Sur l'existence d'une plus petite sous-tribu exhaustive par paire

Harald Luschgy

Annales de l'I.H.P. Probabilités et statistiques (1978)

  • Volume: 14, Issue: 4, page 391-398
  • ISSN: 0246-0203

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Luschgy, Harald. "Sur l'existence d'une plus petite sous-tribu exhaustive par paire." Annales de l'I.H.P. Probabilités et statistiques 14.4 (1978): 391-398. <http://eudml.org/doc/77099>.

@article{Luschgy1978,
author = {Luschgy, Harald},
journal = {Annales de l'I.H.P. Probabilités et statistiques},
keywords = {Least Pairwise Sufficient Sigma Algebras; Existence; Sufficient Condition; Statistical Experiments},
language = {fre},
number = {4},
pages = {391-398},
publisher = {Gauthier-Villars},
title = {Sur l'existence d'une plus petite sous-tribu exhaustive par paire},
url = {http://eudml.org/doc/77099},
volume = {14},
year = {1978},
}

TY - JOUR
AU - Luschgy, Harald
TI - Sur l'existence d'une plus petite sous-tribu exhaustive par paire
JO - Annales de l'I.H.P. Probabilités et statistiques
PY - 1978
PB - Gauthier-Villars
VL - 14
IS - 4
SP - 391
EP - 398
LA - fre
KW - Least Pairwise Sufficient Sigma Algebras; Existence; Sufficient Condition; Statistical Experiments
UR - http://eudml.org/doc/77099
ER -

References

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  1. [1] N. Dunford et J.T. Schwartz, Linear operators, t. 1, New York, Interscience Publishers, 1958. Zbl0084.10402MR117523
  2. [2] P. Halmos et L.J. Savage, Application of the Radon-Nikodym theorem to the theory of sufficient statistics. Ann. Math. Stat., t. 20, 1949, p. 225-241. Zbl0034.07502MR30730
  3. [3] M.-F. Le Bihan, M. Littaye-Petit et J.-L. Petit, Exhaustivité par paire. C. R. Acad. Sci. Paris, t. 270, 1970, p. 1753-1756. MR267670
  4. [4] L. Le Cam, Sufficiency and approximate sufficiency. Ann. Math. Stat., t. 35, 1964, p. 1419-1455. Zbl0129.11202MR207093
  5. [5] M. Littaye-Petit, J.-L. Piednoir et B. Van Cutsem, Exhaustivité. Ann. Inst. H. Poincaré, Section B, t. 5, 1969, p. 289-322. Zbl0214.18001
  6. [6] H. Luschgy, Anmerkung zu einem Konvergenzsatz für Martingale mit nach links filtrierender Indexmenge. Z. Wahrscheinlichkeitstheorie verw. Geb., t. 30, 1974, p. 171-172. MR365694
  7. [7] T.S. Pitcher, A more general property than domination for sets of probability measures. Pacific J. Math., t. 15, 1965, p. 597-611. Zbl0251.62007MR182874
  8. [8] H.H. Schaefer, Banach lattices and positive operators. Berlin-Heidelberg-New York, Springer, 1974. Zbl0296.47023MR423039

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