Doubly periodic non-homogeneous Poisson models for hurricane data
0502 economics and business
05 social sciences
DOI:
10.1016/j.stamet.2004.10.004
Publication Date:
2004-12-10T14:17:14Z
AUTHORS (2)
ABSTRACT
Abstract Non-homogeneous Poisson processes with periodic claim intensity rate have been proposed as claim counts in risk theory. Here a doubly periodic Poisson model with short- and long-term trends is studied. Beta-type intensity functions are presented as illustrations. The likelihood function and the maximum likelihood estimates of the model parameters are derived. Doubly periodic Poisson models are appropriate when the seasonality does not repeat exactly the same short-term pattern every year, but has a peak intensity that varies over a longer period. This reflects periodic environments like those forming hurricanes, in alternating El Nino/La Nina years. An application of the model to the data set of Atlantic hurricanes affecting the United States (1899–2000) is discussed in detail.
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