Records and concomitants.
Ahsanullah, M. (2009)
Bulletin of the Malaysian Mathematical Sciences Society. Second Series
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Ahsanullah, M. (2009)
Bulletin of the Malaysian Mathematical Sciences Society. Second Series
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Ryszard Rudnicki (1992)
Annales Polonici Mathematici
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We study the asymptotic behaviour of the semigroup of Markov operators generated by the equation . We prove that for a > 1 this semigroup is asymptotically stable. We show that for a ≤ 1 this semigroup, properly normalized, converges to a limit which depends only on a.
Shervashidze, T. (1997)
Georgian Mathematical Journal
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Ergemlidze, Z., Shangua, A., Tarieladze, V. (2003)
Georgian Mathematical Journal
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Lotov, V.I. (2002)
Sibirskij Matematicheskij Zhurnal
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Haiwu Huang, Guangming Deng, QingXia Zhang, Yuanying Jiang (2014)
Kybernetika
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Applying the moment inequality of asymptotically almost negatively associated (AANA, in short) random variables which was obtained by Yuan and An (2009), some strong convergence results for weighted sums of AANA random variables are obtained without assumptions of identical distribution, which generalize and improve the corresponding ones of Zhou et al. (2011), Sung (2011, 2012) to the case of AANA random variables, respectively.
Tang, Qihe (2006)
Electronic Journal of Probability [electronic only]
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Buldygin, V.V., Koval, V.A. (2001)
Georgian Mathematical Journal
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Moore, Chika, Nnanwa, C.P., Ugwu, B.C. (2009)
Banach Journal of Mathematical Analysis [electronic only]
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Sergei B. Kuksin (2001)
Journées équations aux dérivées partielles
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For a class of random dynamical systems which describe dissipative nonlinear PDEs perturbed by a bounded random kick-force, I propose a “direct proof” of the uniqueness of the stationary measure and exponential convergence of solutions to this measure, by showing that the transfer-operator, acting in the space of probability measures given the Kantorovich metric, defines a contraction of this space.
Chobanyan, S., Salehi, H. (2001)
Georgian Mathematical Journal
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