Brazilian Journal of Probability and Statistics

Combination of regression and ratio estimate in presence of nonresponse

Housila P. Singh and Sunil Kumar

Full-text: Open access

Abstract

This article addresses the problem of estimating the population mean of the study variable y using information on two auxiliary variables x and z in presence of nonresponse. Two classes of combined regression and ratio estimators are defined in two different situations along with their properties. An empirical study is carried out to judge the merits of the suggested estimators over usual unbiased estimator, ratio estimator and regression estimators. Both theoretical and empirical results are encouraging.

Article information

Source
Braz. J. Probab. Stat., Volume 25, Number 2 (2011), 205-217.

Dates
First available in Project Euclid: 31 March 2011

Permanent link to this document
https://projecteuclid.org/euclid.bjps/1301577154

Digital Object Identifier
doi:10.1214/10-BJPS117

Mathematical Reviews number (MathSciNet)
MR2793926

Zentralblatt MATH identifier
1298.62021

Keywords
Study variable auxiliary variable variance nonresponse

Citation

Singh, Housila P.; Kumar, Sunil. Combination of regression and ratio estimate in presence of nonresponse. Braz. J. Probab. Stat. 25 (2011), no. 2, 205--217. doi:10.1214/10-BJPS117. https://projecteuclid.org/euclid.bjps/1301577154


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