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 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.

• Autores: Kumar, Sunil; Bhogal, Sandeep; Nataraja, N. S.; Viswanathaiah, M.
• Tipo de recurso: Article of journal
• Fecha de publicación: 2015
• Institución: Universidad Nacional de Colombia
• Repositorio: Universidad Nacional de Colombia
• Idioma: spa
• OAI Identifier: oai:repositorio.unal.edu.co:unal/66546
• Acceso en línea: https://repositorio.unal.edu.co/handle/unal/66546; http://bdigital.unal.edu.co/67574/
• Palabra clave: 51 Matemáticas / Mathematics; 31 Colecciones de estadística general / Statistics; Estimation; Mean Squared Error; Measurement Error; Nonresponse; Ratio Estimator; Sampling Error; Error cuadrático medio; Error de medición; Error de muestreo; Estimación; Estimador de razón.
• Rights: openAccess
• License: Atribución-NoComercial 4.0 Internacional