Conditioned limit theorems of stopped critical branching Bessel processes (Q912492)
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scientific article; zbMATH DE number 4145077
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Conditioned limit theorems of stopped critical branching Bessel processes |
scientific article; zbMATH DE number 4145077 |
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Conditioned limit theorems of stopped critical branching Bessel processes (English)
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1990
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A critical branching Bessel process starting at \(r>>1\) is stopped at \(r=1\). If N is the number of descendents at \(r=1\), the norming constant k(r) is given and convergence of N/[k(r)] conditioned on \(N>0\) is given as \(r\to \infty\). The distribution of conditioned limit laws is also given. Probability ideas and analytic techniques for Emden-Fowler's equation are used.
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hitting probability
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critical branching Bessel process
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conditioned limit laws
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Emden-Fowler's equation
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