Regression-type estimators using two auxiliary variables and the model of double sampling from finite populations

Abstract

Summary:In this paper, we use two auxiliary variables x and y to construct two regression-type estimators for the population mean of the study variable y. The efficiency of the proposed estimators is investigated under a super-population model. A numerical study is done to demonstrate the practical use of different estimation formulae and empirically demonstrate the performance of the constructed estimators.

Development of Efficient Estimation Technique for Population Mean in Two Phase Sampling Using Fuzzy Tools

“…The estimator is known as chaintype ratio estimator. This work was further extended by Kiregyera (1980Kiregyera ( , 1984, Sahoo et al (1994), Tracy et al (1996), Singh and Espejo (2007), Gupta and Shabbir (2007), Shukla et al (2012), Choudhury and Singh (2012) and among others where they proposed various chain-type ratio and regression estimators. It may be noted that the most of these estimation procedures of population mean in two-phase sampling are biased which become a serious drawback for their practical applications.…”

Efficient and Unbiased Estimation Procedure of Population Mean in Two-Phase Sampling

“…This estimator is known as the chain-type ratio estimator. This work was further extended by Kiregyera (1980;1984), Sahoo and Sahoo (1993), Tracy, Singh, and Singh (1996), Singh and Espejo (2007), Gupta and Shabbir (2007), Dash andMishra (2011), Shukla, Pathak, andThakur (2012), and Choudhury and Singh (2012), among others, who proposed various chain-type ratio and regression estimators. It may be noted that the most of these estimation procedures of the population mean in two-phase sampling are biased which becomes a serious drawback for their practical applications.…”

A Class of Estimators for Predictive Estimation of Population Mean in Two-Phase Sampling

“…Then a sub-sample s ) ( s s   of n units is drawn from s at the second phase to observe y only. Let us define The basic work on estimation in this area was initiated by Chand (1975) and subsequently studied by Kiregyera (1980Kiregyera ( , 1984 among others. But, Sahoo and Sahoo (1993), Singh et al (1994) and Sahoo and Sahoo (1999) developed three different classes of estimators for…”

“…proposed by Kiregyera (1984), where xz b is the sample regression coefficient of x on z based on s .…”