Exact formulas for the moments of the first passage time of reward processes

Let {Zρ(t), t ≥ 0} be a reward process based on a semi-Markov process {J (t), t ≥ 0} and a reward function ρ. Let Tz be the first passage time of {Zρ(t), t ≥ 0} from Zρ(0) = 0 to a prespecified level z. In this article we provide the Laplace transform of the E[T k z ] and obtain the exact formulas...

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Bibliographic Details
Main Author: G.A. Parham
Format: Article
Language:English
Published: Instituto Nacional de Estatística | Statistics Portugal 2005-06-01
Series:Revstat Statistical Journal
Subjects:
Online Access:https://revstat.ine.pt/index.php/REVSTAT/article/view/17