Artikel

On a discrete interaction risk model with delayed claims

We study a discrete-time interaction risk model with delayed claims within the framework of the compound binomial model. Using the technique of generating functions, we derive both a recursive formula and a defective renewal equation for the expected discounted penalty function. As applications, the probabilities of ruin and the joint distributions of the surplus one period to ruin and the deficit at ruin are investigated. Numerical illustrations are also given.

Language
Englisch

Bibliographic citation
Journal: Journal of Risk and Financial Management ; ISSN: 1911-8074 ; Volume: 8 ; Year: 2015 ; Issue: 4 ; Pages: 355-368 ; Basel: MDPI

Classification
Wirtschaft
Subject
discrete risk model
delayed claim
expected discounted penalty function
generating function
recursive equation
defective renewal equation

Event
Geistige Schöpfung
(who)
Liu, He
Bao, Zhenhua
Event
Veröffentlichung
(who)
MDPI
(where)
Basel
(when)
2015

DOI
doi:10.3390/jrfm8040355
Handle
Last update
10.03.2025, 11:43 AM CET

Data provider

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Object type

  • Artikel

Associated

  • Liu, He
  • Bao, Zhenhua
  • MDPI

Time of origin

  • 2015

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