Multiplicative processes and power laws in human reaction times derived from hyperbolic functions

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• 作者：José ; M. Medina ; ^{jmanuel@fisica.uminho.pt}
• 关键词：RT ; Reaction time ; pdf ; Probability density function ; ISI ; Interspike interval
• 刊名：Physics Letters A
• 出版年：2012
• 出版时间：9 April, 2012
• 年：2012
• 卷：376
• 期：19
• 页码：1617-1623
• 全文大小：325 K

文摘

In sensory psychophysics reaction time is a measure of the stochastic latency elapsed from stimulus presentation until a sensory response occurs as soon as possible. A random multiplicative model of reaction time variability is investigated for generating the reaction time probability density functions. The model describes a generic class of hyperbolic functions by Pi¨¦ron?s law. The results demonstrate that reaction time distributions are the combination of log-normal with power law density functions. A transition from log-normal to power law behavior is found and depends on the transfer of information in neurons. The conditions to obtain Zipf?s law are analyzed.