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A random utility family that includes many of the ‘classical’ models and has closed form choice probabilities and choice reaction times
Author(s) -
Marley A. A. J.
Publication year - 1989
Publication title -
british journal of mathematical and statistical psychology
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 3.157
H-Index - 51
eISSN - 2044-8317
pISSN - 0007-1102
DOI - 10.1111/j.2044-8317.1989.tb01112.x
Subject(s) - class (philosophy) , weibull distribution , interpretation (philosophy) , mathematics , simple (philosophy) , extreme value theory , multivariate statistics , generalized extreme value distribution , econometrics , computer science , mathematical economics , statistics , artificial intelligence , philosophy , epistemology , programming language
A large class of random utility models can be expressed in terms of multivariate (dependent) Weibull distributions. This class includes Luce's choice model, McFadden's generalized extreme value class, and Tversky's elimination by aspects model. A major advantage of this class is that one can obtain simple closed form representations of the predicted choice probabilities and reaction times. In this paper I develop a ‘process’ model that gives a natural interpretation of the origins of these models, and discuss various limitations, and possible extensions, of such models.