STOCHASTIC OPTIMIZATION IN MULTIVARIATE STRATIFIED DOUBLE SAMPLING DESIGN
DOI:
https://doi.org/10.29121/ijetmr.v5.i1.2018.54Keywords:
Optimum Allocation, Stratified Double Sampling, Modified E-Model, Chance Constrained ProgrammingAbstract
This paper deals with optimum allocation of sample size in stratified double sampling when costs are considered as random in the objective function. When costs function are random, by applying modified E. model, objective function is converted into an equivalent deterministic form. A Numerical example is presented to illustrate the computational procedure and the problem is solved by using LINGO Software.
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Diaz Garcia, J. A., and Garay Tapia, M.M. Optimum allocation in Stratified surveys: Stochastic Programming, Computational Statistics and Data Analysis, 51, 2007, 3016-3026. DOI: https://doi.org/10.1016/j.csda.2006.01.016
Haseen, S., Iftekhar, S., Ahsan, M.J. and Bari, A. A Fuzzy Approach for Solving Double Sampling Design in Presence of Non-Response, International Journal of Engineering Science and Technology, 4, 2012, 2542-2551.
Iftekhar S., Ali Q. M., Ahsan M. J. Compromise Allocation for Combined Ratio Estimates of Population Means of a Multivariate Stratified Population Using Double Sampling in Presence of Non-Response” Open Journal of Optimization, 3, 2014, 68-78. DOI: https://doi.org/10.4236/ojop.2014.34007
Javaid, S., Bakhshi, Z. H. and Khalid, M. M. Optimum allocation in Stratified Sampling with random costs, International Review of Pure and Applied Mathematics, 5(2), 2009, 363-370.
Kall, P., Wallace, S.W. Stochastic programming, Wiley, New York. 1994.
Kokan, A. R. Optimum allocation in multivariate surveys. Journal of Royal Statistical Society, A, 126: 1963, 557-565. DOI: https://doi.org/10.2307/2982579
Kokan A.R., Khan S.U. Optimum allocation in multivariate surveys: an analytical solution. J R Stat Soc B., 29(1), 1967, 115–125. DOI: https://doi.org/10.1111/j.2517-6161.1967.tb00679.x
Kozak, M. On Stratified two stage Sampling: Optimum stratification and sample allocationbetween strata and sampling stages, Model Assisted Statistics and Applications, 1(1), 2005, 23- 29. DOI: https://doi.org/10.3233/MAS-2006-1105
Melaku, A. Asymptotic Normality of the optimum allocation in multivariate stratified random sampling, Indian J. Statist. 48 (Series B), 1986, 224-232.
Najmussehar, and Bari, A.: Double sampling for stratification with sub-sampling the nonrespondents: a dynamic programming approach,. The Aligarh Journal of Statistics, 22, 2002, 27- 41.
Neyman, J. Contribution to the theory of sampling human populations. Journal of the American Statistical Association, 33, 1938, 101-116. DOI: https://doi.org/10.1080/01621459.1938.10503378
Okafor, F. C. On double sampling for stratification with sub- sampling the non- respondents. Aligarh J Statist 14, 1994 13–23.
Prekopa, A. Stochastic Programming, Kluwer Academic Publishers, Series Mathematics and its Applications. 1995. DOI: https://doi.org/10.1007/978-94-017-3087-7_8
Rao, J. N. K. on double sampling for stratification and analytical surveys, Biometrika, 60, 1973, 125-133. DOI: https://doi.org/10.1093/biomet/60.1.125
Rao, S. S. Optimization Theory and Applications, Wiley Eastern Limited. 1979.
Saini M., Kumar A. Optimum Allocation in Stratified Two Stage Design by Using Double Sampling for Multivariate Surveys, Prob. Stat. Forum, 08, 2015, 19-23.
Varshney R., Najmussehar and Ahsan, M.J. An Optimum Multivariate Stratified Double Sampling Design in Non-Response” Optimization Letters, 6, 2011, 993-1008. DOI: https://doi.org/10.1007/s11590-011-0329-8
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