Some linear regression type ratio exponential estimators for estimating the population mean based on quartile deviation and deciles

Prasad Shakti ()
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Prasad Shakti: Department of Basic and Applied Science, National Institute of Technology, Arunachal Pradesh, Yupia, Papumpare, - 791112, Arunachal Pradesh, ; India .

Statistics in Transition New Series, 2020, vol. 21, issue 5, 85-98

Abstract: This paper deals some linear regression type ratio exponential estimators for estimating the population mean using the known values of quartile deviation and deciles of an auxiliary variable in survey sampling. The expressions of the bias and the mean square error of the suggested estimators have been derived. It was compared with the usual mean, usual ratio (Cochran (1977)), Kadilar and Cingi (2004, 2006) and Subzar et al. (2017) estimators. After comparison, the condition which makes the suggested estimators more efficient than others is found. To verify the theoretical results, numerical results are performed on two natural population data sets.

Keywords: Bias; Mean square error (MSE); Auxiliary variable; Relative Efficiency (%). (search for similar items in EconPapers)
Date: 2020
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Persistent link: https://EconPapers.repec.org/RePEc:vrs:stintr:v:21:y:2020:i:5:p:85-98:n:9

DOI: 10.21307/stattrans-2020-056

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