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Dubey and Kant (2004). On the application of dual to ratio estimator for estimating population mean. Journal of Ravishankar University (Part-B: Science), 17(1), pp.43-49.



Journal of Ravishankar University Vol. 17 No. B (Science) 2004  pp 43-49    ISSN  0970-5910

On the application of dual to ratio estimator for estimating population mean

Vyas Dubey and Surya Kant

Pt.  Ravishankar   Shukla   University.Raipur

MS : Received:   21/10/03    Revised  :    24/03/04    Accepted  :   24/05/04

Abstract: In this paper an optimum sample size for dual to ratio estimator, proposed by Srivenkataramana (1980) and Bandopadhyay (1980), has been suggested. In this case the dual to ratio estimator becomes more efficient. However, the optimum   sample size is larger than the sample size suggested   by Srivenkataramana.     In  some  practical    situations   it  may  not  be possible   to  take  such  a  large   sample.  Therefore, an estimator   has been proposed which   is almost unbiased and is more  elficient    than dual   to ratio estimator   for  a smaller  sample   size.  A numerical   illustration    has been pre• sented to illustrate some mathematical  findings:

Keywords  :    Bias,   Mean  Squared    Error  (MSE).   Simple Random Sampling, Relative Absolute   Bias (RAB),   Relative   Mean Squared,  Error (RMSE), Order of Approximation.

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