Dans cette Note, nous établissons des lois limites décrivant le comportement local du processus de Poisson composé construit à partir d'un processus de Poisson et d'une suite de variables aléatoires indépendantes et identiquement distribuées. Ces résultats sont motivés par leurs applications naturelles à la théorie des processus empiriques.
In this paper, we describe the local behaviour of compound Poisson processes based on a Poisson process and a sequence of independent and identically distributed random weights. These results are motived by their natural counterparts in the theory of empirical processes.
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@article{CRMATH_2002__334_8_705_0, author = {Maumy, Myriam}, title = {Sur les oscillations du processus de {Poisson} compos\'e}, journal = {Comptes Rendus. Math\'ematique}, pages = {705--708}, publisher = {Elsevier}, volume = {334}, number = {8}, year = {2002}, doi = {10.1016/S1631-073X(02)02293-8}, language = {fr}, url = {http://archive.numdam.org/articles/10.1016/S1631-073X(02)02293-8/} }
TY - JOUR AU - Maumy, Myriam TI - Sur les oscillations du processus de Poisson composé JO - Comptes Rendus. Mathématique PY - 2002 SP - 705 EP - 708 VL - 334 IS - 8 PB - Elsevier UR - http://archive.numdam.org/articles/10.1016/S1631-073X(02)02293-8/ DO - 10.1016/S1631-073X(02)02293-8 LA - fr ID - CRMATH_2002__334_8_705_0 ER -
%0 Journal Article %A Maumy, Myriam %T Sur les oscillations du processus de Poisson composé %J Comptes Rendus. Mathématique %D 2002 %P 705-708 %V 334 %N 8 %I Elsevier %U http://archive.numdam.org/articles/10.1016/S1631-073X(02)02293-8/ %R 10.1016/S1631-073X(02)02293-8 %G fr %F CRMATH_2002__334_8_705_0
Maumy, Myriam. Sur les oscillations du processus de Poisson composé. Comptes Rendus. Mathématique, Tome 334 (2002) no. 8, pp. 705-708. doi : 10.1016/S1631-073X(02)02293-8. http://archive.numdam.org/articles/10.1016/S1631-073X(02)02293-8/
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