An Improved Class of Chain Ratio-Product Type Estimators in Two-Phase Sampling Using Two Auxiliary Variables
This paper presents a technique for estimating finite population mean of the study variable in the presence of two auxiliary variables using two-phase sampling scheme when the regression line does not pass through the neighborhood of the origin. The properties of the proposed class of estimators ar...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2014-01-01
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| Series: | Journal of Probability and Statistics |
| Online Access: | http://dx.doi.org/10.1155/2014/939701 |
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| _version_ | 1832566623471403008 |
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| author | Gajendra K. Vishwakarma Manish Kumar |
| author_facet | Gajendra K. Vishwakarma Manish Kumar |
| author_sort | Gajendra K. Vishwakarma |
| collection | DOAJ |
| description | This paper presents a technique for estimating finite population mean of the study variable
in the presence of two auxiliary variables using two-phase sampling scheme when the regression line does not pass through the neighborhood of the origin. The properties of the proposed class of estimators are studied under large sample approximation. In addition, bias and efficiency comparisons are carried out to study the performances of
the proposed class of estimators over the existing estimators. It has also been shown that the proposed technique has greater applicability in survey research. An empirical study is carried out to demonstrate the performance of the proposed estimators. |
| format | Article |
| id | doaj-art-7d109752c8c942cbbb02d728d0b79400 |
| institution | Kabale University |
| issn | 1687-952X 1687-9538 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Probability and Statistics |
| spelling | doaj-art-7d109752c8c942cbbb02d728d0b794002025-02-03T01:03:42ZengWileyJournal of Probability and Statistics1687-952X1687-95382014-01-01201410.1155/2014/939701939701An Improved Class of Chain Ratio-Product Type Estimators in Two-Phase Sampling Using Two Auxiliary VariablesGajendra K. Vishwakarma0Manish Kumar1Department of Applied Mathematics, Indian School of Mines, Dhanbad, Jharkhand 826004, IndiaDepartment of Applied Mathematics, Indian School of Mines, Dhanbad, Jharkhand 826004, IndiaThis paper presents a technique for estimating finite population mean of the study variable in the presence of two auxiliary variables using two-phase sampling scheme when the regression line does not pass through the neighborhood of the origin. The properties of the proposed class of estimators are studied under large sample approximation. In addition, bias and efficiency comparisons are carried out to study the performances of the proposed class of estimators over the existing estimators. It has also been shown that the proposed technique has greater applicability in survey research. An empirical study is carried out to demonstrate the performance of the proposed estimators.http://dx.doi.org/10.1155/2014/939701 |
| spellingShingle | Gajendra K. Vishwakarma Manish Kumar An Improved Class of Chain Ratio-Product Type Estimators in Two-Phase Sampling Using Two Auxiliary Variables Journal of Probability and Statistics |
| title | An Improved Class of Chain Ratio-Product Type Estimators in Two-Phase Sampling Using Two Auxiliary Variables |
| title_full | An Improved Class of Chain Ratio-Product Type Estimators in Two-Phase Sampling Using Two Auxiliary Variables |
| title_fullStr | An Improved Class of Chain Ratio-Product Type Estimators in Two-Phase Sampling Using Two Auxiliary Variables |
| title_full_unstemmed | An Improved Class of Chain Ratio-Product Type Estimators in Two-Phase Sampling Using Two Auxiliary Variables |
| title_short | An Improved Class of Chain Ratio-Product Type Estimators in Two-Phase Sampling Using Two Auxiliary Variables |
| title_sort | improved class of chain ratio product type estimators in two phase sampling using two auxiliary variables |
| url | http://dx.doi.org/10.1155/2014/939701 |
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