| Title:
|
On a hybrid experimental design (English) |
| Author:
|
Mikulecká, Jaroslava |
| Language:
|
English |
| Journal:
|
Kybernetika |
| ISSN:
|
0023-5954 |
| Volume:
|
19 |
| Issue:
|
1 |
| Year:
|
1983 |
| Pages:
|
1-14 |
| . |
| Category:
|
math |
| . |
| MSC:
|
62J05 |
| MSC:
|
62K05 |
| MSC:
|
62K99 |
| MSC:
|
90C25 |
| MSC:
|
90C90 |
| idZBL:
|
Zbl 0513.62076 |
| idMR:
|
MR710912 |
| . |
| Date available:
|
2009-09-24T17:31:45Z |
| Last updated:
|
2012-06-05 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/124466 |
| . |
| Reference:
|
[1] A. C. Atkinson: Planning experiments to detect inadequate regression models.Biometrika 59 (1972), 275-293. Zbl 0243.62046, MR 0334418 |
| Reference:
|
[2] A. C. Atkinson: Planning experiments for model testing and discrimination.Math. Operationsforsch. Statist. 6 (1975), 252-267. Zbl 0342.62049, MR 0408138 |
| Reference:
|
[3] D. M. Borth: A total entropy criterion for the dual problem of model discrimination and parameter estimation.J. Roy. Statist. Soc. Ser. B 37 (1975), 77-87. Zbl 0297.62061, MR 0375681 |
| Reference:
|
[4] V. V. Fedorov: Theory of Optimal Design.Nauka, Moskva, 1971. In Russian. MR 0403102 |
| Reference:
|
[5] V. V. Fedorov, A. Pázman: Design of physical experiments.Fortschr. Phys. 16 (1968), 325-355. |
| Reference:
|
[6] M. Hamala: Nonlinear Programming.ALFA, Bratislava 1972. In Slovak. |
| Reference:
|
[7] W. J. Hill W. G. Hunter, and D. W. Wichern: A joint design criterion for the dual problem of model discrimination and parameter estimation.Technometrics 10 (1968), 145-160. MR 0221680 |
| Reference:
|
[8] E. Lauter: Experimental design in a class of models.Math. Operationsforsch. Statist. 5 (1974), 379-398. MR 0440812 |
| Reference:
|
[9] J. Mikulecká: A Hybrid Optimal Design of Experiments.Ph. D. Dissertation, Comenius University, Bratislava 1981. In Slovak. |
| Reference:
|
[10] A. Pázman: A convergence theorem in the theory of D-optimum experimental designs.Ann. Statist. 2 (1974), 216-218. MR 0345348 |
| Reference:
|
[11] A. Pázman: Foundations of Optimization of Experiments.Veda, Bratislava 1980. In Slovak. |
| Reference:
|
[12] A. Pázman: Some features of the optimal design theory - A survey.Math. Operationsforsch. Statist. Ser. Statist. 11 (1980), 415-446. MR 0596522 |
| Reference:
|
[13] M. J. D. Powell: A method for nonlinear constrains in minimization problems.In: Optimization (R. Fletcher, ed.), Academic Press, London-New York 1969. MR 0272403 |
| Reference:
|
[14] R. T. Rockafellar: Convex Analysis.Princeton University Press, Princeton 1970. Zbl 0193.18401, MR 0274683 |
| Reference:
|
[15] R. T. Rockafellar: The multiplier method of Hestens and Powell applied to convex programming.J. Optim. Theory Appl. 12 (1973), 555-561. MR 0334953 |
| Reference:
|
[16] R. T. Rockafellar: A dual approach to solving nonlinear programming problems by unconstrained optimization.Math. Programming 5 (1973), 354-373. Zbl 0279.90035, MR 0371416 |
| Reference:
|
[17] S. M. Stigler: Optimal experimental design for polynomial regression.J. Amer. Statist. Assoc. 66 (1971), 311-318. Zbl 0217.51701 |
| . |
