A discrete-time risk model with Poisson ARCH claim-number process. Issue 16 (17th August 2020)

• Record Type: Journal Article
• Authors: Li, Jiahui; Yuen, Kam Chuen; Chen, Mi
• Is Part Of: Communications in statistics. Volume 49:Issue 16(2020)
• Page Start: 3965
• Page End: 3984
• Publication Date: 2020-08-17
• Subjects: Adjustment coefficient -- discrete-time risk model -- integer-valued time series -- Poisson ARCH process -- ruin probability; Mathematical statistics -- Periodicals; Mathematics; Statistics; 519.2
• DOI: 10.1080/03610926.2019.1594296
• Languages: English
• ISSNs: 0361-0926

Abstract

Abstract: In this paper, we propose a discrete-time risk model with the claim number following an integer-valued autoregressive conditional heteroscedasticity (ARCH) process with Poisson deviates. In this model, the current claim number depends on the previous observations. Within this framework, the equation for finding the adjustment coefficient is derived. Numerical studies are also carried out to examine the impact of the Poisson ARCH dependence structure on the ruin probability.