Chain Ratio Type Estimators Using Known Parameters of Auxiliary Variates in Double Sampling

Priya  Mehta; Rajesh Tailor

doi:10.13052/jrss0974-8024.13242

Priya Mehta School of Studies in Statistics, Vikram University, Ujjain-456010, M.P., India
Rajesh Tailor School of Studies in Statistics, Vikram University, Ujjain-456010, M.P., India

DOI: https://doi.org/10.13052/jrss0974-8024.13242

Keywords: Auxiliary variate, study variate, double sampling, coefficient of kurtosis, bias and MSE

Abstract

This paper discusses chain ratio type estimator for estimation of population mean in double sampling. The developed estimator uses two auxiliary variates associated with study variate in order to increases its efficiency. The developed estimator has been compared with usual unbiased estimator and other existing estimators. The expression for the bias and mean squared error of the developed estimator is obtained under large sample approximation. We have considered the natural population data set to examine the merits of the developed estimator and carried out the empirical study in support of theoretical findings. Numerical illustration shows that the proposed estimator is more efficient.

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Author Biographies

Priya Mehta, School of Studies in Statistics, Vikram University, Ujjain-456010, M.P., India

Priya Mehta is a Doctorate from Vikram University, Ujjain in 2019, my undergraduate studies completed at Vikram University, Ujjain in 2010, I received my Post Graduate in 2012 from Vikram University, Ujjain. My research interest lies in the area of Sampling Techniques. I have completed my Ph.D. on Contribution of Auxiliary Information in Estimation of Population Parameters at Vikram University, Ujjain.

Rajesh Tailor, School of Studies in Statistics, Vikram University, Ujjain-456010, M.P., India

Rajesh Tailor received his M.Sc. degree in 1998 from Vikram University, Ujjain. He did his M.Phil. in 1999 and Ph.D. in 2002 from Vikram University, Ujjain. He started his career as a lecturer at NCERT, New Delhi and became Reader in 2008 Vikram University, Ujjain. He is a life member of Sankhya, Indian Science Congress, Indian Society of Agriculture Statistics and he is reviewer of various National and International Journals of Statistics. He is Nodal officer of All India Survey on Higher Education, a programmer of MHRD, Government of India, Calcutta Statistical Association.