A Test for the Presence of a Signal, with Multiple Channels and Marked Poisson

Details A Test for the Presence of a Signal, with Multiple Channels and Marked Poisson A Test for the Presence of a Signal, with Multiple Channels and Marked Poisson

2008-07-14

arxiv.org/abs/0807.2149v2

Physics

Data Analysis, Statistics and Probability

21 pages, 6 figues

Scientific paper

We describe a statistical hypothesis test for the presence of a signal based on the likelihood ratio statistic. We derive the test for a special case of interest. We study extensions of the test to cases where there are multiple channels and to marked Poisson distributions. We show the results of a number of performance studies which indicate that the test works very well, even far out in the tails of the distribution and with multiple channels and marked Poisson.

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