estimation under right-censored assumption has been investigated extensively. Integrated square error (ISE) of estimation is one of the most widely accepted measurements of the global performance for nonparametric kernel estimation. But there are no results available for ISE of hazard rate estimation under right-censored model with censoring indicators missing at random (MAR) so far. This paper constructs an imputation estimator of the hazard rate function and establish asymptotic normality of the ISE for the kernel hazard rate estimator with censoring indicators MAR. At the same time, an asymptotic representation of the mean integrated square error (MISE) is also presented. The finite sample behavior of the estimator is investigated via one simple simulation.

右删截假设下的危险率估计问题已被广泛研究。估计的集成平方误差（ISE）是用于非参数内核估计的全局性能的最广泛接受的度量之一。但是，到目前为止，在没有经过严格检查的指标（MAR）的情况下，右删失模型下的风险率估算ISE尚无可用的结果。构造了危险率函数的归因估计器，并建立了带有删失指标MAR的核危险率估计器的ISE的渐近正态性。同时，还提出了平均积分平方误差（MISE）的渐近表示。通过一个简单的模拟研究了估计器的有限样本行为。