具有部分缺失数据的两个Rayleigh分布总体参数的矩估计和检验

Moment Estimation and Hypothesis Testing for Two Population Parameters of Rayleigh Distributionwith Missing Data

利用矩估计的方法,研究两个Rayleigh分布总体观测数据以相同的概率缺失时的参数的估计问题及其假设检验问题.给出了参数的矩估计量,获得了检验两总体参数相等的检验统计量.证明了估计量的强相合性和渐近正态性.

Moment estimation method was used to study the estimation of Rayleigh distribution in the case of missing data parameters and hypothesis testing problems. The moment estimators of population parameters were given,and test statistics for two population parameters were got. Congruence and asymptotic normality of the estimators were proved in the case.