Bulletin of Pure and Applied Sciences
  • Year: 2019
  • Volume: 38E
  • Issue: 1

Some New Developments in Chain Type Estimators for Estimating Population Mean in Cluster Sampling

  • Author:
  • Surya K. Pal1,, Housila P. Singh2, Shrasthi Srivastava3
  • Total Page Count: 16
  • Published Online: Jun 1, 2019
  • Page Number: 1 to 16

1BFIT-Group of Institutions, Dehradun, Uttarakhand248007, India

2School of Studies in Statistics, Vikram University, Ujjain, Madhya Pradesh456010, India

3School of Studies in Statistics, Vikram University, Ujjain, Madhya Pradesh456010, India

*Corresponding Author: Surya K. Pal, Assistant Professor, Department of Statistics, BFIT- Group of Institutions, Dehradun-248007, U.K., India E-mail: suryakantpal6676@gmail.com

Abstract

In this paper we suggest a ratio type exponential estimator, a chain ratio-type estimator, a chain ratio-type exponential estimator and a chain ratio-ratio-type exponential estimator in cluster sampling. Further we consider a generalized class of chain ratio-ratio-type exponential estimator. The properties of the suggested class of estimators are studied under large sample approximation. Conditions are obtained under which these estimators are more efficient than the usual unbiased estimators.

Keywords

Main and Subsidiary variable, Bias, MSE, Efficiency, Cluster sampling, 62-XX, 62Jxx