On a class of risk processes with barriers and random incomes.
Dong, Hua, Zhao, Xiang Hua, Liu, Zai Ming (2010)
Applied Mathematics E-Notes [electronic only]
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Dong, Hua, Zhao, Xiang Hua, Liu, Zai Ming (2010)
Applied Mathematics E-Notes [electronic only]
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Ratanov, Nikita (2007)
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Gideon, F., Mukuddem-Petersen, J., Petersen, M.A. (2007)
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Skorokhod, Anatoli V. (1994)
Journal of Applied Mathematics and Stochastic Analysis
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Alòs, Elisa, León, Jorge A., Pontier, Monique, Vives, Josep (2008)
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Blažena Frcalová, Viktor Beneš (2009)
Kybernetika
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The paper deals with Cox point processes in time and space with Lévy based driving intensity. Using the generating functional, formulas for theoretical characteristics are available. Because of potential applications in biology a Cox process sampled by a curve is discussed in detail. The filtering of the driving intensity based on observed point process events is developed in space and time for a parametric model with a background driving compound Poisson field delimited by special test...