This paper investigates the class of random utility models (RUM) derived under the assumption of random utilities or disutilities following mixture distributions. We introduce a general framework embedding the models of Mattsson et al. (2014) and the q-product GEV model of Chikaraishi and Nakayama, (2016) while extending the investigations of Papola (2016). New closed-form models are obtained, with mixtures of covariance matrices, mathematical forms of utility (additive, multiplicative or in-between), variances of utilities (heteroscedasticity) and marginal distributions. The models are compared in two cross-validation exercises, based on a real dataset of travel mode preferences, outperforming existing heteroscedastic and homoscedastic closed-form models in terms of both in-sample and out-of-sample goodness of fit. The behavioural implications of the models are also discussed.

本文研究了在遵循混合分布的随机效用或非效用的假设下得出的随机效用模型（RUM）的类别。我们介绍了嵌入Mattsson等人模型的通用框架。（2014）和Chikaraishi和Nakayama（2016）的q乘积GEV模型，同时扩展了Papola（2016）的研究。获得了新的封闭形式的模型，其中包含协方差矩阵，效用的数学形式（相加，相乘或中间），效用的方差（异方差）和边际分布的混合。基于旅行模式偏​​好的真实数据集，在两个交叉验证练习中对模型进行了比较，就样本内和样本外的拟合优度而言，该模型的表现优于现有的异方差和同方差闭合形式模型。