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Punktschätzung

In: Wahrscheinlichkeitsrechnung und Statistik

Author

Listed:
  • Robert Hafner

    (Johannes-Kepler-Universität Linz, Institut für Angewandte Statistik)

Abstract

Zusammenfassung Unter einem k-parametrischen, wahrscheinlichkeitstheoretischen Modell für einen realen Versuch versteht man, wir haben es schon mehrfach betont, eine Familie von Zufallsexperimenten mit k freien Parametern. Wir benützen für diese Parameter bei allgemeinen Ausführungen den Buchstaben ϑ, in konkreten Fällen ergibt sich die angemessene Bezeichnung in der Regel aus der inhaltlichen Bedeutung der Parameter. Die Gesamtheit θ aller für ϑ in Frage kommenden Werte nennt man den Parameterraum des Modells. Wir betrachten nur den Fall reeller Parameter, d.h. ϑ =(ϑ1…ϑ k ) durchläuft eine Teilmenge Θ des R k . Das bedeutet, vom Standpunkt der Anwendungen her gesehen, keine Einschränkung der Allgemeinheit.

Suggested Citation

  • Robert Hafner, 1989. "Punktschätzung," Springer Books, in: Wahrscheinlichkeitsrechnung und Statistik, chapter 10, pages 268-312, Springer.
    • Handle: RePEc:spr:sprchp:978-3-7091-6944-5_10
    DOI: 10.1007/978-3-7091-6944-5_10
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