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Multivariate Multi-Objective Allocation in Stratified Random Sampling: A Game Theoretic Approach
Yousaf Shad Muhammad1, Ijaz Hussain1, Alaa Mohamd Shoukry2
1Department of Statistics, Quaid-i-Azam University, Islamabad, Pakistan.
Abstract:
We consider the problem of multivariate multi-objective allocation where no or limited information is available within the stratum variance. Results show that a game theoretic approach (based on weighted goal programming) can be applied to sample size allocation problems. We use simulation technique to determine payoff matrix and to solve a minimax game.
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