Recently, Li et al. (2012a,b) have presented two biased Optimal L-statistics Quantile Estimators (OLQEs). In this work, we present two unbiased versions of the two biased OLQEs. Similar to the biased OLQEs, the proposed unbiased OLQEs are able to accommodate a set of scaled populations and a...

This paper presents an L-statistics quantile estimator for estimating the pth quantile of a population which belongs to a set of location–scale distributions. The design of the weight vector of the estimator is formulated as a constrained optimization problem. The objective of the optimization...