Let (X1, Y1), (X2, Y2), ..., be two-dimensional random vectors which are independent and distributed as (X, Y). For 0p1, let[xi](p|x) be the conditionalpth quantile ofYgivenX=x; that is,[xi](p|x)=inf{y : P(Y[less-than-or-equals, slant]y|X=x)[greater-or-equal, slanted]p}. We...

The bias of L-estimators is investigated. A modified L-estimator is proposed which reduces the bias. The variances as well as the mean squared errors of the L-estimator and its modified version are compared.

Translational research studies often involve a central study (e.g. clinical trial, cohort of patients, etc.) and multiple investigators who are each interested in addressing different research questions using the same patient population. However, it is often impossible for the investigators to...

This paper uses a connection between bootstrap and the bi-partite matching to study the rate of convergence of the bootstrapped empirical measure to its original.