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Logit Models of Individual Choices. [PDF]
, 2008 The logit function is the reciprocal function to the sigmoid logistic function. It maps the interval [0,1] into the real line and is written as $$logit\left( p \right)=\ln \left( {p/\left( {1-p} \right)} \right).$$ (1) Two traditions are involved in the modern theory of logit models of individual choices.
Magnac, Thierry
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Testing the Sequential Logit Model Against the Nested Logit Model [PDF]
SSRN Electronic Journal, 2007 In this paper, we show that the sequential logit (SL) model, in which a choice process is characterized as a sequence of independent multinomial logit models, is a limiting case of the nested logit (NL) model. For testing the SL model against the NL model, we propose Wald, likelihood ratio and Lagrange multiplier tests after suitably reparameterizing ...
DAISUKE NAGAKURA, MASAHITO KOBAYASHI
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ON THE REPRESENTATION OF THE NESTED LOGIT MODEL [PDF]
Econometric Theory, 2021 In this paper, we give a two-line proof of a long-standing conjecture of Ben-Akiva in his 1973 PhD thesis regarding the random utility representation of the nested logit model, thus providing a renewed and straightforward textbook treatment of that model. As an application, we provide a closed-form formula for the correlation between two Fréchet random
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Multinomial Logit Models with Implicit Variable Selection [PDF]
, 2010 Multinomial logit models which are most commonly used for the modeling of unordered multi-category responses are typically restricted to the use of few predictors. In the high-dimensional case maximum likelihood estimates frequently do not exist. In this
Tutz, Gerhard, Zahid, Faisal Maqbool
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Testing the Multinomial Logit Model [PDF]
, 2000 A general test to check the adequateness of a regression model against nonparametric alternatives is presented. This test procedure is then applied to the well known multinomial logit model and its power is considered in a simulation study. Finally, the multinomial logit model is tested for a real scanner panel data set.
Bartels, K. +4 more
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Mixed logit models and network formation
Journal of Complex Networks, 2022 AbstractThe study of network formation is pervasive in economics, sociology, and many other fields. In this article, we model network formation as a ‘choice’ that is made by nodes of a network to connect to other nodes. We study these ‘choices’ using discrete-choice models, in which agents choose between two or more discrete alternatives. We employ the
Harsh Gupta, Mason A. Porter
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Variable Selection in General Multinomial Logit Models [PDF]
, 2012 The use of the multinomial logit model is typically restricted to applications with few predictors, because in high-dimensional settings maximum likelihood estimates tend to deteriorate.
Pößnecker, Wolfgang +2 more
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Semiparametric Multinomial Logit Models for Analysing Consumer Choice Behaviour [PDF]
, 2006 The multinomial logit model (MNL) is one of the most frequently used statistical models in marketing applications. It allows to relate an unordered categorical response variable, for example representing the choice of a brand, to a vector of covariates ...
Baumgartner, Bernhard +2 more
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On the equivalence of location choice models: Conditional logit, nested logit and Poisson [PDF]
Journal of Urban Economics, 2009 It is well understood that the two most popular empirical models of location choice-conditional logit and Poisson - return identical coefficient estimates when the regressors are not individual specific. We show that these two models differ starkly in terms of their implied predictions.
Schmidheiny, Kurt, Brülhart, Marius
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Penalized multinomial mixture logit model [PDF]
Computational Statistics, 2009 A classification problem is considered where the observed classes are mixtures of some subclasses. The multinomial logit model is used to model the dependence between subclasses labels and predictors. A version of the EM algorithm is proposed for fitting the resulting mixture model.
Shaheena Bashir, Edward M. Carter
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