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| Titel: |
On a Maximin Strategy for Sampling Based on Selection Procedures from Several Populations |
| Auteur: |
Gupta, Shanti S. Huang, Wen-Tao |
| Verschenen in: |
Communications in statistics |
| Paginering: | Jaargang 3 (1974) nr. 4 pagina's 325-342 |
| Jaar: |
1974 |
| Inhoud: |
Let π1, π2, …, πk be k populations such that πi has cdf F (x; θi). It is permitted to draw n samples from each of these k populations and the sum of the n observations in the sample is considered to be the reward. It is desired to make the expected reward as large as possible. This problem is formulated as a game based on a selection procedure. The maximin strategy of the game formulated is used for the sampling scheme. Some properties of selection rules advantageous for the sampling scheme are studied. Sufficient conditions for the existence of the value of the game are given. The least favorable configuration for the game is found for the case where the populations are normal with common known variance. An asymptotic optimal property for the maximin strategy is shown to hold. |
| Uitgever: |
Taylor & Francis |
| Bronbestand: |
Elektronische Wetenschappelijke Tijdschriften |
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