The distributions of the time to reach a given level and the duration of negative surplus in the Erlang(2) risk model

David C.M. Dickson and Shuanming Li

Insurance: Mathematics and Economics, 2013, vol. 52, issue 3, 490-497

Abstract: We study the distributions of [1] the first time that the surplus reaches a given level and [2] the duration of negative surplus in a Sparre Andersen risk process with the inter-claim times being Erlang(2) distributed. These distributions can be obtained through the inversion of Laplace transforms using the inversion relationship for the Erlang(2) risk model given by Dickson and Li (2010).

Keywords: Sparre Andersen risk model; Erlang(2) inter-claim times; Generalised Lundberg equation; Duration of negative surplus; First hitting time; Laplace transform (search for similar items in EconPapers)
Date: 2013
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (5)

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0167668713000267
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:insuma:v:52:y:2013:i:3:p:490-497

DOI: 10.1016/j.insmatheco.2013.02.013

Access Statistics for this article

Insurance: Mathematics and Economics is currently edited by R. Kaas, Hansjoerg Albrecher, M. J. Goovaerts and E. S. W. Shiu

More articles in Insurance: Mathematics and Economics from Elsevier
Bibliographic data for series maintained by Catherine Liu ().