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001 sulb-eb0023421
003 BD-SySUS
005 20160413122350.0
007 cr nn 008mamaa
008 131002s2013 gw | s |||| 0|eng d
020 _a9783319023038
_9978-3-319-02303-8
024 7 _a10.1007/978-3-319-02303-8
_2doi
050 4 _aQA273.A1-274.9
050 4 _aQA274-274.9
072 7 _aPBT
_2bicssc
072 7 _aPBWL
_2bicssc
072 7 _aMAT029000
_2bisacsh
082 0 4 _a519.2
_223
100 1 _aKyprianou, Andreas E.
_eauthor.
245 1 0 _aGerber–Shiu Risk Theory
_h[electronic resource] /
_cby Andreas E. Kyprianou.
264 1 _aCham :
_bSpringer International Publishing :
_bImprint: Springer,
_c2013.
300 _aVIII, 93 p. 7 illus., 3 illus. in color.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aEAA Series,
_x1869-6929
505 0 _aIntroduction -- The Wald martingale and the maximum -- The Kella-Whitt martingale and the minimum -- Scale functions and ruin probabilities -- The Gerber–Shiu measure -- Reflection strategies -- Perturbation-at-maximum strategies -- Refraction strategies -- Concluding discussion -- References.
520 _aMotivated by the many and long-standing contributions of H. Gerber and E. Shiu, this book gives a modern perspective on the problem of ruin for the classical Cramér–Lundberg model and the surplus of an insurance company. The book studies martingales and path decompositions, which are the main tools used in analysing the distribution of the time of ruin, the wealth prior to ruin and the deficit at ruin. Recent developments in exotic ruin theory are also considered. In particular, by making dividend or tax payments out of the surplus process, the effect on ruin is explored. Gerber-Shiu Risk Theory can be used as lecture notes and is suitable for a graduate course. Each chapter corresponds to approximately two hours of lectures.
650 0 _aMathematics.
650 0 _aActuarial science.
650 0 _aProbabilities.
650 1 4 _aMathematics.
650 2 4 _aProbability Theory and Stochastic Processes.
650 2 4 _aActuarial Sciences.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783319023021
830 0 _aEAA Series,
_x1869-6929
856 4 0 _uhttp://dx.doi.org/10.1007/978-3-319-02303-8
912 _aZDB-2-SMA
942 _2Dewey Decimal Classification
_ceBooks
999 _c45513
_d45513