Advances in Differential Equations and Control Processes

The Advances in Differential Equations and Control Processes is an esteemed international journal indexed in the Emerging Sources Citation Index (ESCI). It publishes original research articles related to recent developments in both theory and applications of ordinary and partial differential equations, integral equations, and control theory. The journal highlights the interdisciplinary nature of these topics, with applications in physical, biological, environmental, and health sciences, mechanics, and engineering. It also considers survey articles that identify future avenues of advancement in the field.

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AN INTEGRO-DIFFERENTIAL EQUATION IN COMPOUND POISSON RISK MODEL WITH VARIABLE THRESHOLD DIVIDEND PAYMENT STRATEGY TO SHAREHOLDERS AND TAIL DEPENDENCE BETWEEN CLAIMS AMOUNTS AND INTER-CLAIM TIME

Authors

  • Kiswendsida Mahamoudou OUEDRAOGO
  • Delwendé Abdoul-Kabir KAFANDO
  • Francois Xavier OUEDRAOGO
  • Lassané SAWADOGO
  • Pierre Clovis NITIEMA

Keywords:

Gerber-Shiu function, copula, integro-differential equation, ruin probability.

DOI:

https://doi.org/10.17654/0974324323023

Abstract

This article is an extension of the compound Poisson risk model with variable threshold dividend payment strategy to shareholders and a dependence between claims amounts and inter-claim times via Spearman copula. We find the integro-differential equation associated to this risk model.

Received: October 6, 2023
Accepted: November 21, 2023

References

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Published

2023-12-02

Issue

Section

Articles

How to Cite

AN INTEGRO-DIFFERENTIAL EQUATION IN COMPOUND POISSON RISK MODEL WITH VARIABLE THRESHOLD DIVIDEND PAYMENT STRATEGY TO SHAREHOLDERS AND TAIL DEPENDENCE BETWEEN CLAIMS AMOUNTS AND INTER-CLAIM TIME. (2023). Advances in Differential Equations and Control Processes, 30(4), 413-429. https://doi.org/10.17654/0974324323023

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