  In this work we investigate the ability of a kinetic approach for traffic
dynamics to predict speed distributions obtained through rough data. The
present approach adopts the formalism of uncertainty quantification, since
reaction strengths are uncertain and linked to different types of driver
behaviour or different classes of vehicles present in the flow. Therefore, the
calibration of the expected speed distribution has to face the reconstruction
of the distribution of the uncertainty. We adopt experimental microscopic
measurements recorded on a German motorway, whose speed distribution shows a
multimodal trend. The calibration is performed by extrapolating the uncertainty
parameters of the kinetic distribution via a constrained optimisation approach.
The results confirm the validity of the theoretical set-up.
