区间截断情况下, 分布函数估计及其收敛速度

The Estimation of Distribution Function\\and Its Convergent Rate with Interval Censored Data

摘要: 首先将文11的结论推广到任意k点均匀分布(k≥3), 然后用k点均匀分布的累积分布函数去逼近连续总体的分布函数, 在适当的条件下, 证明了用区间数据估计出的分布函数收敛速度为O(n)^{^-2/9}.

Abstract: This paper generalizes the result in 11 to the k-point uniform distribution. With this result, we then propose a procedure to approximate the cumulative distribution functions of continuous variables with k-point uniform distribution functions. It is also proved that the convergence rate of the distribution functions estimated from the interval data is O(n^{)^-2/9} under suitable conditions.