Tails From The Pound
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Lundberg Approximations for Compound Distributions with Insurance Applications
Author | : Gordon E. Willmot,X. Sheldon Lin |
Publsiher | : Springer Science & Business Media |
Total Pages | : 256 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 9781461301110 |
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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.
Shellfish Situation and Outlook
Author | : Anonim |
Publsiher | : Unknown |
Total Pages | : 32 |
Release | : 1969 |
Genre | : Shellfish trade |
ISBN | : STANFORD:36105123796455 |
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How to Cook Lobsters
Author | : Jean Burtis,Ellen H. Nagy,Rose G. Kerr |
Publsiher | : Unknown |
Total Pages | : 40 |
Release | : 1957 |
Genre | : Cooking (Lobsters) |
ISBN | : MINN:30000010623308 |
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The Cook s Oracle New Edition
Author | : William KITCHINER |
Publsiher | : Unknown |
Total Pages | : 434 |
Release | : 1860 |
Genre | : Electronic Book |
ISBN | : BL:A0018743576 |
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Federal Register
Author | : Anonim |
Publsiher | : Unknown |
Total Pages | : 654 |
Release | : 1964-12 |
Genre | : Delegated legislation |
ISBN | : UCR:31210024906123 |
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The Female s Friend and General Domestic Adviser Including a Complete Alphabetical Receipt Book Embellished with Superior Engravings on Steel and Numerous Illustrations on Wood
Author | : Robert HUISH |
Publsiher | : Unknown |
Total Pages | : 888 |
Release | : 1837 |
Genre | : Home economics |
ISBN | : NYPL:33433006831436 |
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Report of the Commissioner of Corporations on the Beef Industry March 3 1905
Author | : United States. Bureau of Corporations |
Publsiher | : Unknown |
Total Pages | : 390 |
Release | : 1905 |
Genre | : Beef packers |
ISBN | : UOM:39015067041585 |
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High Cost of Living in the District of Columbia
Author | : United States. Congress. Senate. Committee on the District of Columbia |
Publsiher | : Unknown |
Total Pages | : 1038 |
Release | : 1919 |
Genre | : Cost and standard of living |
ISBN | : LOC:00186825135 |
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