Rates of decay for the survival probability of a mutant gene II The multitype case |
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Authors: | K. B. Athreya |
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Affiliation: | (1) Iowa State University, 50011-1210 Ames, IA, USA |
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Abstract: | This paper extends the results of [1] to the multitype case. For a multitype branching process that is slightly supercritical, approximations for the survival probability in terms of the maximal eigenvalue of the mean matrix and a generalized variance 2 are developed. Our results improve upon those of Hoppe [5] and Eshel [3] that seek to validate a conjecture of Ewens [4].Research supported in part by NSF grant DMS 9007182 |
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Keywords: | Multitype branching process Survival probability Mutant gene |
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