## Brazilian Journal of Probability and Statistics

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

### Combination of regression and ratio estimate in presence of nonresponse

Housila P. Singh and Sunil Kumar

#### 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