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Risk aggregation based on the Poisson INAR(1) process with periodic structure.
- Source :
-
Lithuanian Mathematical Journal . Oct2018, Vol. 58 Issue 4, p505-515. 11p. - Publication Year :
- 2018
-
Abstract
- In this paper, we consider a risk model by introducing a temporal dependence between the claim numbers under periodic environment, which generalizes several discrete-time risk models. The model proposed is based on the Poisson INAR(1) process with periodic structure. We study the moment-generating function of the aggregate claims. The distribution of the aggregate claims is discussed when the individual claim size is exponentially distributed. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 03631672
- Volume :
- 58
- Issue :
- 4
- Database :
- Academic Search Index
- Journal :
- Lithuanian Mathematical Journal
- Publication Type :
- Academic Journal
- Accession number :
- 133307931
- Full Text :
- https://doi.org/10.1007/s10986-018-9412-5