Family of Estimators of Population Mean Using Two Auxiliary Variables in Stratified Random Sampling

Abstract

A general family of estimators, which use the information of two auxiliary variables in the stratified random sampling, is proposed to estimate the population mean of the variable under study. Under stratified random sampling without replacement scheme, the expressions of bias and mean square error (MSE) up to the first-and second-order approximations are derived. The family of estimators in its optimum case is discussed. Also, an empirical study is carried out to show the properties of the proposed estimators.

A new estimator for population mean using two auxiliary variables in stratified random sampling

“…In this section, we use the data set in Koyuncu and Kadilar [4]. The population statistics are given in Table 3.2.1.…”

“…Diana [2] suggested a class of estimators of the population mean using one auxiliary variable in the stratified random sampling and examined the MSE of the estimators up to the k th order of approximation. Kadilar and Cingi [3], Singh et al [7], Singh and Vishwakarma [8], Koyuncu and Kadilar [4] proposed estimators in stratified random sampling. Singh [9] and Perri [6] suggested some ratio cum product estimators in simple random sampling.…”

Improved Exponential Type Estimators for Finite Population Mean in Stratified Random Sampling

“…To analyze the performance of proposed estimator we use the data concerning the number of teachers as the study variable and the number of students as the auxiliary variable in both primary and secondary schools for 923 districts at 6 regions (as 1:Marmara 2:Agean 3:Mediterranean 4:Central Anatolia 5:Black Sea 6:East and Southeast Anatolia) in Turkey in 2007 (Source: Koyuncu and Kadilar (2009) Table 2. When we examine Table 2, we observe that the proposed 4 M y estimator has the smallest.…”

Estimation of Population Mean under Non-Response using Various Imputation Methods for Stratified Population

“…Singh et al (2008) suggested class of estimators using power transformation based on the estimators developed by Kadilar and Cingi (2003). Kadilar and Cingi (2005), Shabbir and Gupta (2005, 06) and Singh and Vishwakarma (2008) have suggested new ratio estimators in stratified sampling to improve the efficiency of the estimators, Kadilar and Koyuncu (2009) have proposed a general family of estimators, which uses the information of two auxiliary variables in the stratified random sampling to estimate the population mean of the study variable. Choudhary et al (2010) have proposed some family of estimators for population mean in stratified sampling.…”