Absolute ruin in the compound Poisson risk model with constant dividend barrier

Haili Yuan and Yijun Hu

Statistics & Probability Letters, 2008, vol. 78, issue 14, 2086-2094

Abstract: We investigate the absolute ruin in the compound Poisson risk model with nonnegative interest and a constant dividend barrier. An integro-differential equation satisfied by the absolute ruin probability, the distribution and moments of deficit at the time to absolute ruin is derived. In the case of exponential individual claim, the explicit expressions are given. Finally, by a "renewal" argument, which is different from the martingale approach, an integro-differential equation satisfied by the conditional probability of recovery is derived, based on which the probability of recovery is formulated. In the case of exponential individual claim, the explicit expression for the probability of recovery is also given.

Date: 2008
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (3)

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0167-7152(08)00081-3
Full text for ScienceDirect subscribers only

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:stapro:v:78:y:2008:i:14:p:2086-2094

Ordering information: This journal article can be ordered from
http://www.elsevier.com/wps/find/supportfaq.cws_home/regional
https://shop.elsevie ... _01_ooc_1&version=01

Access Statistics for this article

Statistics & Probability Letters is currently edited by Somnath Datta and Hira L. Koul

More articles in Statistics & Probability Letters from Elsevier
Bibliographic data for series maintained by Catherine Liu ().