Even faster and even more accurate first-passage time densities and distributions for the Wiener diffusion model

Gondan, Matthias and Blurton, Steven P. and Kesselmeier, Miriam (2014) Even faster and even more accurate first-passage time densities and distributions for the Wiener diffusion model. JOURNAL OF MATHEMATICAL PSYCHOLOGY, 60. pp. 20-22. ISSN 0022-2496, 1096-0880

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Abstract

The Wiener diffusion model with two absorbing barriers is often used to describe response times and error probabilities in two-choice decisions. Different representations exist for the density and cumulative distribution of first-passage times, all including infinite series, but with different convergence for small and large times. We present a method that controls the approximation error of the small-time representation that occurs due to finite truncation of these series. Our approach improves and simplifies related work by Navarro and Fuss (2009) and Blurton et al. (2012, both in the Journal of Mathematical Psychology). (C) 2014 Elsevier Inc. All rights reserved.

Item Type: Article
Uncontrolled Keywords: DECISION-MAKING; Diffusion model; Wiener process; First passage times; Response times
Subjects: 100 Philosophy & psychology > 150 Psychology
Depositing User: Dr. Gernot Deinzer
Date Deposited: 29 Nov 2019 08:53
Last Modified: 29 Nov 2019 08:55
URI: https://pred.uni-regensburg.de/id/eprint/10057

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