Some results of ruin probability for the classical risk process.
He, Yuanjiang, Li, Xucheng, Zhang, John (2003)
Journal of Applied Mathematics and Decision Sciences
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He, Yuanjiang, Li, Xucheng, Zhang, John (2003)
Journal of Applied Mathematics and Decision Sciences
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Vomişescu, Romeo (2002)
General Mathematics
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Bender, Edward A., Lawler, Gregory F., Pemantle, Robin, Wilf, Herbert S. (2003)
Séminaire Lotharingien de Combinatoire [electronic only]
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Roman Urban (1998)
Colloquium Mathematicae
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M. González, M. Molina, M. Mota (2001)
Extracta Mathematicae
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Christian Wallmann, Gernot D. Kleiter (2014)
Kybernetika
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Probability logic studies the properties resulting from the probabilistic interpretation of logical argument forms. Typical examples are probabilistic Modus Ponens and Modus Tollens. Argument forms with two premises usually lead from precise probabilities of the premises to imprecise or interval probabilities of the conclusion. In the contribution, we study generalized inference forms having three or more premises. Recently, Gilio has shown that these generalized forms “degrade” – more...
Boer, Anne Fey-Den, Liu, Haiyan, Meester, Ronald (2009)
Electronic Journal of Probability [electronic only]
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Drezner, Zvi (1999)
Journal of Applied Mathematics and Decision Sciences
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Nagahata, Yukio, Yoshida, Nobuo (2010)
Electronic Communications in Probability [electronic only]
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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.