ON DOUBLE PERIODIC NON-HOMOGENEOUS POISSON PROCESSES
Non-homogenous Poisson processes with periodic claim intensity rate are proposed as the claim counting process of risk theory. We introduce a doubly periodic Poisson model with short and long term trends, illustrated by a double-beta intensity function. Here periodicity does not repeat the exact same short term pattern every year, but lets its peak intensity vary over a longer period. This model reflects periodic environments like those forming hurricanes, in alternating El Niño/La Niña years. The properties of the model are discussed in detail.
Year of publication: |
2002-10
|
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Authors: | Garrido, José ; Lu, Yi |
Institutions: | Departamento de Economía de la Empresa, Universidad Carlos III de Madrid |
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