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공간 상호작용 (중력) 모형×포아송 및 음이항 회귀분석×
분야공간분석계량경제학
계열Regression modelRegression model
기원 연도19711998
창시자Alan Wilson (entropy-maximizing family)Cameron & Trivedi (textbook treatment); Hilbe (negative binomial)
유형Model of flows between spatial origins and destinationsGeneralized linear model for count data
원전Wilson, A. G. (1971). A family of spatial interaction models, and associated developments. Environment and Planning A, 3(1), 1–32. DOI ↗Cameron, A. C. & Trivedi, P. K. (1998). Regression Analysis of Count Data. Cambridge University Press. DOI ↗
별칭gravity model, spatial interaction model, competing destinations model, mekânsal etkileşim modelicount regression, log-linear count model, negative binomial regression, Poisson / Negatif Binom Regresyon
관련44
요약Spatial 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.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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