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A new method for estimating finite‐population quantiles using auxiliary information
Author(s) -
Mak Tak K.,
Kuk Anthony
Publication year - 1993
Publication title -
canadian journal of statistics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.804
H-Index - 51
eISSN - 1708-945X
pISSN - 0319-5724
DOI - 10.2307/3315655
Subject(s) - quantile , estimator , mathematics , simple (philosophy) , population , function (biology) , mathematical optimization , limiting , distribution (mathematics) , algorithm , statistics , mathematical analysis , engineering , mechanical engineering , philosophy , demography , epistemology , evolutionary biology , sociology , biology
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.