التفاصيل البيبلوغرافية
| العنوان: |
On Compromise Mixed Allocation in Multivariate Stratified Sampling with Random Parameters. |
| المؤلفون: |
Fatima, Ummatul, Varshney, Rahul, Najmussehar, Ahsan, M. J. |
| المصدر: |
Annual International Conference on Computational Mathematics, Computational Geometry & Statistics; 2013, p112-139, 28p |
| مصطلحات موضوعية: |
MULTIVARIATE analysis, SAMPLING (Process), PARAMETER estimation, CONSTRAINT satisfaction, STOCHASTIC programming, NONLINEAR programming, NUMERICAL analysis |
| مستخلص: |
For estimating the population mean Clark and Steel [1] worked out the optimum allocation of sample sizes to strata and stages with simple additional constraints to use different type of allocations in different strata. Ahsan et al. [2] used the same idea to work out optimum allocation in univariate stratified sampling and called it a 'Mixed Allocation'. Later on Varshney et al. [3] extended this work for multivariate stratified sampling and called it a compromise mixed allocation. This article presents a more realistic approach to the compromise mixed allocation by formulating the problem as a Stochastic Nonlinear Programming Problem in which the stratum-wise measurement costs and the sample stratum standard deviations are random variables with known probability distributions. The application of this approach is exhibited through a numerical example with assumed distributions of the random parameters. The proposed compromise mixed allocation is compared with some other well known compromise allocations. It is found that the author's proposed compromise mixed allocation is the most efficient allocation among the discussed allocations. A simulation study is also carried out to support the claim made by the authors on the basis of the results of the numerical example. [ABSTRACT FROM AUTHOR] |
|
Copyright of Annual International Conference on Computational Mathematics, Computational Geometry & Statistics is the property of Global Science & Technology Forum and its content may not be copied or emailed to multiple sites or posted to a listserv without the copyright holder's express written permission. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.) |
| قاعدة البيانات: |
Complementary Index |
