Characterizations of multinomial distributions based on conditional distributions.
Dinh, Khoan T., Nguyen, Truc T., Wang, Yining (1996)
International Journal of Mathematics and Mathematical Sciences
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Dinh, Khoan T., Nguyen, Truc T., Wang, Yining (1996)
International Journal of Mathematics and Mathematical Sciences
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Tripsiannis, Gregory A., Papathanasiou, Afroditi A., Philippou, Andreas N. (2003)
International Journal of Mathematics and Mathematical Sciences
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Vladislav Bína, Radim Jiroušek (2006)
Kybernetika
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Efficient computational algorithms are what made graphical Markov models so popular and successful. Similar algorithms can also be developed for computation with compositional models, which form an alternative to graphical Markov models. In this paper we present a theoretical basis as well as a scheme of an algorithm enabling computation of marginals for multidimensional distributions represented in the form of compositional models.
Ţincu, Ioan (2007)
General Mathematics
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Kargin, Vladislav (2007)
Electronic Communications in Probability [electronic only]
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Kangkang Wang (2009)
Czechoslovak Mathematical Journal
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In this paper, we study the limit properties of countable nonhomogeneous Markov chains in the generalized gambling system by means of constructing compatible distributions and martingales. By allowing random selection functions to take values in arbitrary intervals, the concept of random selection is generalized. As corollaries, some strong limit theorems and the asymptotic equipartition property (AEP) theorems for countable nonhomogeneous Markov chains in the generalized gambling system...
Wen, Jia-Jin, Zhang, Zhi-Hua (2010)
Journal of Inequalities and Applications [electronic only]
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