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

James R. Taylor

Statistics & Probability Letters, 1982, vol. 1, issue 1, 12-16

Abstract: 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.

Keywords: Branching; process; age; distribution; recurrence; times (search for similar items in EconPapers)
Date: 1982
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