Weak and strong quantile representations for randomly truncated data with applications, (Q1802438)

Suppose that we observe bivariate data \((X_ i,Y_ i)\) only when \(Y_ i \leq X_ i\) (left truncation) and denote by \(F\) the marginal d.f. of the \(X\). The authors derive a Bahadur-type representation for the quantile function of the pertaining product-limit estimator of \(F\). As an application they obtain confidence intervals and bands for quantiles of \(F\).