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arxiv: 1311.0564 · v1 · pith:J4XRXCKHnew · submitted 2013-11-04 · 🧮 math.PR

Time to Extinction in Subcritical Two-Sex Branching Processes

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keywords branchingextinctionsubcriticaltimetwo-sexapproximatingboundscumulative
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Lower and upper bounds for the cumulative distribution function (cdf) of the time to extinction in a subcritical two-sex branching process are derived. A recursive procedure for approximating this cdf is also utilized. The results are illustrated with some simulations.

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