Continuous branching processes and spectral positivity☆

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Abstract

Certain properties of continuous-state branching processes are studied via the random time-change linking them with spectrally positive Lévy processes. The results are compared and contrasted with those for simple branching processes.

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☆

This paper was written while the author was on leave of absence at the University of Illinois during the academic year 1975–1976.

Copyright © 1976 Published by Elsevier B.V.