Non-Life Insurance Mathematics: An Introduction with Stochastic Processes
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Berlin, Heidelberg
Springer Berlin Heidelberg
2004
|
| Ausgabe: | 2 |
| Schriftenreihe: | Universitext
|
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | To the outside world, insurance mathematics does not appear as a challe- ing topic. In fact, everyone has to deal with matters of insurance at various times of one’s life. Hence this is quite an interesting perception of a ?eld which constitutes one of the bases of modern society. There is no doubt that modern economies and states would not function without institutions which guarantee reimbursement to the individual, the company or the organization for its losses, which may occur due to natural or man-made catastrophes, ?res, ?oods, accidents, riots, etc. The idea of insurance is part of our civilized world. It is based on the mutual trust of the insurer and the insured. It was realized early on that this mutual trust must be based on science, not on belief and speculation. In the 20th century the necessary tools for dealing with matters of insurance were developed. These consist of probab- ity theory, statistics and stochastic processes. The Swedish mathematicians FilipLundbergandHaraldCram' erwerepioneersintheseareas.Theyrealized inthe?rsthalfofthe20thcenturythatthe theoryofstochasticprocessesp- vides the most appropriate framework for modeling the claims arriving in an insurancebusiness.Nowadays,theCram' er-Lundbergmodelisoneoftheba- bones of non-life insurance mathematics. It has been modi?ed and extended in very di?erent directions and, morever, has motivated research in various other ?elds of applied probability theory, such as queuing theory, branching processes, renewal theory, reliability, dam and storage models, extreme value theory, and stochastic networks |
| Beschreibung: | 1 Online-Ressource (XII, 248 p) |
| ISBN: | 9783540448891 9783540406501 |
| DOI: | 10.1007/3-540-44889-6 |
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Datensatz im Suchindex
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| dewey-ones | 519 - Probabilities and applied mathematics |
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| dewey-sort | 3519 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1007/3-540-44889-6 |
| edition | 2 |
| format | Electronic eBook |
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| isbn | 9783540448891 9783540406501 |
| language | English |
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| spelling | Mikosch, Thomas Verfasser aut Non-Life Insurance Mathematics An Introduction with Stochastic Processes by Thomas Mikosch 2 Berlin, Heidelberg Springer Berlin Heidelberg 2004 1 Online-Ressource (XII, 248 p) txt rdacontent c rdamedia cr rdacarrier Universitext To the outside world, insurance mathematics does not appear as a challe- ing topic. In fact, everyone has to deal with matters of insurance at various times of one’s life. Hence this is quite an interesting perception of a ?eld which constitutes one of the bases of modern society. There is no doubt that modern economies and states would not function without institutions which guarantee reimbursement to the individual, the company or the organization for its losses, which may occur due to natural or man-made catastrophes, ?res, ?oods, accidents, riots, etc. The idea of insurance is part of our civilized world. It is based on the mutual trust of the insurer and the insured. It was realized early on that this mutual trust must be based on science, not on belief and speculation. In the 20th century the necessary tools for dealing with matters of insurance were developed. These consist of probab- ity theory, statistics and stochastic processes. The Swedish mathematicians FilipLundbergandHaraldCram' erwerepioneersintheseareas.Theyrealized inthe?rsthalfofthe20thcenturythatthe theoryofstochasticprocessesp- vides the most appropriate framework for modeling the claims arriving in an insurancebusiness.Nowadays,theCram' er-Lundbergmodelisoneoftheba- bones of non-life insurance mathematics. It has been modi?ed and extended in very di?erent directions and, morever, has motivated research in various other ?elds of applied probability theory, such as queuing theory, branching processes, renewal theory, reliability, dam and storage models, extreme value theory, and stochastic networks Mathematics Finance Quantitative Finance Mathematik Stochastisches Modell (DE-588)4057633-4 gnd rswk-swf Versicherungsmathematik (DE-588)4063194-1 gnd rswk-swf Versicherungsmathematik (DE-588)4063194-1 s Stochastisches Modell (DE-588)4057633-4 s 1\p DE-604 https://doi.org/10.1007/3-540-44889-6 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Mikosch, Thomas Non-Life Insurance Mathematics An Introduction with Stochastic Processes Mathematics Finance Quantitative Finance Mathematik Stochastisches Modell (DE-588)4057633-4 gnd Versicherungsmathematik (DE-588)4063194-1 gnd |
| subject_GND | (DE-588)4057633-4 (DE-588)4063194-1 |
| title | Non-Life Insurance Mathematics An Introduction with Stochastic Processes |
| title_auth | Non-Life Insurance Mathematics An Introduction with Stochastic Processes |
| title_exact_search | Non-Life Insurance Mathematics An Introduction with Stochastic Processes |
| title_full | Non-Life Insurance Mathematics An Introduction with Stochastic Processes by Thomas Mikosch |
| title_fullStr | Non-Life Insurance Mathematics An Introduction with Stochastic Processes by Thomas Mikosch |
| title_full_unstemmed | Non-Life Insurance Mathematics An Introduction with Stochastic Processes by Thomas Mikosch |
| title_short | Non-Life Insurance Mathematics |
| title_sort | non life insurance mathematics an introduction with stochastic processes |
| title_sub | An Introduction with Stochastic Processes |
| topic | Mathematics Finance Quantitative Finance Mathematik Stochastisches Modell (DE-588)4057633-4 gnd Versicherungsmathematik (DE-588)4063194-1 gnd |
| topic_facet | Mathematics Finance Quantitative Finance Mathematik Stochastisches Modell Versicherungsmathematik |
| url | https://doi.org/10.1007/3-540-44889-6 |
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