On the asymptotic events of a Markov chain
1979 ◽
Vol 2
(4)
◽
pp. 537-587
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Keyword(s):
In this paper we investigate some structure properties of the tailσ-field and the invariantσ-field of both homogeneous and nonhomogeneous Markov chains as representations for asymptotic events, descriptions of completely nonatomic and atomic sets and global characterizations of asymptoticσ-fields. It is shown that the Martin boundary theory can provide a unified approach to the asymptoticσ-fields theory.
1990 ◽
Vol 27
(03)
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pp. 545-556
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Keyword(s):
1970 ◽
Vol 41
(3)
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pp. 1064-1067
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2004 ◽
Vol 2004
(8)
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pp. 421-429
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Keyword(s):
1984 ◽
Vol 25
(4)
◽
pp. 463-472
1998 ◽
Vol 93
(443)
◽
pp. 1055-1067
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Keyword(s):
Keyword(s):
Keyword(s):