@article{KYB_1990_26_6_a0,
author = {Ka\v{n}kov\'a, Vlasta},
title = {On the convergence rate of empirical estimates in chance constrained stochastic programming},
journal = {Kybernetika},
pages = {449--461},
year = {1990},
volume = {26},
number = {6},
mrnumber = {1089809},
zbl = {0721.90057},
language = {en},
url = {http://geodesic.mathdoc.fr/item/KYB_1990_26_6_a0/}
}
Kaňková, Vlasta. On the convergence rate of empirical estimates in chance constrained stochastic programming. Kybernetika, Tome 26 (1990) no. 6, pp. 449-461. http://geodesic.mathdoc.fr/item/KYB_1990_26_6_a0/
[1] P. Billingsley: Convergence of Probability Measures. J. Wiley, New York 1977. | MR
[2] А. В. Цыбакоб: Оценка точносту метода минимизации эмпиричецкого руска. Проблемы передачи информации 17 (1981), 1, 50 - 61. | MR | Zbl
[3] J. Dupačová: Stochastic programming with incomplete information: A survey of results on postoptimization and sensitivity analysis. Optimization 18 (1987), 4, 507-532. | MR
[4] J. Dupačová, R, Wets: Asymptotic behaviour of statistical estimators and the optimal solutions of stochastic optimization problems. Ann. Statist. 16 (1988), 4, 1517-1549. | MR
[5] W. Hoeffding: Probability inequalities for sums of bounded random variables. J. Amer. Statist. Assoc. 58 (1963), 301, 13-30. | MR | Zbl
[6] V. Kaňková: Optimum soJution of a stochastic problem with unknown parameters. In: Trans. Seventh Prague Conference, Academia, Prague 1977, pp. 239-244. | MR
[7] V. Kaňková: An approximative solution of a stochastic optimization problem. In:Trans. Eighth Prague Conference, Academia, Prague 1978, pp. 327-332. | MR
[8] V. Kaňková: Empirical estimates in stochastic programming. In: Trans. Tenth Prague Conference, Academia, Prague 1986.
[9] V. Kaňková: Estimates in stochastic programming - chance constrained case. Problems Control Inform. Theory 18 (1989), 4, 251-260. | MR
[10] W. Römisch, A. Wakolbinger: Obtaining convergence rates for approximations in stochastic programming. In: Parametric Optimization and Related Topics, Akademie-Verlag, Berlin 1987. | MR
[11] R. Wets: A Statistical Approach to the Solution of Stochastic Programs with (Convex) Simple Recourse. Research Report, Univ. Kentucky, Lexington, Kentucky 1979.
[11] S. Vogel: Stability results for stochastic programming problems. Optimization 19 (1988), 2, 269-288. | MR | Zbl