The bivariate maximum process and quasi-stationary structure of birth- death processes (Q1079294)
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scientific article; zbMATH DE number 3962901
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The bivariate maximum process and quasi-stationary structure of birth- death processes |
scientific article; zbMATH DE number 3962901 |
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The bivariate maximum process and quasi-stationary structure of birth- death processes (English)
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1986
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Instead of considering the convergence of quasistationary distributions \(q^ T_ k\) of a birth-death process (N(t)) as in their previous paper in Stochastic Processes Appl. 18, 301-312 (1984; Zbl 0558.60066), the authors show that the sequence \((q^ T_ k)\) increases stochastically with k. The maximum chain \(M(t)=\max_{0\leq t'\leq t}N(t')\) is studied for the proof.
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convergence of quasistationary distributions
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birth-death process
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