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Smooth dependence and the rate of convergence of the stochastic algorithm maximizing Gaussian probability

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References

  1. V. M. Aleksandrov, V. I. Sysoev, and V. V. Shemeniova, Stochastic optimization of systems,Izv. Akad. Nauk SSSR, Tekh. Kibernetika, 14–19 (1968).

  2. Ya. I. Al'ber, Some iterative methods of minimization in nonregular problems with estimations of rate of convergence,Izv. Akad. Nauk SSSR, Tekh. Kibernetika, 22–23 (1988).

  3. P. Gudynas, Approximation of distributions of sums of dependent Banach space valued random variables,Lith. Math. J.,23, 251–263 (1983).

    Google Scholar 

  4. P. Gudynas, Approximation by distributions of sums of conditionally independent random variables,Lith. Math. J.,24, 320–325 (1984).

    Google Scholar 

  5. P. Gudynas, Approximation by distributions of sums of smoothly dependent random variables,Lith. Math. J.,25, 330–343 (1985).

    Google Scholar 

  6. Jr. M. Kaniovskii, P. S. Knopov, and Z. V. Nekrylova,Limit Theorems for Processes of Stochastic Programming, Naukova Dumka, Kiev (1980).

    Google Scholar 

  7. L. Sakalauskas, On the convergence of one centering procedure,Lith. Math. J.,31, 469–474 (1976).

    Google Scholar 

  8. V. M. Zolotarev, Approximation of the distribution of sums of independent variables with values in infinitedimensional spaces,Teor. Veroyatn. Primen.,21, 741–758 (1976).

    Google Scholar 

  9. V. M. Zolotarev, Ideal metrics in the problem of approximating the distributions of sums of independent random variables,Teor. Veroyatn. Primen.,22, 449–465 (1977).

    Google Scholar 

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Institute of Mathematics and Informatics, Akademijos 4, 2600 Vilnius, Lithuania. Published in Lietuvos Matematikos Rinkinys, Vol. 32, No. 4, pp. 493–511, October–December, 1992.

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Gudynas, P. Smooth dependence and the rate of convergence of the stochastic algorithm maximizing Gaussian probability. Lith Math J 32, 385–399 (1992). https://doi.org/10.1007/BF00970672

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  • DOI: https://doi.org/10.1007/BF00970672

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