On sait que sous des hypothèses d'intégrabilité adéquates, les sommes de Cesàro – d'ordre
It is known that under suitable integrability assumptions, the Cesàro sums – of order
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Florian Hechner 1
@article{CRMATH_2007__345_12_705_0, author = {Florian Hechner}, title = {Comportement asymptotique de sommes de {Ces\`aro} al\'eatoires}, journal = {Comptes Rendus. Math\'ematique}, pages = {705--708}, publisher = {Elsevier}, volume = {345}, number = {12}, year = {2007}, doi = {10.1016/j.crma.2007.11.004}, language = {fr}, }
Florian Hechner. Comportement asymptotique de sommes de Cesàro aléatoires. Comptes Rendus. Mathématique, Volume 345 (2007) no. 12, pp. 705-708. doi : 10.1016/j.crma.2007.11.004. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2007.11.004/
[1] Limiting behaviour of weighted sums of independent identically distributed random variables, Ann. Probab., Volume 1 (1973), pp. 810-823
[2] Stopping rules for
[3] Sur la convergence presque sûre, au sens de Cesàro d'ordre α,
[4] Stopping Times and Directed Processes, Encyclopedia of Mathematics and its Applications, vol. 47, Cambridge University Press, Cambridge, 1992
[5] An introduction to the theory of asymptotic martingales, Amarts and Set Function Processes, Lecture Notes in Mathematics, vol. 1042, Springer, Berlin, 1983
[6] When is
[7] Borel and Banach properties of methods of summation, Duke Math. J., Volume 22 (1955), pp. 129-141
[8] Sur les fonctions indépendantes, Fund. Math., Volume 29 (1937), pp. 60-90
[9] On the subspace of
- An extension of theorems of Hechner and Heinkel, Asymptotic laws and methods in stochastics. A volume in honour of Miklós Csörgő on the occasion of his 80th birthday. Proceedings of the international symposium on asymptotic methods in stochastics, Ottawa, Canada, July 3–6, 2012, Toronto: The Fields Institute for Research in the Mathematical Sciences; New York, NY: Springer, 2015, pp. 129-147 | DOI:10.1007/978-1-4939-3076-0_8 | Zbl:1368.60034
- The Marcinkiewicz-Zygmund LLN in Banach spaces: a generalized martingale approach, Journal of Theoretical Probability, Volume 23 (2010) no. 2, pp. 509-522 | DOI:10.1007/s10959-009-0212-z | Zbl:1202.60013
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