Hilbert-space methods in experimental design

Andrej Pázman

Kybernetika (1978)

  • Volume: 14, Issue: 2, page (73)-84
  • ISSN: 0023-5954

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Pázman, Andrej. "Hilbert-space methods in experimental design." Kybernetika 14.2 (1978): (73)-84. <http://eudml.org/doc/28768>.

@article{Pázman1978,
author = {Pázman, Andrej},
journal = {Kybernetika},
language = {eng},
number = {2},
pages = {(73)-84},
publisher = {Institute of Information Theory and Automation AS CR},
title = {Hilbert-space methods in experimental design},
url = {http://eudml.org/doc/28768},
volume = {14},
year = {1978},
}

TY - JOUR
AU - Pázman, Andrej
TI - Hilbert-space methods in experimental design
JO - Kybernetika
PY - 1978
PB - Institute of Information Theory and Automation AS CR
VL - 14
IS - 2
SP - (73)
EP - 84
LA - eng
UR - http://eudml.org/doc/28768
ER -

References

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  2. C. L. Atwood, Convergent design sequences for sufficiently regular optimality criteria, Ann. of Statist. 4 (1976), 1124-1138. (1976) Zbl0344.62064MR0418352
  3. O. Bunke, Model choice and parameter estimation in regression analysis, Math. Operationsforsch. u. Statist. 4 (1973), 407-423. (1973) Zbl0277.62045MR0386170
  4. G. Elfving, Optimum allocation in linear regression, Ann. Math. Statist. 23 (1952), 255 - 262. (1952) Zbl0047.13403MR0047998
  5. B. B. Федоров, Теория оптимального эксперимента, Hayкa, Mocквa 1971. (1971) Zbl1170.92344
  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. (1967) 
  7. J. Fellman, On the allocation of linear observations, Comentationes Physico-Mathematicae (Helsinki) 44, 27-78. Zbl0303.62062MR0356369
  8. P. R. Halmos, Introduction to Hilbert space, Chelsea Publ. C. New York 1957. (1957) Zbl0079.12404
  9. S. Karlin W. J. Studden, Optimal experimental designs, Ann. Math. Statist. 37 (1966), 783-815. (1966) MR0196871
  10. J. Kiefer W. J. Studden, Optimum designs for large degree polynomial regression, Ann. of Statist. 4 (1976), 113-123. (1976) MR0423701
  11. J. Kiefer J. Wolfowitz, Optimum design in regression problems, Ann. Math. Statist. 30 (1959), 271-294. (1959) MR0104324
  12. B. B. Налимов, Теория эксперимента, Hayкa, Mocквa 1971. (1971) Zbl1170.92344
  13. J. Neveu, Processus aléatoires gaussiens, Lab. de Calcul des Probabilités, Univ. Paris VI, 1974. (1974) MR0272042
  14. K. R. Parthasarathy, Probability measures on metric spaces, Academic Press, New York and London 1967. (1967) Zbl0153.19101MR0226684
  15. A. Pázman, The ordering of experimental designs. A. Hilbert space approach, Kybernetika (Praha) 10 (1974), 373-388. (1974) MR0381170
  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. (1976) MR0420987
  17. A. Pázman, Plans d'expérience pour les estimations des functionnelles non-linéaires, Ann. de l'Institut Henri Poincaré B 13 (1977), 259-267. (1977) MR0455230
  18. S. D. Silvey D. M. Titterington, A geometric approach to optimal design theory, Biometrica 60 (1973), 21-32. (1973) MR0334428
  19. C. H. Coколов, Непрерывное планирование регрессионных экспериментов, Teoрия вероятностей 8 (1963), 95-101, 318-324. (1963) 
  20. M. Stone, Application of a measure of information to the design and comparison of regression experiments, Ann. Math. Statist. 30 (1959), 55 - 70. (1959) Zbl0094.13602MR0106528

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