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A multivariate counting process with Weibull-distributed first-arrival times
Authors:Francis Tuerlinckx
Affiliation:Department of Psychology, University of Leuven, Tiensestraat 102, B-3000 Leuven, Belgium
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.
Keywords:Response time models   Accumulator models   Coactivation model   Race models   Copula   Random effect   Poisson process
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