On a hybrid experimental design

Jaroslava Mikulecká

Kybernetika (1983)

  • Volume: 19, Issue: 1, page 1-14
  • ISSN: 0023-5954

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Mikulecká, Jaroslava. "On a hybrid experimental design." Kybernetika 19.1 (1983): 1-14. <http://eudml.org/doc/27621>.

@article{Mikulecká1983,
author = {Mikulecká, Jaroslava},
journal = {Kybernetika},
keywords = {BLUE; maximizing given functional of information matrix; model discrimination; parameter estimation; hybrid optimization criterion; iterative algorithm; convergence properties},
language = {eng},
number = {1},
pages = {1-14},
publisher = {Institute of Information Theory and Automation AS CR},
title = {On a hybrid experimental design},
url = {http://eudml.org/doc/27621},
volume = {19},
year = {1983},
}

TY - JOUR
AU - Mikulecká, Jaroslava
TI - On a hybrid experimental design
JO - Kybernetika
PY - 1983
PB - Institute of Information Theory and Automation AS CR
VL - 19
IS - 1
SP - 1
EP - 14
LA - eng
KW - BLUE; maximizing given functional of information matrix; model discrimination; parameter estimation; hybrid optimization criterion; iterative algorithm; convergence properties
UR - http://eudml.org/doc/27621
ER -

References

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  1. A. C. Atkinson, Planning experiments to detect inadequate regression models, Biometrika 59 (1972), 275-293. (1972) Zbl0243.62046MR0334418
  2. A. C. Atkinson, Planning experiments for model testing and discrimination, Math. Operationsforsch. Statist. 6 (1975), 252-267. (1975) Zbl0342.62049MR0408138
  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. (1975) Zbl0297.62061MR0375681
  4. V. V. Fedorov, Theory of Optimal Design, Nauka, Moskva, 1971. In Russian. (1971) MR0403102
  5. V. V. Fedorov, A. Pázman, Design of physical experiments, Fortschr. Phys. 16 (1968), 325-355. (1968) 
  6. M. Hamala, Nonlinear Programming, ALFA, Bratislava 1972. In Slovak. (1972) 
  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. (1968) MR0221680
  8. E. Lauter, Experimental design in a class of models, Math. Operationsforsch. Statist. 5 (1974), 379-398. (1974) MR0440812
  9. J. Mikulecká, A Hybrid Optimal Design of Experiments, Ph. D. Dissertation, Comenius University, Bratislava 1981. In Slovak. (1981) 
  10. A. Pázman, A convergence theorem in the theory of D-optimum experimental designs, Ann. Statist. 2 (1974), 216-218. (1974) MR0345348
  11. A. Pázman, Foundations of Optimization of Experiments, Veda, Bratislava 1980. In Slovak. (1980) 
  12. A. Pázman, Some features of the optimal design theory - A survey, Math. Operationsforsch. Statist. Ser. Statist. 11 (1980), 415-446. (1980) MR0596522
  13. M. J. D. Powell, A method for nonlinear constrains in minimization problems, In: Optimization (R. Fletcher, ed.), Academic Press, London-New York 1969. (1969) MR0272403
  14. R. T. Rockafellar, Convex Analysis, Princeton University Press, Princeton 1970. (1970) Zbl0193.18401MR0274683
  15. R. T. Rockafellar, The multiplier method of Hestens and Powell applied to convex programming, J. Optim. Theory Appl. 12 (1973), 555-561. (1973) MR0334953
  16. R. T. Rockafellar, A dual approach to solving nonlinear programming problems by unconstrained optimization, Math. Programming 5 (1973), 354-373. (1973) Zbl0279.90035MR0371416
  17. S. M. Stigler, Optimal experimental design for polynomial regression, J. Amer. Statist. Assoc. 66 (1971), 311-318. (1971) Zbl0217.51701

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