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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
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Category: math
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MSC: 46Cxx
MSC: 60G99
MSC: 62K05
MSC: 62K99
MSC: 62M99
idZBL: Zbl 0291.62105
idMR: MR0381170
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Date available: 2009-09-24T16:41:40Z
Last updated: 2012-06-05
Stable URL: http://hdl.handle.net/10338.dmlcz/124877
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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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