A new method for estimating finite‐population quantiles using auxiliary information
Tak K. Mak, Anthony Y. C. Kuk · Canadian Journal of Statistics · 1993
Abstract A computationally simple method for estimating finite‐population quantiles in the presence of auxiliary information is proposed. An algorithm is also found for implementing related approaches for estimating quantiles, including that of Rao et al. (1990), obtained from inverting difference‐type estimators of the distribution function. The proposed estimation procedure can be seen as a one‐step iteration of the suggested algorithm and is asymptotically equivalent to the limiting estimator. In particular, the proposed method yields a simple and efficient way of approximating Rao et al.'s estimator. Simulation studies based on two real populations show that the approximation can be very satisfactory even for small to moderate samples.