A Generalized Class of Exponential Type Estimators for Population Mean under Systematic Sampling Using Two Auxiliary Variables

We have proposed a generalized class of exponential type estimators for population mean under the framework of systematic sampling using the knowledge of two auxiliary variables. The expressions for the mean square error of the proposed class of estimators have been corrected up to first order of ap...

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Main Author: Mursala Khan
Format: Article
Language:English
Published: Wiley 2016-01-01
Series:Journal of Probability and Statistics
Online Access:http://dx.doi.org/10.1155/2016/2374837
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author Mursala Khan
author_facet Mursala Khan
author_sort Mursala Khan
collection DOAJ
description We have proposed a generalized class of exponential type estimators for population mean under the framework of systematic sampling using the knowledge of two auxiliary variables. The expressions for the mean square error of the proposed class of estimators have been corrected up to first order of approximation. Comparisons of the efficiency of the proposed class of estimators under the optimal conditions with the other existing estimators have been presented through a real secondary data. The statistical study provides strong evidence that the proposed class of estimators in survey estimation procedure results in substantial efficiency improvements over the other existing estimation approaches.
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spelling doaj-art-2fa7dcc80cf94a0b828a9e64109f880d2025-08-20T02:08:11ZengWileyJournal of Probability and Statistics1687-952X1687-95382016-01-01201610.1155/2016/23748372374837A Generalized Class of Exponential Type Estimators for Population Mean under Systematic Sampling Using Two Auxiliary VariablesMursala Khan0Department of Mathematics, COMSATS Institute of Information Technology, Abbottabad 22060, PakistanWe have proposed a generalized class of exponential type estimators for population mean under the framework of systematic sampling using the knowledge of two auxiliary variables. The expressions for the mean square error of the proposed class of estimators have been corrected up to first order of approximation. Comparisons of the efficiency of the proposed class of estimators under the optimal conditions with the other existing estimators have been presented through a real secondary data. The statistical study provides strong evidence that the proposed class of estimators in survey estimation procedure results in substantial efficiency improvements over the other existing estimation approaches.http://dx.doi.org/10.1155/2016/2374837
spellingShingle Mursala Khan
A Generalized Class of Exponential Type Estimators for Population Mean under Systematic Sampling Using Two Auxiliary Variables
Journal of Probability and Statistics
title A Generalized Class of Exponential Type Estimators for Population Mean under Systematic Sampling Using Two Auxiliary Variables
title_full A Generalized Class of Exponential Type Estimators for Population Mean under Systematic Sampling Using Two Auxiliary Variables
title_fullStr A Generalized Class of Exponential Type Estimators for Population Mean under Systematic Sampling Using Two Auxiliary Variables
title_full_unstemmed A Generalized Class of Exponential Type Estimators for Population Mean under Systematic Sampling Using Two Auxiliary Variables
title_short A Generalized Class of Exponential Type Estimators for Population Mean under Systematic Sampling Using Two Auxiliary Variables
title_sort generalized class of exponential type estimators for population mean under systematic sampling using two auxiliary variables
url http://dx.doi.org/10.1155/2016/2374837
work_keys_str_mv AT mursalakhan ageneralizedclassofexponentialtypeestimatorsforpopulationmeanundersystematicsamplingusingtwoauxiliaryvariables
AT mursalakhan generalizedclassofexponentialtypeestimatorsforpopulationmeanundersystematicsamplingusingtwoauxiliaryvariables