Asymptotic Expansions on Moments of the First Ladder Height in Markov Random Walks with Small Drift

Let $\{(X_{n},\ S_{n}),\ n\geq 0\}$ be a Markov random walk in which $X_{n}$ takes values in a general state space and $S_{n}$ takes values on the real line ℝ. In this paper we present some results that are useful in the study of asymptotic approximations of boundary crossing problems for Markov ran...

Ausführliche Beschreibung

Bibliographische Detailangaben
Veröffentlicht in:Advances in Applied Probability. - Applied Probability Trust. - 39(2007), 3, Seite 826-852
1. Verfasser: Fuh, Cheng-Der (VerfasserIn)
Format: Online-Aufsatz
Sprache:English
Veröffentlicht: 2007
Zugriff auf das übergeordnete Werk:Advances in Applied Probability
Schlagworte:Boundary crossing probability ladder height distribution Markov-dependent Wald martingale overshoot Poisson equation uniform Markov renewal theory Mathematics Applied sciences