Une remarque sur le lemme de Borel-Cantelli

Alain Villeneuve

Publications du Département de mathématiques (Lyon) (1974)

  • Volume: 11, Issue: 4, page 1-25
  • ISSN: 0076-1656

How to cite

top

Villeneuve, Alain. "Une remarque sur le lemme de Borel-Cantelli." Publications du Département de mathématiques (Lyon) 11.4 (1974): 1-25. <http://eudml.org/doc/274282>.

@article{Villeneuve1974,
author = {Villeneuve, Alain},
journal = {Publications du Département de mathématiques (Lyon)},
language = {fre},
number = {4},
pages = {1-25},
publisher = {Université Claude Bernard - Lyon 1},
title = {Une remarque sur le lemme de Borel-Cantelli},
url = {http://eudml.org/doc/274282},
volume = {11},
year = {1974},
}

TY - JOUR
AU - Villeneuve, Alain
TI - Une remarque sur le lemme de Borel-Cantelli
JO - Publications du Département de mathématiques (Lyon)
PY - 1974
PB - Université Claude Bernard - Lyon 1
VL - 11
IS - 4
SP - 1
EP - 25
LA - fre
UR - http://eudml.org/doc/274282
ER -

References

top
  1. [1] Banach et Saks, Sur la convergence forte dans les espaces LP, Studia Math.2 (1930), p. 51-57. Zbl56.0932.01JFM56.0932.01
  2. [2] Blackwell and Freedman, The tail ?-field of a Markov chain and a theorem of Orey, Ann. Math. Statist.35 (1964), p. 1291-1295. Zbl0127.35204MR164375
  3. [3] Cramer, Random variables and probability distributions, Cambridge University Press (1970). Zbl0102.12701MR254895JFM63.1080.01
  4. [4] Erdos and Renyi, On cantor’s series with convergent k = 1 1 q k , Ann. Univ. Sci. Budapest, section Math. 2 (1959), p. 93-109. Zbl0095.26501MR126414
  5. [5] Fischler, Borel-Cantelli type theorems for mixing sets. Acta. Math. Acad. Sci. Hungar18 (1967), p. 67-69. Zbl0154.19203MR208626
  6. [6] Fischler, The strong law of large numbers for indicators of mixing sequences, Acta. Math. Acad. Sci. Hungar18 (1967), p. 71-81. Zbl0154.19202MR210175
  7. [7] Fischler, Decomposition and composition of mixing sequences, J. Math. Anal. Appl.21 (1968), p. 389-395. Zbl0239.60040MR221546
  8. [8] Renyi, On mixing sequences of sets, Acta. Math. Acad. Sci. Hungar. 9 (1958), p. 215-228. Zbl0089.13201MR98161
  9. [9] Renyi, On stable sequences of sets, Sankya Indian J. Statis., série A, vol. 25, part. 3 (1963), p. 293-302. Zbl0141.16401
  10. [10] Revesz, A generalization of the zero-one law, Ann. Univ. Sci. Budapest sect. Math. 2 (1959), p. 111-113. Zbl0091.30602MR126879
  11. [11] Sucheston, On mixing and the 0-1 law, J. Math. Anal. Appl.6 (1963), p. 447-456. Zbl0118.13504MR149524

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.