Families of birth-death processes with similar time-dependent behaviour
نویسندگان
چکیده
منابع مشابه
Families of birth - death processes with similar time - dependent behaviour
We consider birth-death processes taking values in N ≡ {0, 1, . . .}, but allow the death rate in state 0 to be positive, so that escape from N is possible. Two such processes with transition functions {pij(t)} and {p̃ij(t)} are said to be similar if, for all i, j ∈ N , there are constants cij such that p̃ij(t) = cijpij(t) for all t ≥ 0. We determine conditions on the birth and death rates of a b...
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ژورنال
عنوان ژورنال: Journal of Applied Probability
سال: 2000
ISSN: 0021-9002,1475-6072
DOI: 10.1017/s002190020001603x