2013
DOI: 10.22237/jmasm/1383278760
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Generalized Modified Ratio Estimator for Estimation of Finite Population Mean

Abstract: A generalized modified ratio estimator is proposed for estimating the population mean using the known population parameters. It is shown that the simple random sampling without replacement sample mean, the usual ratio estimator, the linear regression estimator and all the existing modified ratio estimators are the particular cases of the proposed estimator. The bias and the mean squared error of the proposed estimator are derived and are compared with that of existing estimators. The conditions for which the p… Show more

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Cited by 14 publications
(12 citation statements)
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“…of the auxiliary variable are known. For further details on the modified ratio estimators with the known population parameters of the auxiliary variable such as coefficient of variation, skewness, kurtosis, correlation coefficient, quartiles and their linear combinations, the readers are referred to see the following papers: Kadilar and Cingi (2004, 2006a,b, 2009, Koyuncu and Kadilar (2009), Singh and Kakran (1993), Singh andTailor (2003, 2005), Singh (2003), Sisodia and Dwivedi (1981), Subramani (2013), Subramani andKumarapandiyan (2012a,b,c, 2013a,b), Tailor and Sharma (2009), Tin (1965), Yan and Tian (2010) and the references cited therein.…”
Section: Examplementioning
confidence: 99%
“…of the auxiliary variable are known. For further details on the modified ratio estimators with the known population parameters of the auxiliary variable such as coefficient of variation, skewness, kurtosis, correlation coefficient, quartiles and their linear combinations, the readers are referred to see the following papers: Kadilar and Cingi (2004, 2006a,b, 2009, Koyuncu and Kadilar (2009), Singh and Kakran (1993), Singh andTailor (2003, 2005), Singh (2003), Sisodia and Dwivedi (1981), Subramani (2013), Subramani andKumarapandiyan (2012a,b,c, 2013a,b), Tailor and Sharma (2009), Tin (1965), Yan and Tian (2010) and the references cited therein.…”
Section: Examplementioning
confidence: 99%
“…We have proposed a class of modified ratio cum product estimators for finite population [11] mean of the study variable Y with known correlation coefficient of the auxiliary variable X. The bias and mean squared error of the proposed estimators are obtained and compared with that of the simple random sampling without replacement, regression, ratio, product, modified ratio, modified product estimators by both algebraically and numerically.…”
Section: Resultsmentioning
confidence: 99%
“…Motivated by Abid et al [1] and Subramani [19] and searching for the improved estimators, we have used a specific parameter as the ratio of correlation coefficient and coefficient of skewness of auxiliary variable along with some non-traditional parameters of auxiliary variable given by Abid et al [1] as, Using above approximation and up to the first order of approximations, the biases and the mean squared errors of proposed estimators are given by,…”
Section: Proposed Estimatorsmentioning
confidence: 99%