A version of the Harris-Spitzer "random constant velocity" model for infinite systems of particles
Wojciech Szatzschneider (1978)
Studia Mathematica
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Wojciech Szatzschneider (1978)
Studia Mathematica
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Françoise Pène (2009)
Annales de l'I.H.P. Probabilités et statistiques
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We consider the periodic planar Lorentz process with convex obstacles (and with finite horizon). In this model, a point particle moves freely with elastic reflection at the fixed convex obstacles. The random scenery is given by a sequence of independent, identically distributed, centered random variables with finite and non-null variance. To each obstacle, we associate one of these random variables. We suppose that each time the particle hits an obstacle, it wins the amount given by...
Luigi Accardi, Yukihiro Hashimoto, Nobuaki Obata (1998)
Banach Center Publications
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Motivated by the central limit problem for algebraic probability spaces arising from the Haagerup states on the free group with countably infinite generators, we introduce a new notion of statistical independence in terms of inequalities rather than of usual algebraic identities. In the case of the Haagerup states the role of the Gaussian law is played by the Ullman distribution. The limit process is realized explicitly on the finite temperature Boltzmannian Fock space. Furthermore,...
Rafał Latała, Krzysztof Oleszkiewicz (1995)
Colloquium Mathematicae
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Émile Le Page, Marc Peigné (1997)
Annales de l'I.H.P. Probabilités et statistiques
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A. N. Borodin (1987)
Annales de l'I.H.P. Probabilités et statistiques
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Vacys Bagdonavicius, Mikhail Nikulin (1997)
Qüestiió
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Generalizations of the additive hazards model are considered. Estimates of the regression parameters and baseline function are proposed, when covariates are random. The asymptotic properties of estimators are considered.