Estimators Based on Order Statistics of Small Samples from a Three-Parameter Lognormal Distribution
基于小样本次序统计量的三参数对数正态分布估计
The expectations of order statistics of a logarithmic-normal distribution are expressed as functions which are linear in a location and a scale parameter but nonlinear in a shape parameter of the distribution. The regression of the observed small-sample order statistics on approximations to their expectations is considered and an iterative procedure is proposed which leads to approximate weighted least squares estimates of all three parameters. The performance of the…