Efficient estimation of population mean using incomplete survey data on study and auxiliary characteristics

Efficient estimation of population mean using incomplete survey data on study and auxiliary characteristics

This paper considers the problem of estimating the population mean using the ratio and product methods when some observations in the sample data are missing at random and the population mean of the auxiliary characteristic is not known. Besides an unbiased estimator arising from the total discard of...

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Main Authors: Helge Toutenburg, V. K. Srivastava
Format: Article
Language:English
Published: University of Bologna 2007-10-01
Series:Statistica
Online Access:http://rivista-statistica.unibo.it/article/view/350
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spelling doaj-3971f70a2eb44fe295cff2cc268e44f42020-11-25T01:58:33ZengUniversity of BolognaStatistica0390-590X1973-22012007-10-0163222323610.6092/issn.1973-2201/350342Efficient estimation of population mean using incomplete survey data on study and auxiliary characteristicsHelge ToutenburgV. K. SrivastavaThis paper considers the problem of estimating the population mean using the ratio and product methods when some observations in the sample data are missing at random and the population mean of the auxiliary characteristic is not known. Besides an unbiased estimator arising from the total discard of incomplete pairs of observations, four generally biased estimators are presented. The first two estimators arise form the partial utilization of data while the remaining two are based on full utilization. A comparative study of the efficiency properties of estimators is reported and the choice of estimators is discussed.http://rivista-statistica.unibo.it/article/view/350
collection DOAJ
language English
format Article
sources DOAJ
author Helge Toutenburg
V. K. Srivastava
spellingShingle Helge Toutenburg
V. K. Srivastava
Efficient estimation of population mean using incomplete survey data on study and auxiliary characteristics
Statistica
author_facet Helge Toutenburg
V. K. Srivastava
author_sort Helge Toutenburg
title Efficient estimation of population mean using incomplete survey data on study and auxiliary characteristics
title_short Efficient estimation of population mean using incomplete survey data on study and auxiliary characteristics
title_full Efficient estimation of population mean using incomplete survey data on study and auxiliary characteristics
title_fullStr Efficient estimation of population mean using incomplete survey data on study and auxiliary characteristics
title_full_unstemmed Efficient estimation of population mean using incomplete survey data on study and auxiliary characteristics
title_sort efficient estimation of population mean using incomplete survey data on study and auxiliary characteristics
publisher University of Bologna
series Statistica
issn 0390-590X
1973-2201
publishDate 2007-10-01
description This paper considers the problem of estimating the population mean using the ratio and product methods when some observations in the sample data are missing at random and the population mean of the auxiliary characteristic is not known. Besides an unbiased estimator arising from the total discard of incomplete pairs of observations, four generally biased estimators are presented. The first two estimators arise form the partial utilization of data while the remaining two are based on full utilization. A comparative study of the efficiency properties of estimators is reported and the choice of estimators is discussed.
url http://rivista-statistica.unibo.it/article/view/350
work_keys_str_mv AT helgetoutenburg efficientestimationofpopulationmeanusingincompletesurveydataonstudyandauxiliarycharacteristics
AT vksrivastava efficientestimationofpopulationmeanusingincompletesurveydataonstudyandauxiliarycharacteristics
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