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Improved Estimator for Estimating the Population Mean In Simple Random Sampling
Khalid Ul Islam Rather1 , Rizwan Yousuf2
Section:Research Paper, Product Type: Journal-Paper
Vol.7 ,
Issue.5 , pp.16-18, Oct-2020
Online published on Oct 31, 2020
Copyright © Khalid Ul Islam Rather, Rizwan Yousuf . 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: Khalid Ul Islam Rather, Rizwan Yousuf, “Improved Estimator for Estimating the Population Mean In Simple Random Sampling,” International Journal of Scientific Research in Mathematical and Statistical Sciences, Vol.7, Issue.5, pp.16-18, 2020.
MLA Style Citation: Khalid Ul Islam Rather, Rizwan Yousuf "Improved Estimator for Estimating the Population Mean In Simple Random Sampling." International Journal of Scientific Research in Mathematical and Statistical Sciences 7.5 (2020): 16-18.
APA Style Citation: Khalid Ul Islam Rather, Rizwan Yousuf, (2020). Improved Estimator for Estimating the Population Mean In Simple Random Sampling. International Journal of Scientific Research in Mathematical and Statistical Sciences, 7(5), 16-18.
BibTex Style Citation:
@article{Rather_2020,
author = {Khalid Ul Islam Rather, Rizwan Yousuf},
title = {Improved Estimator for Estimating the Population Mean In Simple Random Sampling},
journal = {International Journal of Scientific Research in Mathematical and Statistical Sciences},
issue_date = {10 2020},
volume = {7},
Issue = {5},
month = {10},
year = {2020},
issn = {2347-2693},
pages = {16-18},
url = {https://www.isroset.org/journal/IJSRMSS/full_paper_view.php?paper_id=2123},
publisher = {IJCSE, Indore, INDIA},
}
RIS Style Citation:
TY - JOUR
UR - https://www.isroset.org/journal/IJSRMSS/full_paper_view.php?paper_id=2123
TI - Improved Estimator for Estimating the Population Mean In Simple Random Sampling
T2 - International Journal of Scientific Research in Mathematical and Statistical Sciences
AU - Khalid Ul Islam Rather, Rizwan Yousuf
PY - 2020
DA - 2020/10/31
PB - IJCSE, Indore, INDIA
SP - 16-18
IS - 5
VL - 7
SN - 2347-2693
ER -
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Abstract :
This paper proposes some improvement in estimators for the population mean using the ratio estimators presented in [C. Kadilar,H. Cingi, Ratio estimators in simple random sampling, Applied Mathematics and Computation 151 (2004)893–902] and shows that all proposed estimators are always more efficient than the ratio estimators. This result is also supported by a numerical example
Key-Words / Index Term :
Ratio-type estimators; Simple random sampling; Mean square error; Auxiliary information; Efficiency
References :
[1] C. Kadilar, H. Cingi, Ratio estimators in simple random sampling, Applied Mathematics and Computation 151 (2004) 893–902.
[2] B.V.S. Sisodia, V.K. Dwivedi, A modified ratio estimator using coefficient of variation of auxiliary variable, Journal of Indian Society Agricultural Statistics 33 (1981) 13–18.
[3] H.P. Singh, M.S. Kakran, A modified ratio estimator using known coefficient of kurtosis of an auxiliary character, 1993 (unpublished).
[4] L.N. Upadhyaya, H.P. Singh, Use of transformed auxiliary variable in estimating the finite population mean, Biometrical Journal 41 (1999) 627–636.
[5] C. Kadilar, H. Cingi, Ratio estimators in stratified random sampling, Biometrical Journal 45 (2003) 218–225.
[6] C. Kadilar, H. Cingi, A new ratio estimator in stratified random sampling, Communications in Statistics: Theory and Methods 34 (2005) 597–602.
[7] K.M. Wolter, Introduction to Variance Estimation, Springer-Verlag, 1985.
[8] W.G. Cochran, Sampling Techniques, John Wiley and Sons, 1977.
[9] H. Cingi, Sampling Theory, Hacettepe University Press, 1994.
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