Title: Searching efficient estimator of population variance using tri-mean and third quartile of auxiliary variable

Authors: S.K. Yadav; Dinesh K. Sharma; S.S. Mishra

Addresses: Department of Statistics, Babasaheb Bhimrao Ambedkar University, Lucknow-226025, U.P., India ' Department of Business, Management and Accounting, University of Maryland Eastern Shore, Princess Anne, MD 21853, USA ' Department of Mathematics and Statistics (Centre of Excellence on Advanced Computing), Dr. Ram Manohar Lohia Avadh University, Faizabad-224001, U.P., India

Abstract: This paper concerns with the estimation of population variance of study variable using tri-mean and third quartile of the auxiliary variable. In this study, the sampling properties, bias and mean squared error of the proposed estimator are demonstrated. The justification of the performance of the proposed estimator under SRSWOR has been made with reference to the competing estimators of population variance, the sample variance, Isaki (1983) estimator, the estimator due to Upadhyaya and Singh (1999), Kadilar and Cingi (2006) estimators, Subramani and Kumarapandiyan (2012) estimators, Khan and Shabbir (2013) estimator and Maqbool and Javaid (2017) estimator of population variance. Based on data provided by Murthy (1967), it has been demonstrated that the proposed estimator has shown a significant improvement over all competing estimators of population variance.

Keywords: study variable; auxiliary variable; bias; mean squared error; efficiency; tri-mean; third quartile.

DOI: 10.1504/IJBDA.2019.098830

International Journal of Business and Data Analytics, 2019 Vol.1 No.1, pp.30 - 40

Received: 05 Mar 2018
Accepted: 05 Jun 2018
Published online: 03 Apr 2019 *