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カウントデータのためのハードルモデル×ロジスティック回帰×最小二乗法 (OLS) 回帰×ポアソン回帰と負の二項回帰×
分野統計学研究統計計量経済学計量経済学
系統Regression modelProcess / pipelineRegression modelRegression model
提唱年1986195820191998
提唱者MullahyDavid Roxbee CoxWooldridge (textbook treatment); classical least squaresCameron & Trivedi (textbook treatment); Hilbe (negative binomial)
種類Two-part count modelMethodLinear regressionGeneralized linear model for count data
原典Mullahy, J. (1986). Specification and Testing of Some Modified Count Data Models. Journal of Econometrics, 33(3), 341–365. DOI ↗Cox, D. R. (1958). The regression analysis of binary sequences. Journal of the Royal Statistical Society, Series B, 20(2), 215–242. DOI ↗Wooldridge, J. M. (2019). Introductory Econometrics: A Modern Approach (7th ed.). Cengage Learning. ISBN: 978-1337558860Cameron, A. C. & Trivedi, P. K. (1998). Regression Analysis of Count Data. Cambridge University Press. DOI ↗
別名hurdle count model, two-part count model, zero-truncated count model, Engel Modeli (Hurdle Model)logit model, binomial logistic regression, LRordinary least squares, classical linear regression, linear regression, en küçük kareler regresyonucount regression, log-linear count model, negative binomial regression, Poisson / Negatif Binom Regresyon
関連5354
概要The hurdle model is a two-part count-data model introduced by Mullahy (1986). A first stage models the binary choice of crossing a hurdle (a zero versus a non-zero count), and a second stage models the strictly positive counts with a zero-truncated distribution such as a zero-truncated Poisson or negative binomial.Logistic regression is a statistical method for modeling the probability of a binary outcome (disease present/absent, success/failure) as a function of continuous and categorical predictors. Developed by David Roxbee Cox (1958), it solves the problem of predicting categorical outcomes by applying a logistic transformation to constrain predictions to the [0,1] probability interval, enabling accurate risk stratification, diagnostic prediction, and causal inference in epidemiology, medicine, and social science.Ordinary Least Squares is the classical linear regression method that explains a continuous outcome as a linear combination of predictors. It estimates the coefficients by minimising the sum of squared residuals, and under the Gauss-Markov assumptions these estimates are the best linear unbiased estimator (BLUE).Poisson regression is a generalized linear model for count outcomes — events tallied as non-negative integers such as hospital admissions, accidents, or article counts. It models the log of the expected count as a linear function of the predictors, and is developed in the standard count-data treatment of Cameron and Trivedi (1998); when the counts are over-dispersed, the closely related negative binomial model (Hilbe, 2011) is preferred.
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ScholarGate手法を比較: Hurdle Model · Logistic Regression · OLS Regression · Poisson Regression. 2026-06-18に以下より取得 https://scholargate.app/ja/compare