The Local Limit Theorem and Some Related Aspects of Super-Critical Branching Processes
Let $\{Z_n: n = 0, 1, 2,\ldots\}$ be a Galton-Watson branching process with offspring p.g.f. $f(s) = \sum^\infty_0 p_jS^j$. Assume (i) $1 < m = f'(1-) = \sum^\infty_1 jp_j < \infty$, (ii) $\sum^infty_1 j^2p_j < \infty$ and (iii) $\gamma_0 = f'(q) > 0$, where $q$ is the extincti...
| Veröffentlicht in: | Transactions of the American Mathematical Society. - American Mathematical Society, 1900. - 152(1970), 1, Seite 233-251 |
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| Format: | Online-Aufsatz |
| Sprache: | English |
| Veröffentlicht: |
1970
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| Zugriff auf das übergeordnete Werk: | Transactions of the American Mathematical Society |
| Schlagworte: | Galton-Watson proces branching process local limit theorems potential theory space-time process Mathematics Arts Physical sciences Law |