V3I6P87

New Product Type Estimator of Finite Population Mean in Systematic Sampling 

Dr. Sitanshu Shekhar Mishra¹, Dr. Archana Panigrahi^2*

Abstract

In this paper we propose a new product type estimator for estimating finite population mean ¯Y of the study variable (y) using auxiliary variable(z) in systematic sampling.  We derive the expressions of bias and mean square error (MSE) of the proposed product type estimator up to the first order of approximation. We compare the proposed product type estimator with usual simple mean estimator, product type estimator by Shukla (1971) and product type exponential estimator by Singh et al. (2011) in systematic sampling scheme  theoretically as well as empirically.

Keywords:

Product type estimator, Systematic sampling, Bias, Mean square error (M.S.E)