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The ordering of experimental designs. A Hilbert space approach. (English) Zbl 0291.62105


MSC:

62K99 Design of statistical experiments
62M99 Inference from stochastic processes
46Cxx Inner product spaces and their generalizations, Hilbert spaces
60G99 Stochastic processes
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References:

[1] Aronszajn N.: Theory of Reproducing Kernels. Trans. Amer. Math. Soc. 68 (1950), 337-404. · Zbl 0037.20701 · doi:10.2307/1990404
[2] Atwood C. L.: Sequences Converging to D-optimal Designs of Experiments. Ann. of Statist. 1 (1973), 2, 342-352. · Zbl 0263.62047 · doi:10.1214/aos/1176342371
[3] Halmos P. R.: Introduction to Hilbert Space. Chelsea Publ. Comp., New York 1957. · Zbl 0079.12404
[4] Kiefer J., Wolfowitz J.: Optimum Designs in Regression Problems. Ann. Math. Statist. 30 (1959), 271-294. · Zbl 0090.11404 · doi:10.1214/aoms/1177706252
[5] Kullback S.: Information Theory and Statistics. Wiley, New York 1959. · Zbl 0088.10406
[6] Линник Ю. В.: Метод наименьших квадратов и основы математикостатистической теории обработки наблюдений. Москва 1962. · Zbl 1226.30001
[7] Parzen E.: Regression Analysis of Continuous Parameter Time Series. Fourth Berkeley Symp. on Math. Statist, 1961, 469-490. · Zbl 0107.13802
[8] Pázman A., Serejová D.: Sekvenčné navrhovanie optimálnych experimentov. Report, Bratislava 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.
[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 · doi:10.1214/aoms/1177706359
[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
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