Title:
|
The ordering of experimental designs. A Hilbert space approach (English) |
Author:
|
Pázman, Andrej |
Language:
|
English |
Journal:
|
Kybernetika |
ISSN:
|
0023-5954 |
Volume:
|
10 |
Issue:
|
5 |
Year:
|
1974 |
Pages:
|
(373)-388 |
. |
Category:
|
math |
. |
MSC:
|
46Cxx |
MSC:
|
60G99 |
MSC:
|
62K05 |
MSC:
|
62K99 |
MSC:
|
62M99 |
idZBL:
|
Zbl 0291.62105 |
idMR:
|
MR0381170 |
. |
Date available:
|
2009-09-24T16:41:40Z |
Last updated:
|
2012-06-05 |
Stable URL:
|
http://hdl.handle.net/10338.dmlcz/124877 |
. |
Reference:
|
[1] Aronszajn N.: Theory of Reproducing Kernels.Trans. Amer. Math. Soc. 68 (1950), 337-404. Zbl 0037.20701, MR 0051437 |
Reference:
|
[2] Atwood C. L.: Sequences Converging to D-optimal Designs of Experiments.Ann. of Statist. 1 (1973), 2, 342-352. Zbl 0263.62047, MR 0356385 |
Reference:
|
[3] Halmos P. R.: Introduction to Hilbert Space.Chelsea Publ. Comp., New York 1957. Zbl 0079.12404 |
Reference:
|
[4] Kiefer J., Wolfowitz J.: Optimum Designs in Regression Problems.Ann. Math. Statist. 30 (1959), 271-294. Zbl 0090.11404, MR 0104324 |
Reference:
|
[5] Kullback S.: Information Theory and Statistics.Wiley, New York 1959. Zbl 0088.10406, MR 0103557 |
Reference:
|
[6] Линник Ю. В.: Метод наименьших квадратов и основы математикостатистической теории обработки наблюдений.Москва 1962. Zbl 1226.30001 |
Reference:
|
[7] Parzen E.: Regression Analysis of Continuous Parameter Time Series.Fourth Berkeley Symp. on Math. Statist, 1961, 469-490. Zbl 0107.13802, MR 0146931 |
Reference:
|
[8] Pázman A., Serejová D.: Sekvenčné navrhovanie optimálnych experimentov.Report, Bratislava 1972. |
Reference:
|
[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. |
Reference:
|
[10] Stone M.: 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 |
Reference:
|
[11] Wynn H. P.: Results in the Theory and Construction of D-optimum Experimental Designs.J. Roy. Stat. Soc. B 34 (1972), 133-147. Zbl 0248.62033, MR 0350987 |
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