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Limit theorems for pure death processes coming down from infinity
Part of
- Markov processes
- Limit theorems
Serik Sagitov, Thibaut France
Journal:

Journal of Applied Probability / Volume 54 / Issue 3 / September 2017

Published online by Cambridge University Press:

15 September 2017, pp. 720-731

Print publication:

September 2017
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In this paper we treat a pure death process coming down from infinity as a natural generalization of the death process associated with the Kingman coalescent. We establish a number of limit theorems including a strong law of large numbers and a large deviation theorem.

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Limit theorems for pure death processes coming down from infinity