n维椭球体上均匀分布的参数估计

Parameter Estimation of Uniform Distribution on n Dimensional Ellipsoid

均匀分布是概率论中一种重要的分布,广泛应用于自然科学的各个领域。研究了n维椭球体上均匀分布的参数估计问题,通过球体的相关结论,得到了所有未知参数以及n维椭球体体积的矩估计,并且通过变换得出了参数的极大似然估计。

Uniform distribution is an important distribution in probability theory. It is widely used in various fields of natural science. The parameter estimation of uniform distribution on n dimensional ellipsoid is discussed for obtaining the moment estimation of some unknown pa- rameters and the volume of n dimensional ellipsoid. The maximum likelihood estimation is ob- tained through transformation.