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Versicherungsmathematik by Karl-Heinz Wolff

Versicherungsmathematik

by Karl-Heinz Wolff
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Book cover type: Paperback
  • ISBN13: 9783709176825
  • Binding: Paperback
  • Subject: N/A
  • Publisher: Springer
  • Publisher Imprint: Springer
  • Publication Date:
  • Pages: 405
  • Original Price: EUR 65.41
  • Language: German
  • Edition: Softcover Repri
  • Item Weight: 667 grams
  • BISAC Subject(s): General

Das vorliegende Buch soli einen Dberblick iiber mathematische Methoden des Versicherungswesens geben. Es gliedert sich in acht Abschnitte, die in ins- gesamt 31 Kapitel unterteilt sind. Neben del' Beschreibung del' klassischen Ver- sicherungsmathematik in den Abschnitten I, Finanzmathematik, II, Lebens- versicherung, und III, Gewinnermittlung und Gewinnverwendung, wird auch eine Einflihrung in andere Bereiche in den Abschnitten IV, Krankenversicherung, V, Pensionsversicherung, und VI, Unfallversicherung, gegeben. Hier sei ins- besondere auf die in Abschnitt IV dargelegte Theorie del' Personengesamtheiten verwiesen, die libel' den Bereich dieses Abschnittes hinaus VOl' allem fiir die Pensionsversicherung, abel' auch fUr die Unfallversicherung von Bedeutung ist. Einen etwas allgemeineren Dberblick libel' die mathematische Behandlung von Versicherungen gibt Abschnitt VII, Allgemeine Versicherungstheorie. Die Ein- flihrung eines verallgemeinerten STIELTJES-SCH.ARF-Integrales ermoglicht eine einheitliche Darstellung verschiedenartiger Versicherungswerte. Abschnitt VIII, Risikotheorie, behandelt nach einer Diskussion des Begriffes "Risiko" verschiedene Arten del' Rlickversicherung. 1m letzten Kapitel wird eine Einfiihrung in die koHektive Risikotheorie gegeben, die Informationen iiber optimale Entschei- dungen der VersicherungsgeseHschaft bei del' Pramiengestaltung, der Riickver- sicherung und der Dividendenpolitik ermoglicht. Diese Untersuchungen bilden vor aHem im Hinblick auf das den VersicherungsgeseHschaften im allgemeinen zur Verfiigung stehende statistische Material eine zweckmaBige Erganzung zur klassischen Risikotheorie. Die Darstellungen sind im wesentlichen elementar gehalten. Vorausgesetzt werden die Grundbegriffe del' Wahrscheinlichkeitsrechnung und der mathema- tischen Statistik. Vorkenntnisse aus del' Theorie del' zufalligen Prozesse erleichtern deren Behandlung, insbesondere im Kapitel iiber die Einfiihrung in die kollektive Risikotheorie, ohne jedoch Voraussetzung fiir das Verstiindnis zu sein.

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