Article ID Journal Published Year Pages File Type
1151344 Statistics & Probability Letters 2015 7 Pages PDF
Abstract

The Lamperti transformation is established between continuous-state branching processes (CB-processes) with competition and strong solutions of a certain type of stochastic equations driven by Lévy processes without negative jumps. Using this result we study the maximal jumps of CB-processes with competition. In particular, we obtain the distributions of the maximal jumps of CB-processes and logistic branching processes.

Related Topics
Physical Sciences and Engineering Mathematics Statistics and Probability
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