Asymptotic Normality of the Optimal Solution in Multiresponse Surface Mathematical Programming
An explicit form for the perturbation effect on the matrix of regression coeffi- cients on the optimal solution in multiresponse surface methodology is obtained in this paper. Then, the sensitivity analysis of the optimal solution is studied and the critical point characterisation of the convex prog...
- Autores:
- Tipo de recurso:
- Fecha de publicación:
- 2015
- Institución:
- Universidad de Medellín
- Repositorio:
- Repositorio UDEM
- Idioma:
- eng
- OAI Identifier:
- oai:repository.udem.edu.co:11407/3471
- Acceso en línea:
- http://hdl.handle.net/11407/3471
- Palabra clave:
- Asymptotic normality
Multiresponse surface optimisation
Sensitivity analysis
Mathematical programming
- Rights
- openAccess
- License
- http://purl.org/coar/access_right/c_abf2
| Summary: | An explicit form for the perturbation effect on the matrix of regression coeffi- cients on the optimal solution in multiresponse surface methodology is obtained in this paper. Then, the sensitivity analysis of the optimal solution is studied and the critical point characterisation of the convex program, associated with the optimum of a multiresponse surface, is also analysed. Finally, the asymptotic normality of the optimal solution is derived by the standard methods. |
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