대한수학회지 (Journal of the Korean Mathematical Society)

  • 제36권5호
  • /
  • Pages.923-943
  • /
  • 1999
  • /
  • 0304-9914(pISSN)
  • /
  • 2234-3008(eISSN)
대한수학회 (Korean Mathematical Society)
권호 표지

CENTRAL LIMIT THEOREMS FOR BELLMAN-HARRIS PROCESSES

  • 발행 : 1999.09.01
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초록

In this paper we consider functionals of the empirical age distribution of supercritical Bellman-Harris processes. Let f : R+ longrightarrow R be a measurable function that integrates to zero with respect to the stable age distribution in a supercritical Bellman-Harris process with no extinction. We present sufficient conditions for the asymptotic normality of the mean of f with respect to the empirical age distribution at time t.

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참고문헌

  1. Applied Probability and Queues Asmussen, S.
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  4. Branching Processes Athreya, K. B.;Ney, P.
  5. Probability: Theory and Examples Durret, R.
  6. Brandching Processes with Biological Applications Jagers, P.
  7. Ph. D.Thesis Kang, H-J
  8. Central Limit Theorems for Multitype Age-dependent Branching Processes Kang, H-J.