Open AccessAsymptotic normality of the optimal solution in multiresponse surface mathematical programming
Author(s) -
José A. Dı́az-Garcı́a,
Francisco J. Caro-Lopera
Publication year - 2015
Publication title -
metodološki zvezki
Language(s) - English
Resource type - Journals
eISSN - 1854-0031
pISSN - 1854-0023
DOI - 10.51936/bbsc6124
Subject(s) - mathematics , normality , surface (topology) , sensitivity (control systems) , perturbation (astronomy) , mathematical optimization , point (geometry) , regular polygon , statistics , engineering , geometry , physics , quantum mechanics , electronic engineering
An explicit form for the perturbation effect on the matrix of regression coefficients 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.