A finite population quantile estimation by unequal probability sampling
Communications in Statistics - Theory and Methods
Using a model-assisted approach, this paper studies asymptotically design-unbiased (ADU) estimation of a population “distribution function” and extends to deriving an asymptotic and approximate unbiased estimator for a population quantile from a sample chosen with varying probabilities. The respective asymptotic standard errors and confidence intervals are then worked out. Numerical findings based on an actual data support the theory with efficient results.
Chaudhuri, Arijit and Shaw, Purnima, "A finite population quantile estimation by unequal probability sampling" (2020). Journal Articles. 62.