Instant of disorder of random sequence detection's algorithm
Fundamentalʹnaâ i prikladnaâ matematika, Tome 8 (2002) no. 3, pp. 655-665.

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In this article the problem of search of random sequence's repeated disorders is considered. Here disorder is the instant of an uneven change of the first derivative of mathematical expectation. In this article the distribution-free detection's method, which is founded on univariate statistic, is proposed. Consistent estimates of number and co-ordinates of change points are obtained. Exponential convergence of errors of first and second kind to zero is proved.
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S. G. Vasiltchenko. Instant of disorder of random sequence detection's algorithm. Fundamentalʹnaâ i prikladnaâ matematika, Tome 8 (2002) no. 3, pp. 655-665. http://geodesic.mathdoc.fr/item/FPM_2002_8_3_a2/

[1] Brodskii B. E., Darkhovskii B. S., “Algoritm aposteriornogo obnaruzheniya mnogokratnykh razladok sluchainoi posledovatelnosti”, Avtomatika i telemekhanika, 1993, no. 1, 62–67 | MR | Zbl

[2] Petrov V. V., Summy nezavisimykh sluchainykh velichin, Nauka, M., 1972 | MR

[3] Petrov V. V., “Obobschenie i utochnenie neravenstv Bernshteina”, Vestnik Leningradskogo universiteta, 1967, no. 19, 63–68 | MR | Zbl

[4] Shiryaev A. N., Veroyatnost, Nauka, M., 1989 | MR

[5] Darkhovskii B. S., “Retrospektivnoe obnaruzhenie “razladki” v nekotorykh modelyakh regressionnogo tipa”, Teoriya veroyatnostei i ee primeneniya, 40:4 (1995), 898–903 | MR

[6] Darkhovskii B. S., “Metod retrospektivnogo otsenivaniya momentov izmeneniya koeffitsientov lineinoi regressii”, Avtomatika i telemekhanika, 1998, no. 8, 185–189 | MR | Zbl

[7] Brodskii B. E., Darkhovskii B. S., Kaplan A. Ya., Shishkin S. L., “Neparametricheskaya segmentatsiya elektricheskikh signalov mozga”, Avtomatika i telemekhanika, 1998, no. 2, 23–32 | Zbl