缺失数据下区间数据均值的估计与检验

Estimating and testing the mean of interval data under missing data

在数据存在缺失条件下研究了区间数据均值的估计与检验问题,利用矩估计方法给出区间中心和区间半径均值的估计.在此基础上进一步研究了区间中心均值是否等于某一常数、区间半径均值是否等于某一常数以及区间中心和半径是否等于某一常值向量的检验问题.构造了检验统计量,给出了检验统计量的极限分布以及检验的拒绝域.此外,也通过随机模拟说明上述方法的可行性.

Parameter estimation and test ofinterval data mean with missing data is studied.The mean value of the interval center and the mean value of interval radius are estimated using the moment estimation method.On this basis,the test problems of whether the interval center mean is equal to a constant,whether the interval radius mean is equal to a constant and whether the interval center and radius are equal to a constant vector are further studied.The test statistics are constructed,and its limit distribution and the rejection domain of the test are given.In addition,we also demonstrate the feasibility of the above method through random simulation.