A class of ratio estimators of a finite population mean using two auxiliary variables.

In sample surveys, it is usual to increase the efficiency of the estimators by the use of the auxiliary information. We propose a class of ratio estimators of a finite population mean using two auxiliary variables and obtain mean square error (MSE) equations for the class of proposed estimators. We...

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Main Authors:	Jingli Lu, Zaizai Yan
Format:	Article
Language:	English
Published:	Public Library of Science (PLoS) 2014-01-01
Series:	PLoS ONE
Online Access:	http://europepmc.org/articles/PMC3933591?pdf=render

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spelling	doaj-a909bf64385140ec81dc3291ca7416382020-11-25T02:29:57ZengPublic Library of Science (PLoS)PLoS ONE1932-62032014-01-0192e8953810.1371/journal.pone.0089538A class of ratio estimators of a finite population mean using two auxiliary variables.Jingli LuZaizai YanIn sample surveys, it is usual to increase the efficiency of the estimators by the use of the auxiliary information. We propose a class of ratio estimators of a finite population mean using two auxiliary variables and obtain mean square error (MSE) equations for the class of proposed estimators. We find theoretical conditions that make proposed family estimators more efficient than the traditional ratio estimator and the estimators proposed by Abu-Dayeh et al. using two auxiliary variables. In addition, we support these theoretical results with the aid of a numerical example.http://europepmc.org/articles/PMC3933591?pdf=render
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Jingli Lu Zaizai Yan
spellingShingle	Jingli Lu Zaizai Yan A class of ratio estimators of a finite population mean using two auxiliary variables. PLoS ONE
author_facet	Jingli Lu Zaizai Yan
author_sort	Jingli Lu
title	A class of ratio estimators of a finite population mean using two auxiliary variables.
title_short	A class of ratio estimators of a finite population mean using two auxiliary variables.
title_full	A class of ratio estimators of a finite population mean using two auxiliary variables.
title_fullStr	A class of ratio estimators of a finite population mean using two auxiliary variables.
title_full_unstemmed	A class of ratio estimators of a finite population mean using two auxiliary variables.
title_sort	class of ratio estimators of a finite population mean using two auxiliary variables.
publisher	Public Library of Science (PLoS)
series	PLoS ONE
issn	1932-6203
publishDate	2014-01-01
description	In sample surveys, it is usual to increase the efficiency of the estimators by the use of the auxiliary information. We propose a class of ratio estimators of a finite population mean using two auxiliary variables and obtain mean square error (MSE) equations for the class of proposed estimators. We find theoretical conditions that make proposed family estimators more efficient than the traditional ratio estimator and the estimators proposed by Abu-Dayeh et al. using two auxiliary variables. In addition, we support these theoretical results with the aid of a numerical example.
url	http://europepmc.org/articles/PMC3933591?pdf=render
work_keys_str_mv	AT jinglilu aclassofratioestimatorsofafinitepopulationmeanusingtwoauxiliaryvariables AT zaizaiyan aclassofratioestimatorsofafinitepopulationmeanusingtwoauxiliaryvariables AT jinglilu classofratioestimatorsofafinitepopulationmeanusingtwoauxiliaryvariables AT zaizaiyan classofratioestimatorsofafinitepopulationmeanusingtwoauxiliaryvariables
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A class of ratio estimators of a finite population mean using two auxiliary variables.

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