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Plenary Talks<br />
CF6<br />
Thursday, September 5th<br />
17:00<br />
Stationary Count Time Series<br />
Robert Lund<br />
Clemson University<br />
This talk overviews the modeling of stationary count time series, detailing some history and recent<br />
breakthroughs. Classical work involving the discrete and integer autoregressive moving-average<br />
model classes is first reviewed. Drawbacks with these models are illuminated and used to motivate<br />
two more modern approaches: copulas and construction from stationary sequences of zeroes and<br />
ones. What emerges are very flexible model classes that are naturally parsimonious, can have<br />
negative autocorrelations and/or long-memory features, and can be statistically fitted by likelihood,<br />
composite likelihood, and/or moment methods. Various applications are pursued, including a<br />
bivariate hurricane count model with Poisson components that are negatively correlated.<br />
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