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Multi Criteria Decision Making Approach for Multivariate Stratified Sampling Problem
M.V.Ismail 1 , A.Razzaq 2
Section:Research Paper, Product Type: Isroset-Journal
Vol.6 ,
Issue.3 , pp.26-30, Jun-2019
CrossRef-DOI: https://doi.org/10.26438/ijsrmss/v6i3.2630
Online published on Jun 30, 2019
Copyright © M.V.Ismail , A.Razzaq . 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: M.V.Ismail , A.Razzaq, “Multi Criteria Decision Making Approach for Multivariate Stratified Sampling Problem,” International Journal of Scientific Research in Mathematical and Statistical Sciences, Vol.6, Issue.3, pp.26-30, 2019.
MLA Style Citation: M.V.Ismail , A.Razzaq "Multi Criteria Decision Making Approach for Multivariate Stratified Sampling Problem." International Journal of Scientific Research in Mathematical and Statistical Sciences 6.3 (2019): 26-30.
APA Style Citation: M.V.Ismail , A.Razzaq, (2019). Multi Criteria Decision Making Approach for Multivariate Stratified Sampling Problem. International Journal of Scientific Research in Mathematical and Statistical Sciences, 6(3), 26-30.
BibTex Style Citation:
@article{_2019,
author = {M.V.Ismail , A.Razzaq},
title = {Multi Criteria Decision Making Approach for Multivariate Stratified Sampling Problem},
journal = {International Journal of Scientific Research in Mathematical and Statistical Sciences},
issue_date = {6 2019},
volume = {6},
Issue = {3},
month = {6},
year = {2019},
issn = {2347-2693},
pages = {26-30},
url = {https://www.isroset.org/journal/IJSRMSS/full_paper_view.php?paper_id=1319},
doi = {https://doi.org/10.26438/ijcse/v6i3.2630}
publisher = {IJCSE, Indore, INDIA},
}
RIS Style Citation:
TY - JOUR
DO = {https://doi.org/10.26438/ijcse/v6i3.2630}
UR - https://www.isroset.org/journal/IJSRMSS/full_paper_view.php?paper_id=1319
TI - Multi Criteria Decision Making Approach for Multivariate Stratified Sampling Problem
T2 - International Journal of Scientific Research in Mathematical and Statistical Sciences
AU - M.V.Ismail , A.Razzaq
PY - 2019
DA - 2019/06/30
PB - IJCSE, Indore, INDIA
SP - 26-30
IS - 3
VL - 6
SN - 2347-2693
ER -
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Abstract :
In this paper, we consider the multivariate allocation problem with upper limits on the available costs for various characters. This problem is formulated as a multi criteria decision making (MCDM) problem with several convex objective functions and linear constraints. The cutting plane technique is used for linearizing the convex functions and then the optimum allocation is obtained by using MCDM approach. A numerical example is solved to illustrate the procedure.
Key-Words / Index Term :
Multivariate stratified sampling, optimum allocation, convex objective function, cutting plane technique, MCDM
References :
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[3] F. Yates, “Sampling methods for censuses and surveys(2nd ed.)”, Charles Griffin and Co. Ltd. London, 1960.
[4] W.G. Cochran, “Sampling Techniques”, John Wiley & Sons, New York, 1977.
[5] A.R. Kokan and S.U. Khan, “Optimum allocation in multivariate surveys-An analytical solution”, Jour. Roy. Stat. Soc. Ser. B, Vol. 29, pp.115-125, 1967.
[6] H. Aoyama, ” Stratified random sampling with optimum allocation for multivariate populations”, Ann. Inst. Stat. Math., Vol. 14, pp.251-258,1963.
[7] N. Jahan, M.I.M. Khan and M.J.Ahsan, “A generalized compromise allocation”, Journal of the Indian Statistical Association, Vol. 32, pp. 95-101, 1994.
[8] S. Chatterjee, “Multivariate Stratified Surveys”, Jour. Amer. Stat. Assoc., Vol. 63, pp. 530-534, 1968.
[9] J.R. Chromy, “Design optimization with multiple objectives”, Proceedings of the Survey Research Section, ASA, pp.194-199, 1987.
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