About the first crossing of the Poisson process with a curved upper boundary

ЗаглавиеAbout the first crossing of the Poisson process with a curved upper boundary
Вид публикацияJournal Article
Година на публикуване1999
АвториMarinov A, Jeliazkov J, Ignatov T
СписаниеAnnuaire de l’Université de Sofia “St. Kliment Ohridski”. Faculté de Mathématiques et Informatique
Том91
IssueLivre 1 - Mathématiques et Mecanique
Pagination97-105
ISSN0205-0808
ключови думиfirst crossing time, Poisson process, risk theory, upper boundary
Резюме

The paper is concerned with the distribution of the first crossing of a simple Poisson process trajectory with an upper boundary. Exact formula is derived when the upper boundary has a vertical asymptote.

1991/95 MSC

primary 60J75, secondary 60G40

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