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Bücher Englische Bücher Wissen & Bildung Naturwissenschaft, Medizin, Informatik, Technik Mathematik Wahrscheinlichkeitstheorie & Statistik Lundberg Approximations for Compound Distributions with Insurance Applications
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Lundberg Approximations for Compound Distributions with Insurance Applications
Gordon E. Willmot, X. Sheldon Lin (Broschiert, Englisch)
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Beschreibung
These notes represent our summary of much of the recent research that has been done in recent years on approximations and bounds that have been developed for compound distributions and related quantities which are of interest in insurance and other areas of application in applied probability. The basic technique employed in the derivation of many bounds is induc tive, an approach that is motivated… by arguments used by Sparre-Andersen (1957) in connection with a renewal risk model in insurance. This technique is both simple and powerful, and yields quite general results. The bounds themselves are motivated by the classical Lundberg exponential bounds which apply to ruin probabilities, and the connection to compound dis tributions is through the interpretation of the ruin probability as the tail probability of a compound geometric distribution. The initial exponential bounds were given in Willmot and Lin (1994), followed by the nonexpo nential generalization in Willmot (1994). Other related work on approximations for compound distributions and applications to various problems in insurance in particular and applied probability in general is also discussed in subsequent chapters. The results obtained or the arguments employed in these situations are similar to those for the compound distributions, and thus we felt it useful to include them in the notes. In many cases we have included exact results, since these are useful in conjunction with the bounds and approximations developed. 53,49 €
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Technische Daten
Erscheinungsdatum
23.10.2000
Sprache
Englisch
EAN
9780387951355
Herausgeber
Springer US
Serien- oder Bandtitel
Lecture Notes in Statistics
Sonderedition
Nein
Autor
Gordon E. Willmot, X. Sheldon Lin
Seitenanzahl
250
Einbandart
Broschiert
Schlagwörter
Binomial distribution, G/G/1 queue, Martingale, Poisson distribution, binomial, modeling, queueing theory, statistics, quantitative finance
Thema-Inhalt
PBT - Wahrscheinlichkeitsrechnung und Statistik
PBWL - Stochastik
K - Wirtschaftswissenschaft, Finanzen, Betriebswirtschaft und Management
PBW - Angewandte Mathematik
Höhe
235 mm
Breite
15.5 cm
Transparenz & Sicherheit
Hersteller: Humana, Europaplatz 3, Heidelberg, Deutschland, 69115, ProductSafety@springernature.com, Springer Nature Customer Service Center GmbH
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