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Schätz- Und Testverfahren Bei Normalverteilung Mit Bekanntem Variationskoeffizienten by T. Deutler

Schätz- Und Testverfahren Bei Normalverteilung Mit Bekanntem Variationskoeffizienten

by T. Deutler
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Book cover type: Paperback
  • ISBN13: 9783540106876
  • Binding: Paperback
  • Subject: N/A
  • Publisher: Springer
  • Publisher Imprint: Springer
  • Publication Date:
  • Pages: 198
  • Original Price: EUR 51.39
  • Language: German
  • Edition: N/A
  • Item Weight: 354 grams
  • BISAC Subject(s): Statistics

Bei manchen technischen, biologischen oder okonomischen Prozessen ent- stehen Farnilien normalverteilter ZufallsgroBen mit konstantem Varia- tionskoeffizienten. Dieser ist in bestirnrnten Situationen bekannt. Das Schatz- und Testproblem bezuglich des Erwartungswertes, fuhrt dann infolge der besonderen Modellstruktur (keine Exponentialfamilie, zweikomponentige minimal suffiziente Statistik), nicht zu trivialen Losungen. In der Literatur sind bislang fast ausschlieBlich Arbeiten zur Punkt- schatzung zu finden und nur wenige, teilweise unvollkomrnene Losungsan- satze zurn Testproblem und zur Intervallschatzung. Ein wesentlicher Bestandteil der Arbeit ist daher die Entwicklung und der Vergleich von Testverfahren im Einstichprobenfall nach verschiedenen in der Testtheorie gangigen Methoden. Die hier vorliegende Monographie faBt nun die bereits bekannten und die hier neu erarbeiteten Schatz- und Testverfahren in einheitlicher Darstellung zusarnrnen. Dadurch werden auch Querverbindungen und Vergleiche zwischen den Ergebnissen der meist unabhangig voneinander arbeitenden Autorengruppen hergestellt. Die Verfahren sollen hier nicht nur rein formal-methodisch dargestellt werden, sondern es wird eine Integration von Theorie und Praxis inten- diert: Bei der Auswahl der Verfahren, bei der Verfahrensdurchfuhrung und beim Verfahrensvergleich werden daher neben theoretischen auch an- wendungsorientierte Argumente berticksichtigt, gegenseitig abgewogen und insbesondere in ihren Auswirkungen auf die praktische Anwendung diskutiert. Daraus resultierend werden Empfehlungen fur die Praxis gegeben. Fur alle untersuchten Verfahren sind die zum praktischen Einsatz be- notigten Tabellen bzw. Algorithrnen aus der Literatur zusarnrnengestellt. Die damit berechneten zahlreichen Darstellungen der Operationscharak- teristiken sol len dem Leser ein anschauliches Bild von den analytisch untersuchten Testeigenschaften und Testscharferelationen vermitteln.

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