RT Generic T1 On double periodic non-homogeneous poisson processes A1 Garrido, José A1 Lu, Yi AB 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. YR 2002 FD 2002-10 LK https://hdl.handle.net/10016/70 UL https://hdl.handle.net/10016/70 LA eng DS e-Archivo RD 1 sept. 2024