Decision functions and the minimax principle

Václav Fabian

Časopis pro pěstování matematiky (1956)

  • Volume: 081, Issue: 3, page 272-286
  • ISSN: 0528-2195

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Fabian, Václav. "Rozhodovací funkce a princip minimaxu." Časopis pro pěstování matematiky 081.3 (1956): 272-286. <http://eudml.org/doc/20569>.

@article{Fabian1956,
author = {Fabian, Václav},
journal = {Časopis pro pěstování matematiky},
keywords = {statistics},
language = {cze},
number = {3},
pages = {272-286},
publisher = {Mathematical Institute of the Czechoslovak Academy of Sciences},
title = {Rozhodovací funkce a princip minimaxu},
url = {http://eudml.org/doc/20569},
volume = {081},
year = {1956},
}

TY - JOUR
AU - Fabian, Václav
TI - Rozhodovací funkce a princip minimaxu
JO - Časopis pro pěstování matematiky
PY - 1956
PB - Mathematical Institute of the Czechoslovak Academy of Sciences
VL - 081
IS - 3
SP - 272
EP - 286
LA - cze
KW - statistics
UR - http://eudml.org/doc/20569
ER -

References

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  1. R. R. Bahadur, Sufficiency and Statistical Decision Functions, Annals of Mathematical Statistics 25, str. 423-462. Zbl0065.12103MR0063630
  2. Robert E. Bechhofer, A Single Sample Multiple Decision Procedure for Ranking Means of Normal Populations with Known Variances, Annals of Mathematical Statistics 25, str. 16-39. Zbl0055.13003MR0060197
  3. Allan Birnbaum, Admissible Tests for the Mean of a Rectangular Distribution, Annals of Mathematical Statistics 25, str. 157--161. Zbl0055.13001MR0060192
  4. David Blackwell, On the Translation Parameter Problem of Discrete Variables, Annals of Mathematical Statistics, 22, str. 393-399. Zbl0043.13802MR0043418
  5. V. Fabian A. Špaček, Experience in Statistical Decision Problems, Čech. mat. žurn. 6 (81), 1956. (1956) Zbl0075.15002MR0086468
  6. Dvoretzky, Wolfowitz, Wald, Elimination of Randomization in Certain Statistical Decision Procedures and Zero-sum Two-person Games, Annals of Mathematical Statistics 22, str. 1-21. Zbl0044.15003MR0039228
  7. D. Blackwell M. A. Girshick, Theory of Games and Statistical Decisions, John Wiley and Sons, 1954., (1954) Zbl0056.36303MR0070134
  8. P. Frank, J. Kiefer, Almost Subminimax and Biased Minimax Procedures, Annals of Mathematical Statistics 22, str. 465-468. Zbl0043.34601MR0042655
  9. M. A. Girshick, L. J. Savage, Bayes and Minimax Estimates for Quadratic Loss Functions, Proceedings of the Second Berkeley Symposium on Mathematical Statistics and Probability (1951), str. 149-158. (1951) Zbl0045.41002MR0045365
  10. J. L. Hodges, E. L. Lehmann, Some Problems in Minimax Estimation, Annals of Mathematical Statistics 21, str. 182-197. 
  11. J. L. Hodges, E. L. Lehmann, Using Previous Experiance in Reaching Statistical Decisions, Annals of Mathematical Statistics 23, str. 396-407. Zbl0047.38306
  12. E. L. Lehmann, Some Principles of the Theory of Testing Hypotheses, Annals of Mathematical Statistics 21, str. 1-28. Zbl0036.09501MR0034001
  13. E. L. Lehmann, C. M. Stein, The Admissibility of Certain Invariant Statistical Tests Involving a Translation Parameter, Annals of Mathematical Statistics 24, str. 473-479. Zbl0051.10902MR0056249
  14. D. V. Lindley, Statistical Inference, Journal of the Royal Statistical Society, Series B (Methodolical) XV, str. 21-65. Zbl0706.62098
  15. Herbert Robbins, Asymptotically Subminimax Solutions of Compound Statistical Decisions Problems, Proceedings of the Second Berkeley Symposium on Mathematical Statistics and Probability (1951), str. 131-148. (1951) Zbl0044.14803MR0044803
  16. Abraham Wald, Statistical Decision Functions, New York 1950. (1950) MR0036976
  17. A. Wald, J. Wolfowitz, Two Methods of Randomization in Statistics and the Theory of Games, Annals of Mathematics 53, str. 581-586. Zbl0042.38401MR0042657
  18. A. Wald, J. Wolfowitz, Characterization of the Minimal Complete Class of Decision Functions when the Number of Distributions and Decisions is Finite, Proceedings of the Second Berkeley Symposium on Mathematical Statistics and Probability (1951), str. 149-158. (1951) Zbl0044.14903MR0046003
  19. J. Wolfowitz, On e-Classes of Decision Functions, Annals of Mathematical Statistics 22, str. 461-464. Zbl0043.34801MR0042656

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