Improved classes of chain type estimators for ratio of two population means using two auxiliary characters in the presence of non-response

Abstract

In the case when the population mean of auxiliary character is not known but population mean of another additional auxiliary character is known, improved classes of chain type estimators for ratio of two population means of study characters in the presence of non-response have been proposed and their properties are studied. The proposed classes of chain type estimators have been found to be more efficient than the corresponding estimators in case of fixed sample sizes and also in case of the fixed cost. It is also found that the proposed classes of chain type estimators have less total cost in comparison to the cost incurred for the corresponding estimators in case of the specified variance. An empirical study has been given in support of the problem under investigation.

Estimation of Mean with Two-Parameter Ratio-Product-Ratio Estimator in Double Sampling using Ancillary Information under Non-Response

“…Population source: Khare and Sinha (2007). The values of required parameters are Compute the optimum values of α for given k and β by using the formula…”

On Estimating the Finite Population Mean Using Two Auxiliary Variables in Two Phase Sampling in the Presence of Non Response

“…To illustrate the results numerically we consider the data set earlier used by Khare and Sinha (2007). The data on physical growth of upper socio-economic group of 95 school children of Varanasi under ICMR study, department of Paediatrics, Banaras Hindu University, during 1983-1984 has been taken under study.…”

Estimation of Product of Two Population Means by Multi-Auxiliary Characters Under Double Sampling the Non-Respondents

“…To reduce the effect of non-response in the estimation of parameter for a variable, Hansen and Hurwitz (1946) suggested a method of sub-sampling on the non-responding units and proposed an unbiased estimator for population mean. Further, following Hansen and Hurwitz (1946) strategies of sub-sampling the non-responding units, a, b, 2007, Singh et al (2007), Singh and Kumar (2008) proposed some classes of estimators for the ratio/product of two population means using auxiliary character(s) in the presence of non-response. The objective of this paper is to suggest classes of estimators for estimating the product of two population means using information available on multi-auxiliary characters in the presence of non-response under different situations and study their theoretical and empirical properties.…”