A Class of Estimators Using Auxiliary Information for Estimating Finite Population Variance in Presence of Measurement Errors

This article addresses the problem of estimating the population variance using auxiliary information in the presence of measurement errors. When the measurement error variance associated with study variable is known, a class of estimators of the population variance using auxiliary information has be...

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Bibliographic Details
Published in:Communications in statistics. Theory and methods 2009-02, Vol.38 (5), p.734-741
Main Authors: Singh, Housila P., Karpe, Namrata
Format: Article
Language:English
Subjects:
Auxiliary variate
Exact sciences and technology
General topics
Linear inference, regression
Mathematics
Measurement error
Parametric inference
Primary 62-xx
Probability and statistics
Sampling theory, sample surveys
Sciences and techniques of general use
Secondary 62D05
Statistics
Study variate
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Summary:This article addresses the problem of estimating the population variance using auxiliary information in the presence of measurement errors. When the measurement error variance associated with study variable is known, a class of estimators of the population variance using auxiliary information has been proposed. We obtain the bias and mean squared errors of the suggested class of estimators upto the terms of order n −1 , and also optimum estimators in asymptotic sense of the class with approximate mean squared error formula.
ISSN:0361-0926
1532-415X
DOI:10.1080/03610920802290713