2021
DOI: 10.1016/j.amar.2021.100179
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Temporal stability of factors influencing driver-injury severities in single-vehicle crashes: A correlated random parameters with heterogeneity in means and variances approach

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Cited by 48 publications
(20 citation statements)
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“…In this regard, the model can be more flexible in uncovering the unobserved heterogeneity by allowing the interaction effect between non-random parameters with the mean and variance of the random parameters on the injury-severity probability. Following the previous studies 32 , 80 , 83 , 84 , 86 , let be a vector of estimable parameters that vary across crash observations, which is derived as: where is a mean parameter estimateed across all crashes 90 , 91 , denotes a vector of the variables that capture heterogeneity in the mean that influences injury severity n, with parameter vector 86 , is a vector of variables that captures heterogeneity in the standard deviation with the corresponding vector 86 , and is a disturbance term.…”
Section: Methodsmentioning
confidence: 85%
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“…In this regard, the model can be more flexible in uncovering the unobserved heterogeneity by allowing the interaction effect between non-random parameters with the mean and variance of the random parameters on the injury-severity probability. Following the previous studies 32 , 80 , 83 , 84 , 86 , let be a vector of estimable parameters that vary across crash observations, which is derived as: where is a mean parameter estimateed across all crashes 90 , 91 , denotes a vector of the variables that capture heterogeneity in the mean that influences injury severity n, with parameter vector 86 , is a vector of variables that captures heterogeneity in the standard deviation with the corresponding vector 86 , and is a disturbance term.…”
Section: Methodsmentioning
confidence: 85%
“…The following subsections provide a discussion of the results based on the average marginal effect and the coefficient (in the case of random parameters). All parameters presented in the tables have a significance level of 0.1 or lower (indicated by the t-Stat), as this level is considered relatively important to the outcome of injury-severity probabilities 32 .…”
Section: Resultsmentioning
confidence: 99%
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“…The model is estimated using maximum likelihood estimation with logit probabilities. Accounting for the possibility of heterogeneity in the means and variances of random parameters, represents the parameters that vary across respondents, which are derived by Equation (3) [ 50 , 51 , 52 ]: where denotes the mean parameter estimate across all respondents; represents a vector of explanatory variables capturing heterogeneity in means that influence WTP level i ; is an estimable parameter vector of ; is a vector of WTP variables capturing the standard deviation of heterogeneity , with corresponding vector , and is the error term.…”
Section: Methodsmentioning
confidence: 99%