Estimation of parameters of finite population L-statistics
Articles
Dalius Pumputis
Lithuanian University of Educational Sciences, Lithuania
Andrius Čiginas
Vilnius University, Lithuania
Published 2013-07-25
https://doi.org/10.15388/NA.18.3.14013
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Keywords

finite population
L-statistic
variance
Edgeworth expansion
bootstrap
calibration

How to Cite

Pumputis D. and Čiginas A. (2013) “Estimation of parameters of finite population L-statistics”, Nonlinear Analysis: Modelling and Control, 18(3), pp. 327-343. doi: 10.15388/NA.18.3.14013.

Abstract

We consider the estimation of important parameters of a linear combination of order statistics (L-statistic) in a finite population, emphasizing the influence of auxiliary information on the estimation accuracy. Assuming that values of an auxiliary variable are available for all population units, we construct calibrated estimators for the variance of L-statistics and for the parameters, which define one-term Edgeworth expansions of distributions of L-statistics. The gain of the new estimators is demonstrated by the simulation study.

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