A general family of dual to ratio-cum-product estimator in sample surveys

Rajesh Singh; Mukesh  Kumar; Pankaj  Chauhan; Nirmala  Sawan; Florentin  Smarandache

doi:https://doi.org/10.59170/stattrans-2011-044

A general family of dual to ratio-cum-product estimator in sample surveys

Rajesh Singh , Mukesh Kumar Department of Statistics, BHU, Varanasi(U.P.), India , Pankaj Chauhan , Nirmala Sawan School of Statistics, DAVV, Indore (M.P.), India , Florentin Smarandache Department of Mathematics, University of New Mexico, Gallup, USA Statistics in Transition new series, vol. 12, 2011, 3, pages: 587-594 Published online: 1 December 2011 https://doi.org/10.59170/stattrans-2011-044

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ABSTRACT

This paper presents a family of dual to ratio-cum-product estimators for the finite population mean. Under simple random sampling without replacement (SRSWOR) scheme, expressions of the bias and mean-squared error (MSE) up to the first order of approximation are derived. We show that the proposed family is more efficient than usual unbiased estimator, ratio estimator, product estimator, Singh estimator (1967), Srivenkataramana (1980) and Bandyopadhyaya estimator (1980) and Singh et al. (2005) estimator. An empirical study is carried out to illustrate the performance of the constructed estimator over others.

KEYWORDS

Family of estimators, auxiliary variables, bias, mean-squared error

REFERENCES

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