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Weighted Ratio-cum-Product Estimator for Finite Population Mean

K.B. Panda1 , M. Sen2

Section:Research Paper, Product Type: Isroset-Journal
Vol.5 , Issue.4 , pp.354-358, Aug-2018


CrossRef-DOI:   https://doi.org/10.26438/ijsrmss/v5i4.354358


Online published on Aug 31, 2018


Copyright © K.B. Panda , M. Sen . This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
 

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IEEE Style Citation: K.B. Panda , M. Sen, “Weighted Ratio-cum-Product Estimator for Finite Population Mean,” International Journal of Scientific Research in Mathematical and Statistical Sciences, Vol.5, Issue.4, pp.354-358, 2018.

MLA Style Citation: K.B. Panda , M. Sen "Weighted Ratio-cum-Product Estimator for Finite Population Mean." International Journal of Scientific Research in Mathematical and Statistical Sciences 5.4 (2018): 354-358.

APA Style Citation: K.B. Panda , M. Sen, (2018). Weighted Ratio-cum-Product Estimator for Finite Population Mean. International Journal of Scientific Research in Mathematical and Statistical Sciences, 5(4), 354-358.

BibTex Style Citation:
@article{Panda_2018,
author = {K.B. Panda , M. Sen},
title = {Weighted Ratio-cum-Product Estimator for Finite Population Mean},
journal = {International Journal of Scientific Research in Mathematical and Statistical Sciences},
issue_date = {8 2018},
volume = {5},
Issue = {4},
month = {8},
year = {2018},
issn = {2347-2693},
pages = {354-358},
url = {https://www.isroset.org/journal/IJSRMSS/full_paper_view.php?paper_id=748},
doi = {https://doi.org/10.26438/ijcse/v5i4.354358}
publisher = {IJCSE, Indore, INDIA},
}

RIS Style Citation:
TY - JOUR
DO = {https://doi.org/10.26438/ijcse/v5i4.354358}
UR - https://www.isroset.org/journal/IJSRMSS/full_paper_view.php?paper_id=748
TI - Weighted Ratio-cum-Product Estimator for Finite Population Mean
T2 - International Journal of Scientific Research in Mathematical and Statistical Sciences
AU - K.B. Panda , M. Sen
PY - 2018
DA - 2018/08/31
PB - IJCSE, Indore, INDIA
SP - 354-358
IS - 4
VL - 5
SN - 2347-2693
ER -

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Abstract :
We have, in this paper, proposed a new ratio-cum-product estimator of finite population mean using information on two auxiliary variates. The bias and mean squared error of the proposed estimator, up to the first order of approximation have been derived. The proposed estimator, under optimal weights, is shown to be superior to the competing estimators. Empirical investigations have been carried out in support of the theoretical findings.

Key-Words / Index Term :
Auxiliary variable, Ratio-cum-product estimator

References :
[1] Goodman, L.A., On exact variance of products. Amer. Stat. Asso.55, 708-713, (1960).
[2] Hansen, M.H. et. al: Sample surveys Methods and Theory. Vol.I Wiley, New York,(1953).
[3] Koop, J.C., “On an identity for the variance of a ratio of two random variables.” Jour. Roy. Stat. Soc. Series B,26(3), 484-486, (1964).
[4] Murthy, M.N., Product method of estimation.Sankhya, Series A, Vol.26, 69-74, (1964).
[5] Olkin, I, Multivariate ratio method of estimation for finite populations. Biometrika, 45, 154-65. (1958).
[6] Singh, M.P: On the estimation of ratio and product of population parameters. Sankhya, B,27,321-28, (1965).
[7] Singh, M.P., Efficient use of systematic sampling in ratio and product estimation, Metrika113, 199-205, (1966).
[8] Singh, M.P., Multivariate product method of estimation for finite populations.,J. Indian Soc. Agri. Statist., 19,1-10, (1967).
[9] Singh, M.P.: Ratio cum Product Method of Estimation, Metrika, Vol.12, Issue 1, pp34-42, (1967).
[10] Singh, M.P., 1969. Comparison of some ratio-cum-product estimators. Sankhya, series B, 31, 375-378.

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