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Estimating the population median using only a central subset of observations
Author(s) -
Huang J.S.,
Lin G.D.
Publication year - 2004
Publication title -
australian and new zealand journal of statistics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.434
H-Index - 41
eISSN - 1467-842X
pISSN - 1369-1473
DOI - 10.1111/j.1467-842x.2004.00342.x
Subject(s) - median , mathematics , estimator , statistics , population , population mean , truncated mean , sample (material) , sample mean and sample covariance , demography , chemistry , geometry , chromatography , sociology
Summary In estimating the population median, it is common to encounter estimators which are linear combinations of a small number of central observations. Sample medians, sample quasi medians, trimmed means, jackknifed (and delete‐ d jackknifed) medians and jackknifed quasi medians are all familiar examples. The objective of this paper is to show that within this class the quasi medians turn out to have the best asymptotic mean squared error.