A stochastic choice function is generated by some drift-diffusion model if and only if its stopping-time distribution equals the hitting-time distribution of Brownian motion with the data-revealed drift and boundary, which are uniquely identified.
(1966): Lectures on functional equations and their applications , vol
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Testing the Drift-Diffusion Model
A stochastic choice function is generated by some drift-diffusion model if and only if its stopping-time distribution equals the hitting-time distribution of Brownian motion with the data-revealed drift and boundary, which are uniquely identified.