Estimation of Population Mean in the Presence of Non-Response and Measurement Error
Under classical survey sampling theory the errors mainly studied in the estimation are sampling errors. However, often non-sampling errors are more influential to the properties of the estimator than sampling errors. This is recognized by practitioners, researchers and many great works of literature...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Universidad Nacional de Colombia
2015-01-01
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| Series: | Revista Colombiana de Estadística |
| Subjects: | |
| Online Access: | http://www.scielo.org.co/scielo.php?script=sci_arttext&pid=S0120-17512015000100008&lng=en&tlng=en |
| _version_ | 1818118833016143872 |
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| author | SUNIL KUMAR SANDEEP BHOUGAL N. S. NATARAJA M. VISWANATHAIAH |
| author_facet | SUNIL KUMAR SANDEEP BHOUGAL N. S. NATARAJA M. VISWANATHAIAH |
| author_sort | SUNIL KUMAR |
| collection | DOAJ |
| description | Under classical survey sampling theory the errors mainly studied in the estimation are sampling errors. However, often non-sampling errors are more influential to the properties of the estimator than sampling errors. This is recognized by practitioners, researchers and many great works of literature regarding non-sampling errors have been published during last two decades, especially regarding non-response error which is one of the cornerstones of the non-sampling errors. The literature handles one kind of non-sampling error at a time, although in real surveys more than one non-sampling error is usually present.In this paper, two kinds of non-sampling errors are considered at the estimation stage: non-response and measurement error. An exponential ratio type estimator has been developed to estimate the population mean of the response variable in the presence of non-response and measurement errors. Theoretically and empirically, it has been shown that the proposed estimator is more efficient than usual unbiased estimator and other existing estimators. |
| first_indexed | 2024-12-11T05:00:35Z |
| format | Article |
| id | doaj.art-b39d4fd3535f42de865d5da62c40ac2b |
| institution | Directory Open Access Journal |
| issn | 0120-1751 |
| language | English |
| last_indexed | 2024-12-11T05:00:35Z |
| publishDate | 2015-01-01 |
| publisher | Universidad Nacional de Colombia |
| record_format | Article |
| series | Revista Colombiana de Estadística |
| spelling | doaj.art-b39d4fd3535f42de865d5da62c40ac2b2022-12-22T01:20:10ZengUniversidad Nacional de ColombiaRevista Colombiana de Estadística0120-17512015-01-0138114516110.15446/rce.v38n1.48807S0120-17512015000100008Estimation of Population Mean in the Presence of Non-Response and Measurement ErrorSUNIL KUMAR0SANDEEP BHOUGAL1N. S. NATARAJA2M. VISWANATHAIAH3Alliance UniversityShri Mata Vaishno Devi UniversityAlliance UniversityAlliance UniversityUnder classical survey sampling theory the errors mainly studied in the estimation are sampling errors. However, often non-sampling errors are more influential to the properties of the estimator than sampling errors. This is recognized by practitioners, researchers and many great works of literature regarding non-sampling errors have been published during last two decades, especially regarding non-response error which is one of the cornerstones of the non-sampling errors. The literature handles one kind of non-sampling error at a time, although in real surveys more than one non-sampling error is usually present.In this paper, two kinds of non-sampling errors are considered at the estimation stage: non-response and measurement error. An exponential ratio type estimator has been developed to estimate the population mean of the response variable in the presence of non-response and measurement errors. Theoretically and empirically, it has been shown that the proposed estimator is more efficient than usual unbiased estimator and other existing estimators.http://www.scielo.org.co/scielo.php?script=sci_arttext&pid=S0120-17512015000100008&lng=en&tlng=enerror cuadrático medioerror de mediciónerror de muestreoestimaciónestimador de razóon |
| spellingShingle | SUNIL KUMAR SANDEEP BHOUGAL N. S. NATARAJA M. VISWANATHAIAH Estimation of Population Mean in the Presence of Non-Response and Measurement Error Revista Colombiana de Estadística error cuadrático medio error de medición error de muestreo estimación estimador de razóon |
| title | Estimation of Population Mean in the Presence of Non-Response and Measurement Error |
| title_full | Estimation of Population Mean in the Presence of Non-Response and Measurement Error |
| title_fullStr | Estimation of Population Mean in the Presence of Non-Response and Measurement Error |
| title_full_unstemmed | Estimation of Population Mean in the Presence of Non-Response and Measurement Error |
| title_short | Estimation of Population Mean in the Presence of Non-Response and Measurement Error |
| title_sort | estimation of population mean in the presence of non response and measurement error |
| topic | error cuadrático medio error de medición error de muestreo estimación estimador de razóon |
| url | http://www.scielo.org.co/scielo.php?script=sci_arttext&pid=S0120-17512015000100008&lng=en&tlng=en |
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