Abstract
Upper and lower bounds for the reaction-time distribution function in parallel processing models. Colonius and co-workers proposed a terminology for stochastic models of information processing, in which a parallel system is called k th-terminating if it initiates a response as soon as the channel k finishes processing, having n active channels. The authors (Colonius, H. and Vorberg, D. (1994). Distribution Inequalities for Parallel Models with Unlimited Capacity. Journal of Mathematical Psychology, 38, 35-58; Colonius, H. and Ellermeier, W. (1997). Distribution Inequalities for Parallel Models of Reaction Time with an Application to Auditory Profile Analysis. Journal of Mathematical Psychology, 41, 19-27) also developed a methodology to evaluate the upper and lower bounds for the reaction-time distribution functions in a k th-terminating parallel system with an unlimited processing capacity assumption and k values equal to one, two or n. That work is extended here to the case of any k value, by using a similar methodology, considering the distribution functions of the reaction times as joint probabilities and using Bonferroni-type inequalities.
