Periodicity in distribution. I: Discrete systems.
Dorogovtsev, A. Ya. (2002)
International Journal of Mathematics and Mathematical Sciences
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Displaying similar documents to “A Note on the Asymptotic Behaviour of a Periodic Multitype Galton-Watson Branching Process”
Periodicity in distribution. I: Discrete systems.
A Limit Theorem for Multi-Type Subcritical Age-Dependent Branching Processes with two Types of Immigration Гранична теорема за докритичен многомерен разклоняващ се процес, зависещ от възрастта с два типа имиграция
Slavtchova-Bojkova, Maroussia (2011)
Union of Bulgarian Mathematicians
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Марусия Н. Славчова-Божкова - В настоящата работа се обобщава една гранична теорема за докритичен многомерен разклоняващ се процес, зависещ от възрастта на частиците с два типа имиграция. Целта е да се обобщи аналогичен резултат в едномерния случай като се прилагат “coupling” метода, теория на възстановяването и регенериращи процеси. This work continues the study of the classical subcritical age-dependent branching process and the effect of the following two-type immigration...
Branching Processes with Immigration and Integer-valued Time Series
Dion, J., Gauthier, G., Latour, A. (1995)
Serdica Mathematical Journal
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In this paper, we indicate how integer-valued autoregressive time series Ginar(d) of ordre d, d ≥ 1, are simple functionals of multitype branching processes with immigration. This allows the derivation of a simple criteria for the existence of a stationary distribution of the time series, thus proving and extending some results by Al-Osh and Alzaid [1], Du and Li [9] and Gauthier and Latour [11]. One can then transfer results on estimation in subcritical multitype branching processes...
Periodic moving average process
Tomáš Cipra (1985)
Aplikace matematiky
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Periodic moving average processes are representatives of the class of periodic models suitable for the description of some seasonal time series and for the construction of multivariate moving average models. The attention having been lately concentrated mainly on periodic autoregressions, some methods of statistical analysis of the periodic moving average processes are suggested in the paper. These methods include the estimation procedure (based on Durbin's construction of the parameter...
Towards a proof of recurrence for the Lorentz process
Nandor Simanyi (1989)
Banach Center Publications
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Branching Stochastic Processes: History, Theory, Applications Разклоняващи се стохастични процеси: история, теория, приложения
Mitov, Kosto (2011)
Union of Bulgarian Mathematicians
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Косто В. Митов - Разклоняващите се стохастични процеси са модели на популационната динамика на обекти, които имат случайно време на живот и произвеждат потомци в съответствие с дадени вероятностни закони. Типични примери са ядрените реакции, клетъчната пролиферация, биологичното размножаване, някои химични реакции, икономически и финансови явления. В този обзор сме се опитали да представим съвсем накратко някои от най-важните моменти и факти от историята, теорията и приложенията на...
Branching processes: genealogy and evolution.
González, Miguel, del Puerto, Inés Maria (2010)
Boletín de Estadística e Investigación Operativa
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Some theoretical results for bisexual Galton-Watson branching processes.
Miguel González, Manuel Molina (1992)
Extracta Mathematicae
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Limit theorems for exceedances of sequence of branching processes.
Rahimov, Ibrahim, Hasan, Husna (1998)
Bulletin of the Malaysian Mathematical Society. Second Series
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On the Structure of Spatial Branching Processes
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...