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Robbins, H., Monro, S.: A stochastic approximation method. Ann. Math. Statist.22, 400–407 (1951)
Blum, J.R.: Approximation methods which converge with probability 1. Ann. Math. Statist.25, 382–386 (1954)
Chung, K.L.: On a stochastic approximation method. Ann. Math. Statist.25, 463–483 (1954)
Sacks, J.: Asymptotic distribution of stochastic approximation procedures. Ann. Math. Statist.29, 373–405 (1958)
Fabian, V.: On asymptotic normality in stochastic approximation. Ann. Math. Statist.39, 1327–1332 (1968)
Woodroofe, M.: Normal approximation and large deviations for the Robbins-Monro process. Z.Wahrscheinlichkeitstheorie verw. Gebiete21, 329–338 (1972)
Loéve, M.: Probability Theory. Princeton: Van Nostrand 1960
Venter, J.H.: On Dvoretzky Stochastic approximation theorems. Ann. Math. Statist.37, 1534–1544 (1966)
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Major, P., Révész, P. A limit theorem for the Robbins-Monro approximation. Z. Wahrscheinlichkeitstheorie verw Gebiete 27, 79–86 (1973). https://doi.org/10.1007/BF00736010
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DOI: https://doi.org/10.1007/BF00736010