摘要:In this paper, we discuss the moments and product moments of the order statistics in
a sample of size n drawn from the log-logistic distribution. We provide more compact
forms for the mean, variance and covariance of order statistics. Parameter estimation
for the log-logistic distribution based on order statistics is studied. In particular,
best linear unbiased estimators (BLUEs) for the location and scale parameters for the
log-logistic distribution with known shape parameter are studied. Hill estimator is
proposed for estimating the shape parameter.
关键词:log;logistic distribution; moments; order statistics; best linear unbiased estimators;