On Asymptotic Representations for Reduced Quantiles in Sampling from a Length-Biased Distribution *
Pranab Kumar Sen · Calcutta Statistical Association Bulletin · 1984
Nonparametric estimation of the quantiles of a distribution based on a sample from the corresponding length-biased distribution is considered. Along with some representations of this estimator in terms of averages of independent random variables, some limiting results are established. The case of reduced quantile processes is also treated briefly.