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رگرسیون بیزی×رگرسیون لجستیک چندجمله‌ای (Multinomial Logistic Regression)×مدل لاجیت تودرتو برای انتخاب گسسته×
حوزهبیزیاقتصادسنجیاقتصادسنجی
خانوادهBayesian methodsRegression modelRegression model
سال پیدایش19741985
پدیدآورMcFaddenDaniel McFadden; Ben-Akiva & Lerman
نوعBayesian linear modelMultinomial logistic regressionDiscrete choice regression model
منبع بنیادینGelman, 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
نام‌های دیگرbayesian 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
مرتبط253
خلاصهBayesian 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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ScholarGateمقایسهٔ روش‌ها: Bayesian Regression · Multinomial Logit · Nested Logit. بازیابی‌شده در 2026-06-17 از https://scholargate.app/fa/compare