A multivariate counting process with Weibull-distributed first-arrival times |
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Authors: | Francis Tuerlinckx |
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Affiliation: | Department of Psychology, University of Leuven, Tiensestraat 102, B-3000 Leuven, Belgium |
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Abstract: | In this paper, we study a method to construct a multivariate counting process with positive dependencies between the event occurrences. Conditional on a random effect with a positive stable distribution, the univariate counting processes are independent non-homogeneous Poisson processes with a power intensity function. The applicability of the model is illustrated in three examples: a horse race model with several dependent channels, a dependent parallel-counter model and an interactive coactivation model. |
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Keywords: | Response time models Accumulator models Coactivation model Race models Copula Random effect Poisson process |
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