On some limit properties of the reward from a Markov replacement process
Pavla Kunderová (1983)
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
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Pavla Kunderová (1983)
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
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Vratislav Horálek (1964)
Aplikace matematiky
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Vratislav Horálek (1970)
Aplikace matematiky
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Sumita, Ushio, Huang, Jia-Ping (2009)
International Journal of Mathematics and Mathematical Sciences
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Matthes, Klaus, Nawrotzki, Kurt, Siegmund-Schultze, Rainer (1997)
Serdica Mathematical Journal
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The paper is a contribution to the theory of branching processes with discrete time and a general phase space in the sense of [2]. We characterize the class of regular, i.e. in a sense sufficiently random, branching processes (Φk) k∈Z by almost sure properties of their realizations without making any assumptions about stationarity or existence of moments. This enables us to classify the clans of (Φk) into the regular part and the completely non-regular part. It turns out that the...
Bernard Maisonneuve (1981)
Séminaire de probabilités de Strasbourg
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