瑞利分布全样本下的统计分析

The Statistical Analysis of Rayleigh Distribution under the Full Sample

针对瑞利分布,在全样本场合下给出了参数的矩估计、极大似然估计和区间估计。与此同时还通过大量Monte-Carlo模拟分别考察了参数的点估计和区间估计的精度,从中可以看到参数的极大似然估计的精度比矩估计的好些。

For the Rayleigh distribution,the moment estimation,the maximum likelihood estimation and the interval estimation of the parameter are given based on the full sample.At the same time,the precisions of both point estimations and the interval estimation are investigated by a large number of Monte-Carlo simulations,respectively.From the result,the precisions of the maximum likelihood estimate for the parameter is better than that of the moment estimation can be seen.