一元有限总体样本均值分布的随机加权逼近

Random Weighting Approximation for Distribution of Sample Mean in One-dimensional Finite Population

对来自一元有限总体的简单随机抽样样本，其均值分布采用随机加权逼近，从模拟方差的角度说明随机加权法在抽样调查中的可用性，得到了 Ｅ｜Ｖａｒ＊ Ｄ_ｎ－Ｖａｒ Ｔ_ｎ｜＝Ｏ（１/ｎ）的良好结果。

In this paper, a method is adopted for the random weighting approximation for distribution of sample mean of simple random sampling in one-dimensional finite population. By simulating variance, it is illustrated that the random weighting method is available in sampling survey. The result, E | Var* D_n- VarT_n = O (1/n), is obtained.