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ネスト化ロジット離散選択モデル×混合ロジットモデル×多項ロジスティック回帰×空間的相互作用(重力)モデル×
分野計量経済学計量経済学計量経済学空間分析
系統Regression modelRegression modelRegression modelRegression model
提唱年1985200019741971
提唱者Daniel McFadden; Ben-Akiva & LermanDaniel McFadden & Kenneth TrainMcFaddenAlan Wilson (entropy-maximizing family)
種類Discrete choice regression modelRandom-parameters discrete choice modelMultinomial logistic regressionModel of flows between spatial origins and destinations
原典Ben-Akiva, M., & Lerman, S. R. (1985). Discrete Choice Analysis: Theory and Application to Travel Demand. MIT Press. ISBN: 978-0-262-02217-0Train, K. E. (2009). Discrete Choice Methods with Simulation (2nd ed.). Cambridge University Press. ISBN: 978-0-521-74738-7McFadden, D. (1974). Conditional Logit Analysis of Qualitative Choice Behavior. In P. Zarembka (Ed.), Frontiers in Econometrics (pp. 105-142). Academic Press. ISBN: 978-0127761503Wilson, A. G. (1971). A family of spatial interaction models, and associated developments. Environment and Planning A, 3(1), 1–32. DOI ↗
別名Tree Logit Model, Hierarchical Logit Model, Generalized Extreme Value Logit, İç İçe Logit ModeliRandom Parameters Logit, Mixed Multinomial Logit, Error Components Logit, Karma Logit Modelimultinomial logistic regression, polytomous logistic regression, softmax regression, Çok Kategorili Lojistik Regresyongravity model, spatial interaction model, competing destinations model, mekânsal etkileşim modeli
関連3354
概要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.The 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.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.Spatial interaction models predict the volume of flows — migrants, commuters, shoppers, trade, trips — between origins and destinations as a function of the size of each place and the distance or cost separating them. By analogy to Newton's gravity, interaction rises with the 'mass' of origin and destination and falls with separation, and Wilson's 1971 entropy-maximizing family put these models on a rigorous footing for transport, migration, and retail analysis.
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ScholarGate手法を比較: Nested Logit · Mixed Logit · Multinomial Logit · Spatial Interaction Model. 2026-06-15に以下より取得 https://scholargate.app/ja/compare