Point Processes with a Generalized Order Statistic Property |
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| Authors: | Birgit Debrabant |
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| Affiliation: | 1. Department of Biostatistics and Department of Epidemiology , University of Southern Denmark , Odense , Denmark bdebrabant@health.sdu.dk |
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| Abstract: | Mixed Poisson processes are characterized by a well-known order statistic property: their occurrence times are distributed like ordinary uniform order statistics, given the state of the process at a certain time. We study a generalization of this property using a generalized model of ordered random variables, including a sequence of real parameters. |
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| Keywords: | Conditional uniformity Mixed Poisson processes Order statistics Point processes |
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