1993
DOI: 10.2307/1243567
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A Theoretical Foundation for Count Data Models

Abstract: The paper develops a theoretical foundation for using count data models in travel cost analysis. Two micro models are developed: a restricted choice model and a repeated discrete choice model. We show that both models lead to identical welfare measures.

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Cited by 199 publications
(93 citation statements)
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“…Count models have become the standard in estimating recreational demand models (Martínez-Espiñeira and Amoako-Tuour, 2008;Ovaskainen et al, 2012;Hynes and Greene, 2013) following a theoretical underpinning provided by Hellerstein and Mendelsohn (1993). The count variable, e.g.…”
Section: Modelmentioning
confidence: 99%
“…Count models have become the standard in estimating recreational demand models (Martínez-Espiñeira and Amoako-Tuour, 2008;Ovaskainen et al, 2012;Hynes and Greene, 2013) following a theoretical underpinning provided by Hellerstein and Mendelsohn (1993). The count variable, e.g.…”
Section: Modelmentioning
confidence: 99%
“…Note that its acceptance would imply that E(y t )=V(y t ), so that the Poisson model is a particular case of the Negative Binomial when α=0 (Gurmu and Trivedi, 1996). This approximation overcomes the bias problems of the regression analysis arising from the discrete character of the dependent variable (Hellerstein and Mendelsohn, 1993) and the inefficiency problems of the Multinomial Logit Model (Cameron and Trivedi, 1998) when analysing the number of days a tourist spends on holiday. The Multinomial Logit Model has serious disadvantages as a consequence of the consideration of a high number of alternatives (0,1,2,3,...days), which prevents the model from attaining efficient estimations.…”
Section: Data Analysis Techniquementioning
confidence: 99%
“…Since the on-site survey excludes non-users, the number of trips must be a non-negative integer. The Poisson model makes count data estimators more reflective of the data and improves estimation efficiency, which is increasingly used to estimate travel cost [38][39][40].…”
Section: Travel Cost Methodsmentioning
confidence: 99%
“…Many researchers have followed Shaw's (1988) on-site Poisson model to correct those samples affected by the exclusion of non-users and endogenous stratification [38][39][40][41][42][43][44]. Therefore, the adjusted function is…”
Section: Travel Cost Methodsmentioning
confidence: 99%