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Asymptotic Normality of the Optimal Solution in Multiresponse Surface Mathematical Programming
dc.creator | Díaz-García, José A. | spa |
dc.creator | Caro-Lopera, Francisco J. | spa |
dc.date.accessioned | 2017-06-15T22:05:23Z | |
dc.date.available | 2017-06-15T22:05:23Z | |
dc.date.created | 2015 | |
dc.identifier.citation | Díaz-García, J. A., & Caro-Lopera, F. J. (2015). Asymptotic Normality of the Optimal Solution in Multiresponse Surface Mathematical Programming. Metodoloski Zvezki, 12(1), 11-24 | spa |
dc.identifier.issn | 18540023 | |
dc.identifier.uri | http://hdl.handle.net/11407/3471 | |
dc.description | 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. | spa |
dc.language.iso | eng | |
dc.publisher | Faculty of Social Sciences, University of Ljubljana | spa |
dc.relation.isversionof | http://www.stat-d.si/mz/mz12.12/Diaz2015.pdf | spa |
dc.source | Metodoloski Zvezki | spa |
dc.subject | Asymptotic normality | spa |
dc.subject | Multiresponse surface optimisation | spa |
dc.subject | Sensitivity analysis | spa |
dc.subject | Mathematical programming | spa |
dc.title | Asymptotic Normality of the Optimal Solution in Multiresponse Surface Mathematical Programming | spa |
dc.type | Article | eng |
dc.rights.accessrights | info:eu-repo/semantics/openAccess | |
dc.rights.accessrights | info:eu-repo/semantics/openAccess | |
dc.publisher.program | Tronco común Ingenierías | spa |
dc.publisher.faculty | Facultad de Ciencias Básicas | spa |
dc.creator.affiliation | Díaz-García, José A.; Universidad Autónoma Agraria Antonio Narro | spa |
dc.creator.affiliation | Caro-Lopera, Francisco J.; Universidad de Medellín | spa |
dc.relation.ispartofes | Metodoloski zvezki, Vol. 12, No. 1, 2015, 11-24 | spa |
dc.relation.references | Aitchison, J. and S. D. Silvey, S. D. (1958): Maximum likelihood estimation of parameters subject to restraints. Annals of Mathematical Statistics, 29, 813–828. | spa |
dc.relation.references | Biles, W. E. (1975): A response surface method for experimental optimization of multi-response process. Industrial & Engeneering Chemistry Process Design Development, 14, 152-158. | spa |
dc.relation.references | Gigelow, J. H. and Shapiro, N. Z. (1974): Implicit function theorem for mathematical programming and for systems of iniqualities. Mathematical Programming, 6(2), 141– 156. | spa |
dc.relation.references | Bishop, Y. M. M., Finberg, S. E. and Holland, P. W. (1991): Discrete Multivariate Analysis: Theory and Practice. The MIT press, Cambridge. | spa |
dc.relation.references | Chatterjee, S. and Hadi, A. S. (1988): Sensitivity Analysis in Linear Regression. John Wiley: New York. | spa |
dc.relation.references | Cramer, H. (1946): ´ Mathematical Methods of Statistics. Princeton University Press, Princeton. | spa |
dc.relation.references | D´ıaz Garc´ıa, J. A. and Ramos-Quiroga, R. (2001): An approach to optimization in response surfaces. Communication in Statatistics, Part A- Theory and Methods, 30, 827–835. | spa |
dc.relation.references | D´ıaz Garc´ıa, J. A. and Ramos-Quiroga, R. (2002): Erratum. An approach to optimization in response surfaces. Communication in Statatistics, Part A- Theory and Methods, 31, 161. | spa |
dc.relation.references | Dupacov ˇ a, J. (1984): Stability in stochastic programming with recourse-estimated ´ parameters. Mathematical Programming, 28, 72–83. | spa |
dc.relation.references | Fiacco, A. V. and Ghaemi, A. (1982): Sensitivity analysis of a nonlinear structural design problem. Computers & Operations Research, 9(1), 29–55. | spa |
dc.relation.references | Jagannathan, R. (1977): Minimax procedure for a class of linear programs under uncertainty. Operations Research, 25, 173–177. | spa |
dc.relation.references | Kazemzadeh, R. B., Bashiri, M., Atkinson, A. C. and Noorossana, R. (2008): A General Framework for Multiresponse Optimization Problems Based on Goal Programming. European Journal of Operational Research, 189, 421-429. | spa |
dc.relation.references | Khuri, A. I. and Conlon, M. (1981): Simultaneous optimization of multiple responses represented by polynomial regression functions. Technometrics, 23, 363–375. | spa |
dc.relation.references | Khuri, A. I. and Cornell, J. A. (1987): Response Surfaces: Designs and Analysis. Marcel Dekker, Inc., NewYork. | spa |
dc.relation.references | Miettinen, K. M. (1999): Non linear multiobjective optimization. Kluwer Academic Publishers, Boston. | spa |
dc.relation.references | Muirhead, R. J. (1982): Aspects of multivariate statistical theory. Wiley Series in Probability and Mathematical Statistics, John Wiley & Sons, Inc., 1982. | spa |
dc.relation.references | Myers, R. H., Montgomery, D. C. and Anderson-Cook, C. M. (2009): Response surface methodology: process and product optimization using designed experiments. Third edition, Wiley, New York, . | spa |
dc.relation.references | Rao, C. R. (1973): Linear Statistical Inference and its Applications. (2nd ed.) John Wiley & Sons, New York. | spa |
dc.relation.references | Rao, S. S. (1979): Optimization Theory and Applications. Wiley Eastern Limited, New Delhi. | spa |
dc.relation.references | R´ıos, S., R´ıos Insua, S. and R´ıos Insua, M. J. (1989): Procesos de decision Multicri- ´ terio. EUDEMA, Madrid, (in Spanish). | spa |
dc.relation.references | Steuer, R. E. (1986): Multiple criteria optimization: Theory, computation and applications. John Wiley, New York. | spa |
dc.identifier.eissn | 18540031 | |
dc.type.driver | info:eu-repo/semantics/article |
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