Periodicity in distribution. I: Discrete systems.
Dorogovtsev, A. Ya. (2002)
International Journal of Mathematics and Mathematical Sciences
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Dorogovtsev, A. Ya. (2002)
International Journal of Mathematics and Mathematical Sciences
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G. J. Butler, H. I. Freedman (1979)
Annales Polonici Mathematici
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Stanisław Sędziwy (1972)
Annales Polonici Mathematici
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G. J. Butler (1974)
Annales Polonici Mathematici
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González, M., Martínez, R., Mota, M. (2004)
Serdica Mathematical Journal
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2000 Mathematics Subject Classification: 60J80. In this work, the problem of the limiting behaviour of an irreducible Multitype Galton-Watson Branching Process with period d greater than 1 is considered. More specifically, almost sure convergence of some linear functionals depending on d consecutive generations is studied under hypothesis of non extinction. As consequence the main parameters of the model are given a convenient interpretation from a practical point of view. For...
J. Ligęza (1977)
Annales Polonici Mathematici
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Makay, Géza (2000)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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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...
F. H. Szafraniec (1969)
Annales Polonici Mathematici
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S. Sędziwy (1965)
Annales Polonici Mathematici
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Andrzej Makagon (1999)
Studia Mathematica
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A one-to-one correspondence between locally square integrable periodically correlated (PC) processes and a certain class of infinite-dimensional stationary processes is obtained. The correspondence complements and clarifies Gladyshev's known result [3] describing the correlation function of a continuous periodically correlated process. In contrast to Gladyshev's paper, the procedure for explicit reconstruction of one process from the other is provided. A representation of a PC process...