The ordering of experimental designs. A Hilbert space approach

Andrej Pázman

Kybernetika (1974)

  • Volume: 10, Issue: 5, page (373)-388
  • ISSN: 0023-5954

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Pázman, Andrej. "The ordering of experimental designs. A Hilbert space approach." Kybernetika 10.5 (1974): (373)-388. <http://eudml.org/doc/28032>.

@article{Pázman1974,
author = {Pázman, Andrej},
journal = {Kybernetika},
language = {eng},
number = {5},
pages = {(373)-388},
publisher = {Institute of Information Theory and Automation AS CR},
title = {The ordering of experimental designs. A Hilbert space approach},
url = {http://eudml.org/doc/28032},
volume = {10},
year = {1974},
}

TY - JOUR
AU - Pázman, Andrej
TI - The ordering of experimental designs. A Hilbert space approach
JO - Kybernetika
PY - 1974
PB - Institute of Information Theory and Automation AS CR
VL - 10
IS - 5
SP - (373)
EP - 388
LA - eng
UR - http://eudml.org/doc/28032
ER -

References

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  1. Aronszajn N., Theory of Reproducing Kernels, Trans. Amer. Math. Soc. 68 (1950), 337-404. (1950) Zbl0037.20701MR0051437
  2. Atwood C. L., Sequences Converging to D-optimal Designs of Experiments, Ann. of Statist. 1 (1973), 2, 342-352. (1973) Zbl0263.62047MR0356385
  3. Halmos P. R., Introduction to Hilbert Space, Chelsea Publ. Comp., New York 1957. (1957) Zbl0079.12404
  4. Kiefer J., Wolfowitz J., Optimum Designs in Regression Problems, Ann. Math. Statist. 30 (1959), 271-294. (1959) Zbl0090.11404MR0104324
  5. Kullback S., Information Theory and Statistics, Wiley, New York 1959. (1959) Zbl0088.10406MR0103557
  6. Линник Ю. В., Метод наименьших квадратов и основы математикостатистической теории обработки наблюдений, Москва 1962. (1962) Zbl1226.30001
  7. Parzen E., Regression Analysis of Continuous Parameter Time Series, Fourth Berkeley Symp. on Math. Statist, 1961, 469-490. (1961) Zbl0107.13802MR0146931
  8. Pázman A., Serejová D., Sekvenčné navrhovanie optimálnych experimentov, Report, Bratislava 1972. (1972) 
  9. Pázman A., Sequential Designs for Estimating s out of k Parameters, Acta metronomica 8 (1972), 4, Inst. for Measurement Theory, Bratislava. Also: A Convergence Theorem in the Theory of D-optimum Designs. Ann. of Statist. 2 (1974), 1, 216-218. (1972) 
  10. Stone M., Application of a Measure of Information to the Design and Comparison of Regression Experiments, Ann. Math. Statist. 30 (1959), 55-70. (1959) Zbl0094.13602MR0106528
  11. Wynn H. P., Results in the Theory and Construction of D-optimum Experimental Designs, J. Roy. Stat. Soc. B 34 (1972), 133-147. (1972) Zbl0248.62033MR0350987

Citations in EuDML Documents

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  1. Andrej Pázman, Plans d'expérience pour les estimations de fonctionnelles non-linéaires
  2. Andrej Pázman, Optimum designs of experiments for uncorrelated observations on fields
  3. Andrej Pázman, Optimum experimental designs with a lack of a priori information. I. Designs for the estimation of a finite-dimensional set of functionals
  4. František Štulajter, The linear filtration and prediction of indirectly observed random processes
  5. Andrej Pázman, Optimum experimental designs with a lack of a priori information. II. Designs for the estimation of the whole response function
  6. Andrej Pázman, Hilbert-space methods in experimental design

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