Mogens Fosgerau, Nikolaj Nielsen, Thomas Rasmussen, Rui Yao
arXiv 11 Aug 2026 · Statistics — Methodology
arXiv:2608.11464 · PDF · Extracted main text
We provide an estimator for the perturbed utility route choice (PURC) model that works with data at the level of individual trips. The estimator is a nested fixed-point algorithm that combines an upper bias-corrected linear regression problem with a lower individual-level perturbed utility maximization problem. We establish the statistical properties of the microPURC estimator and confirm these results with an experiment using simulated data. Finally, we demonstrate the estimator in practice using a large real-world dataset.
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The works this paper leans on most, across its whole bibliography — not restricted to papers in our corpus. Ranked by composite intensity, which combines how often a work is mentioned, how many sections mention it, and how much of that falls in the main text rather than the appendix.
| Reference | Intensity | Mentions | Sections | Main text | |
|---|---|---|---|---|---|
| 1 | Fosgerau, Mogens and Paulsen, Mads and Rasmussen, Thomas Kjær (2022) A perturbed utility route choice model self | 1.000 | 11 | 3 | 100% |
| 2 | Fosgerau, Mogens and Nielsen, Nikolaj and Paulsen, Mads and Rasmusse… (2025) Sensitivity Analysis of the Perturbed Utility Stochastic Traffic Equilibrium self | 0.843 | 4 | 3 | 75% |
| 3 | Fosgerau, Mogens and Łukawska, M. and Paulsen, M. and Rasmussen, T.K (2023) Bikeability and the induced demand for cycling self | 0.585 | 3 | 1 | 100% |
| 4 | Schwan, Roland and Jiang, Yuning and Kuhn, Daniel and Jones, Colin N (2023) PIQP: A proximal interior-point quadratic programming solver | 0.511 | 2 | 2 | 50% |
| 5 | Dial, R B (1971) A probabilistic multipath traffic assignment algorithm which obviates path enumeration | 0.405 | 1 | 1 | 100% |
| 6 | eurostat (2024) Average number of actual weekly hours of work in the main job by occupation (ISCO-08) | 0.405 | 1 | 1 | 100% |
| 7 | Knittel, Christopher R. and Metaxoglou, Konstantinos (2014) Estimation of Random-Coefficient Demand Models: Two Empiricists' Perspective | 0.405 | 1 | 1 | 100% |
| 8 | Mai, Tien and Fosgerau, Mogens and Frejinger, Emma (2015) A nested recursive logit model for route choice analysis self | 0.405 | 1 | 1 | 100% |
| 9 | Mai, Tien and Frejinger, Emma and Bastin, Fabien (2015) A Dynamic Programming Approach for Quickly Estimating Large Scale MEV Models | 0.405 | 1 | 1 | 100% |
| 10 | Tien Mai (2016) A method of integrating correlation structures for a generalized recursive route choice model | 0.405 | 1 | 1 | 100% |
Showing the top 10 of 38 scored citations.