A Predictive Approach for Finite Population Mean when Auxiliary Variables are Attributes

Authors

  • Ashish Kumar Department of Mathematics and Statistics, Manipal University Jaipur, Jaipur (Rajasthan), India
  • Monika Saini Department of Mathematics and Statistics, Manipal University Jaipur, Jaipur (Rajasthan), India

Keywords:

Exponential estimators, point bi-serial correlation, finite population, mean square error

Abstract

In this paper, the issue of estimating the finite population mean utilizing predictive approach has been deliberated when data on auxiliary attribute is accessible. Exponential ratio cum product estimator are proposed utilizing Singh et al. (2007) ratio and product type exponential estimators as a predictor of the mean unobserved units of the population. The bias and mean square error (MSE) of proposed estimators have been gained up to the first order of approximation. The theoretical conditions under which the proposed estimator is more efficient than the usual unbiased, Naik and Gupta (1996) and Singh et al. (2007) estimators. A practical study is carried out in support of theoretical results.

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Published

2022-06-29

Issue

Section

Articles