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Two-phase Ratio-type Estimator of a Finite Population Mean

P. A. Patel1 , F. H. Shah2

Section:Research Paper, Product Type: Isroset-Journal
Vol.5 , Issue.5 , pp.199-203, Oct-2018


CrossRef-DOI:   https://doi.org/10.26438/ijsrmss/v5i5.199203


Online published on Oct 31, 2018


Copyright © P. A. Patel , F. H. Shah . 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: P. A. Patel , F. H. Shah, “Two-phase Ratio-type Estimator of a Finite Population Mean,” International Journal of Scientific Research in Mathematical and Statistical Sciences, Vol.5, Issue.5, pp.199-203, 2018.

MLA Style Citation: P. A. Patel , F. H. Shah "Two-phase Ratio-type Estimator of a Finite Population Mean." International Journal of Scientific Research in Mathematical and Statistical Sciences 5.5 (2018): 199-203.

APA Style Citation: P. A. Patel , F. H. Shah, (2018). Two-phase Ratio-type Estimator of a Finite Population Mean. International Journal of Scientific Research in Mathematical and Statistical Sciences, 5(5), 199-203.

BibTex Style Citation:
@article{Patel_2018,
author = {P. A. Patel , F. H. Shah},
title = {Two-phase Ratio-type Estimator of a Finite Population Mean},
journal = {International Journal of Scientific Research in Mathematical and Statistical Sciences},
issue_date = {10 2018},
volume = {5},
Issue = {5},
month = {10},
year = {2018},
issn = {2347-2693},
pages = {199-203},
url = {https://www.isroset.org/journal/IJSRMSS/full_paper_view.php?paper_id=888},
doi = {https://doi.org/10.26438/ijcse/v5i5.199203}
publisher = {IJCSE, Indore, INDIA},
}

RIS Style Citation:
TY - JOUR
DO = {https://doi.org/10.26438/ijcse/v5i5.199203}
UR - https://www.isroset.org/journal/IJSRMSS/full_paper_view.php?paper_id=888
TI - Two-phase Ratio-type Estimator of a Finite Population Mean
T2 - International Journal of Scientific Research in Mathematical and Statistical Sciences
AU - P. A. Patel , F. H. Shah
PY - 2018
DA - 2018/10/31
PB - IJCSE, Indore, INDIA
SP - 199-203
IS - 5
VL - 5
SN - 2347-2693
ER -

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Abstract :
This paper deals with the estimation of a finite population mean under two-phase sampling in presence of two auxiliary variables. A ratio-type estimator is proposed and its approximate properties are presented. An empirical study is carried out using three natural populations to compare the performance of the proposed estimator with other estimators discussed in this paper.

Key-Words / Index Term :
Auxiliary variables, mean square error (MSE), ratio and regression estimators, simulation, two-phase sampling

References :
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[11] A. Stuart and K. Ord, “Kendall`s Advanced Theory of Statistics”, Volume 1, Distribution Theory, 4th Edition, Wiley Publications, 1987.
[12] H. P. Singh, R.Tailor, and M. S. Kakaran, “An estimator of Population mean using power transformation”, J.I.S.A.S., 58(2),pp. 223-230,2004.
[13] J. D. Jobson, “Applied Multivariate Data Analysis”, Vol. II, Springer-Verlag, New York, 1992.
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