New Limiting Distributions for Bellman–harris Processes

نویسندگان

  • WOLFGANG P. ANGERER
  • W. P. ANGERER
چکیده

We present a number of new solutions to an integral equation arising in the limiting theory of Bellman–Harris processes. The argument proceeds via straightforward analysis of Mellin transforms. We also derive a criterion for the analyticity of the Laplace transform of the limiting distribution on Re(u) ≥ −c for some c > 0.

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تاریخ انتشار 2011