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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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O významu entropie
Janžura, Martin
The aim of the paper consists in demonstrating the relevance of the fundamental information-theoretic concepts, namely the entropy and the I-divergence, for both the statistical inference and the limit theorems of probability theory.
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Duály a zúžení procesů přibuzných kontaktnímu procesu
Swart, Jan M.
This paper considers contact processes with additional voter model dynamics. For such models, results of Lloyd and Sudbury can be applied to find a self-duality, as well as dualities and thinning relations with systems of random walks with annihilation, branching, coalescence, and deaths. We show that similar relations, which are known from the literature for certain interacting SDE's, can be derived as local mean field limits of the relations of Lloyd and Sudbury.
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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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