Backward and forward recurrence times, and their interrelationships in Bellman-Harris branching processes

Random variables are constructed for a Bellman-Harris branching process which are the extensions of backward and forward recurrence times from an ordinary renewal process. The sum of the two extended random variables is also constructed, and then the distribution functions for all three random variables are developed. The asymptotic limits for all three time-dependent distributions are also obtained.

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Year of publication:	1982
Authors:	Taylor, James R.
Published in:	Statistics & Probability Letters. - Elsevier, ISSN 0167-7152. - Vol. 1.1982, 1, p. 12-16
Publisher:	Elsevier
Keywords:	Branching process age distribution recurrence times

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Type of publication:	Article
Source:	RePEc - Research Papers in Economics

Persistent link: https://www.econbiz.de/10005137846