On the uniform almost sure convergence of losses for the repetition of a statistical decision problem

Stanislav Jílovec

Kybernetika (1970)

  • Volume: 06, Issue: 4, page (249)-269
  • ISSN: 0023-5954

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Jílovec, Stanislav. "On the uniform almost sure convergence of losses for the repetition of a statistical decision problem." Kybernetika 06.4 (1970): (249)-269. <http://eudml.org/doc/28467>.

@article{Jílovec1970,
author = {Jílovec, Stanislav},
journal = {Kybernetika},
language = {eng},
number = {4},
pages = {(249)-269},
publisher = {Institute of Information Theory and Automation AS CR},
title = {On the uniform almost sure convergence of losses for the repetition of a statistical decision problem},
url = {http://eudml.org/doc/28467},
volume = {06},
year = {1970},
}

TY - JOUR
AU - Jílovec, Stanislav
TI - On the uniform almost sure convergence of losses for the repetition of a statistical decision problem
JO - Kybernetika
PY - 1970
PB - Institute of Information Theory and Automation AS CR
VL - 06
IS - 4
SP - (249)
EP - 269
LA - eng
UR - http://eudml.org/doc/28467
ER -

References

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  2. P. R. Halmos, Measure Theory, New York 1950. (1950) Zbl0040.16802MR0033869
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  4. S. Jílovec B. Šubert, Repetitive Play of a Game against Nature, Aplikace matematiky 12 (1967), 383-397. (1967) MR0272414
  5. S. Jílovec, Последовательное повторение игры при неопределености, Kybernetika 3 (1967), 560-586. (1967) MR0246445
  6. S. Jílovec, Равномерная сходомость потерь в небайесовской модели статистического решения, Research report. ÚTIA-ČSAV, 1967. (1967) 
  7. S. Jílovec, O vlastnostech jednoho strategického postupu při opakovaném rozhodování, Research repor. ÚTIA-ČSAV, 1969. (1969) 
  8. M. Loève, Probability Theory, New York 1963. (1963) MR0123342
  9. E. Parzen, On Uniform Convergence of Families of Sequences of Random Variables, Univ. of California Publ. in Statist. 2 (1954), 23-54. (1954) Zbl0059.12303MR0061306
  10. E. Samuel, Asymptotic Solutions of the Sequential Compound Decision Problem, Ann. Math. Statist. 34 (1963), 1079-1094. (1963) Zbl0202.49102MR0173340
  11. E. Samuel, Convergence of the Losses of Certain Decision Rules for the Sequential Compound Decision Problem, Ann. Math. Statist. 35 (1964), 1606-1621. (1964) Zbl0134.35903MR0181073
  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. (1967) MR0230415
  13. B. Šubert, Repetitive Play of an Unknown Game Against Nature, Stanford University Report No. 6151-6153, December 1967. (1967) 
  14. J. Van Ryzin, The Sequential Compound Decision Problem with m × n Finite Loss Matrix, Ann. Math. Statist. 37 (1966), 954-975. (1966) Zbl0173.46303MR0198640
  15. J. Van Ryzin, Repetitive Play in Finite Statistical Games with Unknown Distributions, Ann. Math. Statist. 37 (1966), 976-994. (1966) Zbl0173.47802MR0196882

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