| Title:
|
On the uniform almost sure convergence of losses for the repetition of a statistical decision problem (English) |
| Title:
|
O skoro jistě stejnoměrné konvergenci ztrát při opakování statistického rozhodovacího problému (Czech) |
| Author:
|
Jílovec, Stanislav |
| Language:
|
English |
| Journal:
|
Kybernetika |
| ISSN:
|
0023-5954 |
| Volume:
|
6 |
| Issue:
|
4 |
| Year:
|
1970 |
| Pages:
|
(249)-269 |
| Summary lang:
|
Czech |
| . |
| Category:
|
math |
| . |
| MSC:
|
62.30 |
| idZBL:
|
Zbl 0204.51703 |
| idMR:
|
MR0286210 |
| . |
| Date available:
|
2009-09-24T16:11:04Z |
| Last updated:
|
2012-06-04 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/125312 |
| . |
| Reference:
|
[1] C. G. Esseen: On the Kolmogorov-Rogozin Inequality for the Concentration Function.Z. Wahrscheinlichkeitstheorie und Verw. Geb. 5 (1966), 210-216. Zbl 0142.14702, MR 0205297 |
| Reference:
|
[2] P. R. Halmos: Measure Theory.New York 1950. Zbl 0040.16802, MR 0033869 |
| Reference:
|
[3] J. Hannan: Approximation to Bayes Risk in Repeated Play.Contributions to the Theory of Games 3, 97-139. , Zbl 0078.32804, MR 0109094 |
| Reference:
|
[4] S. Jílovec B. Šubert: Repetitive Play of a Game against Nature.Aplikace matematiky 12 (1967), 383-397. MR 0272414 |
| Reference:
|
[5] S. Jílovec: Последовательное повторение игры при неопределености.Kybernetika 3 (1967), 560-586. MR 0246445 |
| Reference:
|
[6] S. Jílovec: Равномерная сходомость потерь в небайесовской модели статистического решения.Research report. ÚTIA-ČSAV, 1967. |
| Reference:
|
[7] S. Jílovec: O vlastnostech jednoho strategického postupu při opakovaném rozhodování.Research repor. ÚTIA-ČSAV, 1969. |
| Reference:
|
[8] M. Loève: Probability Theory.New York 1963. MR 0123342 |
| Reference:
|
[9] E. Parzen: On Uniform Convergence of Families of Sequences of Random Variables.Univ. of California Publ. in Statist. 2 (1954), 23-54. Zbl 0059.12303, MR 0061306 |
| Reference:
|
[10] E. Samuel: Asymptotic Solutions of the Sequential Compound Decision Problem.Ann. Math. Statist. 34 (1963), 1079-1094. Zbl 0202.49102, MR 0173340 |
| Reference:
|
[11] E. Samuel: Convergence of the Losses of Certain Decision Rules for the Sequential Compound Decision Problem.Ann. Math. Statist. 35 (1964), 1606-1621. Zbl 0134.35903, MR 0181073 |
| Reference:
|
[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 0230415 |
| Reference:
|
[13] B. Šubert: Repetitive Play of an Unknown Game Against Nature.Stanford University Report No. 6151-6153, December 1967. |
| Reference:
|
[14] J. Van Ryzin: The Sequential Compound Decision Problem with $m \times n$ Finite Loss Matrix.Ann. Math. Statist. 37 (1966), 954-975. Zbl 0173.46303, MR 0198640 |
| Reference:
|
[15] J. Van Ryzin: Repetitive Play in Finite Statistical Games with Unknown Distributions.Ann. Math. Statist. 37 (1966), 976-994. Zbl 0173.47802, MR 0196882 |
| . |
