Asymptotic normality of the optimal solution in multiresponse surface   methodology
  In this work is obtained an explicit form for the perturbation effect on the matrix of regression coefficients on the optimal solution in multiresponse surface methodology. 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 standard methods. 
Jos\'e A. D\'iaz-Garc\'ia and Francisco J. Caro-Lopera
math.ST stat.TH