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Estimation of Hopping Rates From Real Traffic Trajectories
Fajfrová, Lucie ; Hrabák, Pavel
Variety of hopping particle systems (ZRP, TASEP, MTP) have been investigated from the point of view of the traffic flow modelling. Such models are characterized by the local hopping rates determining the model dynamics. Several techniques of estimating appropriately the hopping rates from real traffic trajectories are introduced. Properties of corresponding models are discussed.
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Construction of Mass Migration Process
Fajfrová, Lucie ; Saada, E.
A general model of conservative particle systems on $/Zd$ is treated in this report. We call it the Mass Migration Process. We bring out a construction of an appropriate Markov process, we set conditions on existence, attractiveness and we present many particular examples.
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Zobecněný Zero range proces jako model toku dopravy
Fajfrová, Lucie
In the paper, a model of conservative particle system, which generalises a well known zero range process, is studied. The generalisation consists in allowing jumps of more than one particle in one moment. We describe what this generalisation means in the context of modeling a traffic flow.
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Testing hypothesis in general exponential models
Fajfrová, Lucie
The paper concerns the testing hypothesis about parameter in such families of stochastic processes that they have an exponential density with respect to a reference measure. We focus on divergence statistics, particularly so called Renyi statistics. There are examples of testing on the base of Renyi statics for some well known processes.
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