On Goodness of Fit Tests For Models of Neuronal Spike Trains Considered as Counting Processes

@inproceedings{Pouzat2008OnGO,
  title={On Goodness of Fit Tests For Models of Neuronal Spike Trains Considered as Counting Processes},
  author={Christophe Pouzat and Antoine Chaffiol},
  year={2008}
}
After an elementary derivation of the “time transformation”, mapping a counting process onto a homogeneous Poisson process with rate one, a brief review of Ogata’s goodness of fit tests is presented and a new test, the “Wiener process test”, is proposed. This test is based on a straightforward application of Donsker’s Theorem to the intervals of time transformed counting processes. The finite sample properties of the test are studied by Monte Carlo simulations. Performances on simulated as well… CONTINUE READING

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