指数分布参数基于不完全样本的区间估计

摘要

A question of formation confidence interval for parameter of exponential distribution from incomplete observational data is discussed. A new confidence interval method is given. The pivot variable for confidence interval estimation of the parameter is constructed by making use of any two order statistics. The distribution function and probability density function of this pivot variable is obtained. An approximate confidence interval from large sample is obtained also.%对于不完全样本讨论指数分布总体参数的区间估计问题,利用完全样本中的任意两个顺序统计量构造出区间估计所需的枢轴变量,并讨论了相应的分布函数和密度函数.即使只知道样本观测值中任意的两个顺序统计量值,也可以计算出总体参数的置信区间.在大样本的情况下,给出了枢轴变量的近似分布,可以构造总体参数的大样本近似置信区间.