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A class of exponential-type ratio estimators of a general parameter
Authors:Housila P Singh
Institution:School of Studies in Statistics, Vikram University, Ujjain, MP, India
Abstract:This paper addresses the problem of estimating a general parameter using information on an auxiliary variable X. We have suggested a class of exponential-type ratio estimators for the parameter and its properties are studied. It is identified that the estimators due to Upadhyaya et al. Journal of Statistical Theory and Practice (2011), 5(2), 285–302] and Yadav and Kadilar Revista Columbiana de Estadistica, (2013), 36(1), 145–152] are members of the proposed estimator. We have also shown that the suggested estimator is more efficient than the estimators of Upadhyaya et al. (2011 Upadhyaya, L.N., Singh, H.P., Chatterjee, S., Yadav, R. (2011). Improved ratio and product exponential type estimators. J. Stat. Theo. Pract. 5 (2): 285302.Taylor &; Francis Online] Google Scholar]) and Yadav and Kadilar (2013 Yadav, S.K., Kadilar, C. (2013). Improved exponential type ratio estimator of population variance. Revis. Colum. de Estadist. 36(1): 145152. Google Scholar]). Numerical illustration is provided in support of the present study.
Keywords:Auxiliary variable  bias  efficiency  mean squared error  study variable
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