| Title:
|
Hilbert-space methods in experimental design (English) |
| Author:
|
Pázman, Andrej |
| Language:
|
English |
| Journal:
|
Kybernetika |
| ISSN:
|
0023-5954 |
| Volume:
|
14 |
| Issue:
|
2 |
| Year:
|
1978 |
| Pages:
|
(73)-84 |
| . |
| Category:
|
math |
| . |
| MSC:
|
62K05 |
| MSC:
|
62K99 |
| MSC:
|
62M99 |
| idZBL:
|
Zbl 0385.62052 |
| idMR:
|
MR0478496 |
| . |
| Date available:
|
2009-09-24T17:00:35Z |
| Last updated:
|
2012-06-05 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/125614 |
| . |
| Reference:
|
[1] A. S. Atkinson V. V. Fedorov: The design of experiments for discriminating between two rival models.Biometrika 62 (1975), 57-69. MR 0370955 |
| Reference:
|
[2] C. L. Atwood: Convergent design sequences for sufficiently regular optimality criteria.Ann. of Statist. 4 (1976), 1124-1138. Zbl 0344.62064, MR 0418352 |
| Reference:
|
[3] O. Bunke: Model choice and parameter estimation in regression analysis.Math. Operationsforsch. u. Statist. 4 (1973), 407-423. Zbl 0277.62045, MR 0386170 |
| Reference:
|
[4] G. Elfving: Optimum allocation in linear regression.Ann. Math. Statist. 23 (1952), 255 - 262. Zbl 0047.13403, MR 0047998 |
| Reference:
|
[5] B. B. Федоров: Теория оптимального эксперимента.Hayкa, Mocквa 1971. Zbl 1170.92344 |
| Reference:
|
[6] V. V. Fedorov A. Pázman: Design of experiments based on the measure of information.Print N° E 5 - 3247 of the Joint Institute for Nuclear Research, Dubna (USSR) 1967. |
| Reference:
|
[7] J. Fellman: On the allocation of linear observations.Comentationes Physico-Mathematicae (Helsinki) 44, 27-78. Zbl 0303.62062, MR 0356369 |
| Reference:
|
[8] P. R. Halmos: Introduction to Hilbert space.Chelsea Publ. C. New York 1957. Zbl 0079.12404 |
| Reference:
|
[9] S. Karlin W. J. Studden: Optimal experimental designs.Ann. Math. Statist. 37 (1966), 783-815. MR 0196871 |
| Reference:
|
[10] J. Kiefer W. J. Studden: Optimum designs for large degree polynomial regression.Ann. of Statist. 4 (1976), 113-123. MR 0423701 |
| Reference:
|
[11] J. Kiefer J. Wolfowitz: Optimum design in regression problems.Ann. Math. Statist. 30 (1959), 271-294. MR 0104324 |
| Reference:
|
[12] B. B. Налимов: Теория эксперимента.Hayкa, Mocквa 1971. Zbl 1170.92344 |
| Reference:
|
[13] J. Neveu: Processus aléatoires gaussiens.Lab. de Calcul des Probabilités, Univ. Paris VI, 1974. MR 0272042 |
| Reference:
|
[14] K. R. Parthasarathy: Probability measures on metric spaces.Academic Press, New York and London 1967. Zbl 0153.19101, MR 0226684 |
| Reference:
|
[15] A. Pázman: The ordering of experimental designs. A. Hilbert space approach.Kybernetika (Praha) 10 (1974), 373-388. MR 0381170 |
| Reference:
|
[16] A. Pázman: Optimum experimental designs with a lack of a priori information II. - Designs for the estimation of the whole response function.Kybernetika (Praha) 12 (1976), 7-14. MR 0420987 |
| Reference:
|
[17] A. Pázman: Plans d'expérience pour les estimations des functionnelles non-linéaires.Ann. de l'Institut Henri Poincaré B 13 (1977), 259-267. MR 0455230 |
| Reference:
|
[18] S. D. Silvey D. M. Titterington: A geometric approach to optimal design theory.Biometrica 60 (1973), 21-32. MR 0334428 |
| Reference:
|
[19] C. H. Coколов: Непрерывное планирование регрессионных экспериментов.Teoрия вероятностей 8 (1963), 95-101, 318-324. |
| Reference:
|
[20] M. Stone: Application of a measure of information to the design and comparison of regression experiments.Ann. Math. Statist. 30 (1959), 55 - 70. Zbl 0094.13602, MR 0106528 |
| . |
