Geodesic
Mathematical model for cyclic processes forecasting
Matematičeskoe modelirovanie, Tome 16 (2004) no. 4, pp. 47-54 
A. I. Bogdanov. Mathematical model for cyclic processes forecasting. Matematičeskoe modelirovanie, Tome 16 (2004) no. 4, pp. 47-54. http://geodesic.mathdoc.fr/item/MM_2004_16_4_a5/
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     url = {http://geodesic.mathdoc.fr/item/MM_2004_16_4_a5/}
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Voir la notice de l'article provenant de la source Math-Net.Ru

Mathematical model describes time series, including trend and cycles with changing amplitude and random period. Parameters estimation performs by Least Squares Method using statistical data between the first and last maximums. Author investigates the forecasts errors. This model was used for disease forecasting.

[1] Kendall M., Styuart A., Mnogomernyi statisticheskii analiz i vremennye ryady, Nauka, M., 1976, 736 pp. | MR

[2] Anderson T., Statisticheskii analiz vremennykh ryadov, Mir, M., 1976, 755 pp.

[3] Koneva E. S., “Vybor modelei dlya realnykh vremennykh ryadov (obzor)”, Avtomatika i telemekhanika, 1988, no. 6, 3–18 | MR | Zbl

[4] Fisher R. A., “Test of significance in harmonic analysis”, Proc. Roy. Soc., A129:1 (1929), 54–59 | DOI

[5] Kashyan R. L., Rao A. R., Postroenie dinamicheskikh stokhasticheskikh modelei po eksperimentalnym dannym, Nauka, M., 1983, 383 pp.

[6] Bolch B., Khuan K. Dzh., Mnogomernye statisticheskie metody dlya ekonomiki, Statistika, M., 1979, 317 pp.

[7] Borisenkova A. N., Slizneva I. V., Bogdanov A. I., Rozhdestvenskaya T. N., “Matematicheskaya model prognoza po bakterialnym boleznyam ptits v promyshlennom ptitsevodstve na osnove retrospektivnogo analiza”, Vetirinarnye i zooinzhenernye problemy zhivotnovodstva, Materialy mezhdunarodnoi prakticheskoi konferentsii, Vitebsk, 1996, 269

[8] Yanch E., Prognozirovanie nauchno-tekhnicheskogo progressa, Progress, M., 1974, 586 pp.

[9] Pugachev B. C., Teoriya veroyatnostei i matematicheskaya statistika, Nauka, M., 1979, 496 pp. | MR