In this article we have envisaged an efficient generalized class of estimators for finite population variance of the study variable in simple random sampling using information on an auxiliary variable. Asymptotic expressions of the bias and mean square error of the proposed class of estimators have been obtained. Asymptotic optimum estimator in the proposed class of estimators has been identified with its mean square error formula. We have shown that the proposed class of estimators is more efficient than the usual unbiased, difference, Das and Tripathi (Sankhya C 40:139–148, 1978), Isaki (J. Am. Stat. Assoc. 78:117–123, 1983), Singh et al. (Curr. Sci. 57:1331–1334, 1988), Upadhyaya and Singh (Vikram Math. J. 19:14–17, 1999b), Kadilar and Cingi (Appl. Math. Comput. 173:2, 1047–1059, 2006a) and other estimators/classes of estimators. In the support of the theoretically results we have given an empirical study.

A new procedure for variance estimation in simple random sampling using auxiliary information

On efficient use of auxiliary information for control charting in SPC

This article considers the problem of estimating population mean on the current (second) occasion using auxiliary information in successive sampling over two occasions. A class of estimators is defined with its properties. It is shown that the estimator envisaged by Singh (2005) is a particular member of the proposed class of estimators. The superiority of the suggested class of estimators is discussed with sample mean estimator when there is no matching, the best combined estimator given in Cochran (1977, p. 346), Sukhatme et al. (1984, p. 249), Singh's (2005) estimator, and Singh and Vishwakarma's (2007) class of estimators. Optimum replacement policy has been discussed. Numerical illustration is also given.

A General Procedure for Estimating Population Mean in Successive Sampling

This paper suggests a class of estimators for estimating the finite population mean 𝑌 of the study variable 𝑦 using known population mean 𝑋 of the auxiliary variable 𝑥. Asymptotic expressions of bias and variance of the suggested class of estimators have been obtained. Asymptotic optimum estimator (AOE) in the class is identified along with its variance formula. It has been shown that the proposed class of estimators is more efficient than usual unbiased, usual ratio, usual product, Bahl and Tuteja (1991), and Kadilar and Cingi (2003) estimators under some realistic conditions. An empirical study is carried out to judge the merits of suggested estimator over other competitors practically.

/pdf/an-alternative-estimator-for-estimating-the-finite-ev4ppvli50.pdf

An Alternative Estimator for Estimating the Finite Population Mean Using Auxiliary Information in Sample Surveys

This paper proposes a class of estimators of finite population variance in successive sampling on two occasions and analyzes its properties. Isaki (J Am Stat Assoc 78:117–123, 1983) motivated to consider the problem of estimation of finite population variance in survey sampling, and its extension to the case of successive sampling is much interesting, and the theory developed here will be helpful to those involved in such analysis in future. To our knowledge this is the first attempt made by the authors in this direction. An empirical study based on real populations and moderate sample sizes demonstrates the usefulness of the proposed methodology. In addition, this paper also presents a through review on successive sampling.

http://cda.mrs.umn.edu/~jongmink/research/qq_paper.pdf

Estimation of population variance in successive sampling

This paper deals with the problem of estimating population mean Y of the study variate y using information on population mean X and coefficient of variation Cx of an auxiliary character x. We have suggested an estimator for Y and its properties are studied in the context of single sampling. It is shown that the proposed estimator is more efficient than Sisodia and Dwivedi (1981) estimator and Pandey and Dubey (1988) estimator under some realistic conditions. An empirical study is carried out to examine the merits of the constructed estimator over others.

/pdf/estimation-of-finite-population-mean-with-known-coefficient-23e6rj1dvg.pdf

Estimation of finite population mean with known coefficient of variation of an auxiliary character

This paper proposes two ratio and product-type estimators using transformation based on known minimum and maximum values of auxiliary variable. The biases and mean squared errors of the suggested estimators are obtained under large sample approximation. Conditions are obtained under which the suggested estimators are superior to the conventional unbiased estimator, usual ratio and product estimators of population mean. The superiority of the proposed estimators are also established through some natural population data sets.

/pdf/on-ratio-and-product-methods-with-certain-known-population-zkakl7yx9g.pdf

On ratio and product methods with certain known population parameters of auxiliary variable in sample surveys

This paper proposes a ratio-cum-product estimator of finite population mean in stratified random sampling using information on population means of two auxiliary variables. The bias and mean squared error expressions are derived under large sample approximations. Proposed estimator has been compared with usual unbiased estimator in stratified sampling, combined ratio estimator and combined product estimator theoretically as well as empirically.

/pdf/a-ratio-cum-product-estimator-of-population-mean-in-2ghqtpnezt.pdf

A ratio-cum-product estimator of population mean in stratified random sampling using two auxiliary variables

This paper suggests two ratio-cum-product estimators of finite population mean using known coefficient of variation and co-efficient of kurtosis of auxiliary characters. The bias and mean squared error of the proposed estimators with large sample approximation are derived. It has been shown that the estimators suggested by Upadhyaya and Singh (1999) are particular case of the suggested estimators. Almost ratio-cum product estimators of suggested estimators have also been obtained using Jackknife technique given by Quenouille (1956). An empirical study is also carried out to demonstrate the performance of the suggested estimators.

/pdf/ratio-cum-product-estimators-of-population-mean-using-known-4si35uyrqx.pdf

Ritesh Tailor

Papers

Estimation of finite population mean with known coefficient of variation of an auxiliary character

Estimation of population variance in successive sampling

On ratio and product methods with certain known population parameters of auxiliary variable in sample surveys

A ratio-cum-product estimator of population mean in stratified random sampling using two auxiliary variables

Ratio-Cum-Product Estimators of Population Mean Using Known Population Parameters of Auxiliary Variates