Abstract
We study the one-sided convergence of the modified Anbar’s process in previously unexplored cases of the choice of the sequence of steps.
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Anbar, D., A Modified Robbins–Monro Procedure Approximating the Zero of a Regression from Below, Ann. Statist., 1977, vol. 5, no. 1, pp. 229–234.
Gaposhkin, V.F. and Krasulina, T.P., On the Repeated Logarithm Law in Stochastic Approximation Processes, Teor. Veroyat. Primen., 1974, vol. 19, no. 4, pp. 879–886.
Doob, J.L., Stochastic Processes, New York: Wiley, 1953. Translated under the title Veroyatnostnye protsessy, Moscow: Inostrannaya Literatura, 1956.
Loeve, M., Probability Theory, New York: Springer, 1977. Translated under the title Teoriya veroyatnostei, Moscow: Inostrannaya Literatura, 1962.
Gladyshev, E.G., On Stochastic Approximation, Teor. Veroyat. Primen., 1965, vol. 10, no. 2, pp. 297–300.
Nevel’son, M.B. and Khas’minskii, R.Z., Stokhasticheskaya approksimatsiya i rekurrentnoe otsenivanie (Stochastic Approximation and Recurrent Estimation), Moscow: Nauka, 1972.
Krasulina, T.P., Finding Fixed Points of Functions with Stochastic Approximation Methods, Vestn. S.-Peterburg. Gos. Univ., Ser. 1, 2017, no. 1, pp. 22–24.
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Original Russian Text © T.P. Krasulina, 2018, published in Avtomatika i Telemekhanika, 2018, No. 2, pp. 106–108.
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Krasulina, T.P. On One-Sided Convergence of a Modified Stochastic Approximation Process. Autom Remote Control 79, 286–288 (2018). https://doi.org/10.1134/S0005117918020078
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DOI: https://doi.org/10.1134/S0005117918020078