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

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  • Taylor, James R.

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.

Suggested Citation

  • Taylor, James R., 1982. "Backward and forward recurrence times, and their interrelationships in Bellman-Harris branching processes," Statistics & Probability Letters, Elsevier, vol. 1(1), pages 12-16, July.
    • Handle: RePEc:eee:stapro:v:1:y:1982:i:1:p:12-16
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    Cited by:

    1. Johnson, Richard A. & Taylor, James R., 2008. "Preservation of some life length classes for age distributions associated with age-dependent branching processes," Statistics & Probability Letters, Elsevier, vol. 78(17), pages 2981-2987, December.
    2. Yakovlev, A. & Yanev, N., 2007. "Age and residual lifetime distributions for branching processes," Statistics & Probability Letters, Elsevier, vol. 77(5), pages 503-513, March.

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