环形区域上的二维均匀分布及其估计

Two-dimensional even distribution and estimation in annular region

研究环形区域上的二维均匀分布及面积的估计问题。首先用极大似然法求出对应参数的估计量,再通过多个参数的估计量构造出区域面积的点估计量,在得到有较好结论的点估计量的基础上,最后借助面积这一常量对区域面积作出区间估计。

This paper studied the two-dimensional distributed annular region and estimated the size of the area. First we obtained with the corresponding maximum likelihood estimator of the parameters, and then the point estimator of the size of the area is constructed by the estimated number of parameters. On the basis of estimates having a better conclusion, finally, we can get the interval estimation of the size of the area with the constant area.