Optimal design measures with singular information matrices
| Autor: | S. D. Silvey |
|---|---|
| Rok vydání: | 1978 |
| Předmět: |
Statistics and Probability
Optimal design Mathematical optimization Applied Mathematics General Mathematics Regular polygon Type (model theory) Agricultural and Biological Sciences (miscellaneous) Measure (mathematics) symbols.namesake Criterion function symbols Statistics Probability and Uncertainty General Agricultural and Biological Sciences Fisher information Mathematics |
| Zdroj: | Biometrika. 65:553-559 |
| ISSN: | 1464-3510 0006-3444 |
| DOI: | 10.1093/biomet/65.3.553 |
| Popis: | SUMMARY The problem of 'establishing a useful necessary and sufficient condition for a design measure with singular information matrix to be D,-optimal is well known. In this paper a sufficient condition involving a certain type of g-inverse is established for a more general convex criterion function to be minimized by such a design measure. The condition is necessary for DA-optimality and for a linear criterion function. There is some discussion about its necessity in general. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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