Geodesic
Design of an experiment in the robust estimation of the parameters of a~regression model from nonhomogeneous observations
Sibirskij žurnal industrialʹnoj matematiki, Tome 7 (2004) no. 4, pp. 92-106.

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D. V. Lisitsin. Design of an experiment in the robust estimation of the parameters of a~regression model from nonhomogeneous observations. Sibirskij žurnal industrialʹnoj matematiki, Tome 7 (2004) no. 4, pp. 92-106. http://geodesic.mathdoc.fr/item/SJIM_2004_7_4_a8/

[1] Aivazyan S. A., Enyukov I. S., Meshalkin L. D., Prikladnaya statistika: Issledovanie zavisimostei, Finansy i statistika, M., 1985 | MR

[2] Fedorov V. V., Teoriya optimalnogo planirovaniya eksperimenta (planirovanie regressionnykh eksperimentov), Nauka, M., 1971

[3] Denisov V. I., Matematicheskoe obespechenie sistemy EVM – eksperimentator, Nauka, M., 1977 | MR

[4] Khyuber P., Robastnost v statistike, Mir, M., 1984 | MR

[5] F. Khampel, E. Ronchetti, P. Rasseu, V. Shtael, Robastnost v statistike. Podkhod na osnove funktsii vliyaniya, Mir, M., 1989 | MR | Zbl

[6] Shurygin A. M., Prikladnaya stokhastika: robastnost, otsenivanie, prognoz, Finansy i statistika, M., 2000 | MR | Zbl

[7] Smolyak S. A., Titarenko B. P., Ustoichivye metody otsenivaniya: Statisticheskaya obrabotka neodnorodnykh sovokupnostei, Statistika, M., 1980

[8] Lisitsin D. V., “Radikalnye otsenki parametrov regressii pri oshibkakh, imeyuschikh dvustoronnee eksponentsialnoe raspredelenie”, Mezhdunar. nauch.-tekhn. konf. “Informatika i problemy telekommunikatsii”, Materialy konf. (Novosibirsk, 25–26 apr. 2002 g.), Novosibirsk, 2002, 128–130

[9] Lisitsin D. V., “Ustoichivoe otsenivanie regressii pri oshibkakh, imeyuschikh dvustoronnee eksponentsialnoe raspredelenie”, 6 Mezhdunar. konf. “Aktualnye problemy elektronnogo priborostroeniya APEP-2002”, Materialy konf., T. 6, Novosibirsk, 2002, 43–45

[10] Ermakov S. M., Zhiglyavskii A. A., Matematicheskaya teoriya optimalnogo eksperimenta, Nauka, M., 1987

[11] Fedorov V. V., “Aktivnye regressionnye eksperimenty”, Matematicheskie metody planirovaniya eksperimenta, Nauka, M., 1981

[12] Denisov V. I., Lisitsin D. V., Gavrilov K. V., “Planirovanie eksperimenta pri otsenivanii parametrov mnogofaktornoi modeli po neodnorodnym nablyudeniyam”, Sib. zhurn. industr. matematiki, 5:4(12) (2002), 14–28 | MR | Zbl

[13] Borovkov A. A., Matematicheskaya statistika, Nauka, Izd-vo In-ta matematiki, Novosibirsk, 1997 | MR

[14] Kassam S. A., Thomas J. B., “Asymptotically robust detection ofa known signal in contaminated non-gaussian noise”, IEEE Trans. Inform. Theory, 22 (1976), 22–26 | DOI | MR | Zbl

[15] Denisov V. I., Popov A. A., Paket programm optimalnogo planirovaniya eksperimenta, Finansy i statistika, M., 1986

[16] Denisov V. I., Popov A. A., Usloviya optimalnosti planov eksperimentov dlya funktsionalov tipa diskretnogo minimaksa, Dep. v VINITI, No 3731-78, Novosib. elektrotekhn. in-t, M., 1978

[17] Popov A. A., Optimalnoe planirovanie eksperimenta v zadachakh strukturnoi i parametricheskoi identifikatsii modelei mnogofaktornykh sistem, Dis. $\dots$ d-ra tekhn. nauk, Novosibirsk, 1997

[18] Mitchell T. J., “An algorithm for construction of $D$-optimal experimental designs”, Technometrics, 16 (1974), 203–210 | DOI | MR | Zbl