@article{KYB_1970_6_4_a0,
author = {J{\'\i}lovec, Stanislav},
title = {On the uniform almost sure convergence of losses for the repetition of a statistical decision problem},
journal = {Kybernetika},
pages = {249--269},
year = {1970},
volume = {6},
number = {4},
mrnumber = {0286210},
zbl = {0204.51703},
language = {en},
url = {http://geodesic.mathdoc.fr/item/KYB_1970_6_4_a0/}
}
Jílovec, Stanislav. On the uniform almost sure convergence of losses for the repetition of a statistical decision problem. Kybernetika, Tome 6 (1970) no. 4, pp. 249-269. http://geodesic.mathdoc.fr/item/KYB_1970_6_4_a0/
[1] C. G. Esseen: On the Kolmogorov-Rogozin Inequality for the Concentration Function. Z. Wahrscheinlichkeitstheorie und Verw. Geb. 5 (1966), 210-216. | MR | Zbl
[2] P. R. Halmos: Measure Theory. New York 1950. | MR | Zbl
[3] J. Hannan: Approximation to Bayes Risk in Repeated Play. Contributions to the Theory of Games 3, 97-139. , | MR | Zbl
[4] S. Jílovec B. Šubert: Repetitive Play of a Game against Nature. Aplikace matematiky 12 (1967), 383-397. | MR
[5] S. Jílovec: Последовательное повторение игры при неопределености. Kybernetika 3 (1967), 560-586. | MR
[6] S. Jílovec: Равномерная сходомость потерь в небайесовской модели статистического решения. Research report. ÚTIA-ČSAV, 1967.
[7] S. Jílovec: O vlastnostech jednoho strategického postupu při opakovaném rozhodování. Research repor. ÚTIA-ČSAV, 1969.
[8] M. Loève: Probability Theory. New York 1963. | MR
[9] E. Parzen: On Uniform Convergence of Families of Sequences of Random Variables. Univ. of California Publ. in Statist. 2 (1954), 23-54. | MR | Zbl
[10] E. Samuel: Asymptotic Solutions of the Sequential Compound Decision Problem. Ann. Math. Statist. 34 (1963), 1079-1094. | MR | Zbl
[11] E. Samuel: Convergence of the Losses of Certain Decision Rules for the Sequential Compound Decision Problem. Ann. Math. Statist. 35 (1964), 1606-1621. | MR | Zbl
[12] B. Šubert: An Asymptotically Optimal Decision Procedure. Transaction of the Fourth Prague Conference on Information Theory, Statistical Decision Functions, Random Processes. Prague 1967, 573-587. | MR
[13] B. Šubert: Repetitive Play of an Unknown Game Against Nature. Stanford University Report No. 6151-6153, December 1967.
[14] J. Van Ryzin: The Sequential Compound Decision Problem with $m \times n$ Finite Loss Matrix. Ann. Math. Statist. 37 (1966), 954-975. | MR | Zbl
[15] J. Van Ryzin: Repetitive Play in Finite Statistical Games with Unknown Distributions. Ann. Math. Statist. 37 (1966), 976-994. | MR | Zbl