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Mixed Logit×Regresja bayesowska×Regresja logistyczna wielomianowa×Zagnieżdżony model logitowy (Nested Logit Discrete Choice Model)×
DziedzinaEkonometriaStatystyka bayesowskaEkonometriaEkonometria
RodzinaRegression modelBayesian methodsRegression modelRegression model
Rok powstania200019741985
TwórcaDaniel McFadden & Kenneth TrainMcFaddenDaniel McFadden; Ben-Akiva & Lerman
TypRandom-parameters discrete choice modelBayesian linear modelMultinomial logistic regressionDiscrete choice regression model
Źródło pierwotneTrain, K. E. (2009). Discrete Choice Methods with Simulation (2nd ed.). Cambridge University Press. ISBN: 978-0-521-74738-7Gelman, A., Carlin, J. B., Stern, H. S., Dunson, D. B., Vehtari, A. & Rubin, D. B. (2013). Bayesian Data Analysis (3rd ed.). CRC Press. ISBN: 978-1439840955McFadden, D. (1974). Conditional Logit Analysis of Qualitative Choice Behavior. In P. Zarembka (Ed.), Frontiers in Econometrics (pp. 105-142). Academic Press. ISBN: 978-0127761503Ben-Akiva, M., & Lerman, S. R. (1985). Discrete Choice Analysis: Theory and Application to Travel Demand. MIT Press. ISBN: 978-0-262-02217-0
Inne nazwyRandom Parameters Logit, Mixed Multinomial Logit, Error Components Logit, Karma Logit Modelibayesian linear regression, probabilistic regression, bayesian regresyonmultinomial logistic regression, polytomous logistic regression, softmax regression, Çok Kategorili Lojistik RegresyonTree Logit Model, Hierarchical Logit Model, Generalized Extreme Value Logit, İç İçe Logit Modeli
Pokrewne3253
PodsumowanieThe Mixed Logit model, introduced formally by McFadden and Train (2000) and elaborated in Train (2009), is a flexible discrete choice framework that allows preference parameters to vary randomly across decision-makers. By integrating standard logit probabilities over a mixing distribution of coefficients, it overcomes the restrictive independence of irrelevant alternatives (IIA) property and accommodates unobserved taste heterogeneity, panel data correlation, and complex substitution patterns across alternatives.Bayesian regression is a probabilistic version of linear regression that treats the model parameters as uncertain quantities. Instead of returning a single best-fit estimate, it combines prior knowledge with the observed data to produce a full posterior probability distribution for each parameter, from which credible intervals and predictions are read off.Multinomial logistic regression is a maximum-likelihood method for a nominal (unordered) dependent variable with more than two categories. Building on McFadden's 1974 treatment of qualitative choice, it gives each category its own set of coefficients relative to a reference category.The Nested Logit model is a discrete choice framework that groups mutually exclusive alternatives into hierarchical nests, allowing correlated unobserved utilities within each nest while maintaining independence across nests. Introduced formally by Ben-Akiva and Lerman (1985) and grounded in McFadden's Generalized Extreme Value (GEV) theory, it extends the standard Multinomial Logit by relaxing the restrictive Independence of Irrelevant Alternatives assumption within predefined groups of similar alternatives.
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