منابع مشابه
Strong Ratio Limit Property for P-recurrent Markov Chains
for some positive integer d, then SRLP holds. It is also shown that the inequality (1.2) is always satisfied in a reversible chain. When P = 1, the results given here reduce to those of Orey [7] for recurrent chains, while for P> 1 they imply SRLP for a class of transient chains. (The definition of SRLP given by Orey required that 7=1 and that r< be independent of i since he was dealing with re...
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We introduce the concept of asymptotic period for an irreducible and aperiodic discrete-time Markov chain on a countable state space. If the chain is transient its asymptotic period may be larger than one. We present some sufficient conditions and, in the more restricted setting of birth-death processes, a necessary and sufficient condition for asymptotic aperiodicity . It is subsequently shown...
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Throughout, X := {X ï¿¿ } ï¿¿≥0 denotes a Lévy process on R ï¿¿ with triple (ï¿¿ ï¿¿ σï¿¿ ï¿¿), and exponent Ψ. And from now on, we let {ï¿¿ ï¿¿ } ï¿¿≥0 denote the natural filtration of X, all the time remembering that, in accord with our earlier convention, {ï¿¿ ï¿¿ } ï¿¿≥0 satisfies the usual conditions. Definition 1. The transition measures of X are the probability measures P ï¿¿ (ï¿¿ ï¿¿ A)...
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ژورنال
عنوان ژورنال: Bulletin of the American Mathematical Society
سال: 1961
ISSN: 0002-9904
DOI: 10.1090/s0002-9904-1961-10694-0