• Medientyp: E-Artikel
  • Titel: Moments of the maximum in a critical branching process
  • Beteiligte: Weiner, Howard
  • Erschienen: Cambridge University Press (CUP), 1984
  • Erschienen in: Journal of Applied Probability
  • Sprache: Englisch
  • DOI: 10.2307/3213708
  • ISSN: 0021-9002; 1475-6072
  • Schlagwörter: Statistics, Probability and Uncertainty ; General Mathematics ; Statistics and Probability
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  • Beschreibung: <jats:p>Let <jats:italic>Z<jats:sub>n</jats:sub></jats:italic> denote the number of cells at time n in a critical discrete-time Galton–Watson branching process with finite offspring variance. Let <jats:disp-formula><jats:graphic xmlns:xlink="http://www.w3.org/1999/xlink" orientation="portrait" mime-subtype="gif" mimetype="image" position="float" xlink:type="simple" xlink:href="S002190020003761X_eqn1" /></jats:disp-formula> Martingale arguments are used to show that for some 0&lt;<jats:italic>a</jats:italic>≦<jats:italic>b</jats:italic>&lt;∞ <jats:disp-formula><jats:graphic xmlns:xlink="http://www.w3.org/1999/xlink" orientation="portrait" mime-subtype="gif" mimetype="image" position="float" xlink:type="simple" xlink:href="S002190020003761X_eqn2" /></jats:disp-formula></jats:p>