带有约束条件的Logistic分布参数的渐近置信估计

The asymptotic confidence estimation of Logistic distribution parameters with additional restrictions

基于带有约束条件的Logistic分布若干个样本分位数,建立线性回归模型,求出其分布参数的约束最小二乘估计,并证明此估计是参数渐近正态且渐近无偏估计,从而得到分布参数的渐近置信估计.

In the dissertation, the asymptotic confidence estimation of Logistic distribution parameters is studied with additional restrictions. The main method is based on several quantiles of Logistic distribution with additional restrictions simple sample, constrained LSE are proposed by linear regression ＇model, and it is proven that this estimate was the asymptotic normal and asymptotic unbiased estimation of distribution parameters. Then the asymptotic confidence estimation of the parameter is put forward.