English

Response surface methodology: Asymptotic normality of the optimal solution

Statistics Theory 2012-03-27 v1 Statistics Theory

Abstract

Sensitivity analysis of the optimal solution in response surface methodology is studied and an explicit form of the effect of perturbation of the regression coefficients on the optimal solution is obtained. The characterisation of the critical point of the convex program corresponding to the optimum of a response surface model is also studied. The asymptotic normality of the optimal solution follows by standard methods.

Keywords

Cite

@article{arxiv.1203.5587,
  title  = {Response surface methodology: Asymptotic normality of the optimal solution},
  author = {Jose A. Diaz-Garcia and Jose E. Rodriguez and Rogelio Ramos-Quiroga},
  journal= {arXiv preprint arXiv:1203.5587},
  year   = {2012}
}

Comments

10 pages

R2 v1 2026-06-21T20:39:42.135Z