Une remarque sur le lemme de Borel-Cantelli
Publications du Département de mathématiques (Lyon) (1974)
- Volume: 11, Issue: 4, page 1-25
- ISSN: 0076-1656
Access Full Article
topHow to cite
topVilleneuve, 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] Banach et Saks, Sur la convergence forte dans les espaces LP, Studia Math.2 (1930), p. 51-57. Zbl56.0932.01JFM56.0932.01
- [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] Cramer, Random variables and probability distributions, Cambridge University Press (1970). Zbl0102.12701MR254895JFM63.1080.01
- [4] Erdos and Renyi, On cantor’s series with convergent , Ann. Univ. Sci. Budapest, section Math. 2 (1959), p. 93-109. Zbl0095.26501MR126414
- [5] Fischler, Borel-Cantelli type theorems for mixing sets. Acta. Math. Acad. Sci. Hungar18 (1967), p. 67-69. Zbl0154.19203MR208626
- [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] Fischler, Decomposition and composition of mixing sequences, J. Math. Anal. Appl.21 (1968), p. 389-395. Zbl0239.60040MR221546
- [8] Renyi, On mixing sequences of sets, Acta. Math. Acad. Sci. Hungar. 9 (1958), p. 215-228. Zbl0089.13201MR98161
- [9] Renyi, On stable sequences of sets, Sankya Indian J. Statis., série A, vol. 25, part. 3 (1963), p. 293-302. Zbl0141.16401
- [10] Revesz, A generalization of the zero-one law, Ann. Univ. Sci. Budapest sect. Math. 2 (1959), p. 111-113. Zbl0091.30602MR126879
- [11] Sucheston, On mixing and the 0-1 law, J. Math. Anal. Appl.6 (1963), p. 447-456. Zbl0118.13504MR149524
NotesEmbed ?
topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.