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The supercritical birth, death and catastrophe process: Limit theorems on the set of non-extinction

โœ Scribed by Anthony G. Pakes


Publisher
Springer
Year
1988
Tongue
English
Weight
630 KB
Volume
26
Category
Article
ISSN
0303-6812

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Limit theorems for the population size o
โœ Anthony G. Pakes ๐Ÿ“‚ Article ๐Ÿ“… 1987 ๐Ÿ› Springer ๐ŸŒ English โš– 806 KB

The linear birth and death process with catastrophes is formulated as a right continuous random walk on the non-negative integers which evolves in continuous time with an instantaneous jump rate proportional to the current value of the process. It is shown that distributions of the population size c