Large deviations of branching process in a random environment
Keyword(s):
Abstract In this first part of the paper we find the asymptotic formulas for the probabilities of large deviations of the sequence defined by the random difference equation Y n+1=A n Y n + B n , where A 1, A 2, … are independent identically distributed random variables and B n may depend on { ( A k , B k ) , 0 ⩽ k < n } $ \{(A_k,B_k),0\leqslant k \lt n\} $ for any n≥1. In the second part of the paper this results are applied to the large deviations of branching processes in a random environment.
1988 ◽
Vol 25
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pp. 142-149
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1975 ◽
Vol 12
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pp. 39-46
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2008 ◽
Vol DMTCS Proceedings vol. AI,...
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1999 ◽
Vol 36
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pp. 139-145
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1983 ◽
Vol 15
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pp. 713-725
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