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008 170212s2015 gw | s |||| 0|eng d
020 _a9783319052212
_9978-3-319-05221-2
024 7 _a10.1007/978-3-319-05221-2
_2doi
035 _ato000557240
040 _aSpringer
_cSpringer
_dRU-ToGU
050 4 _aHB135-147
072 7 _aKF
_2bicssc
072 7 _aMAT003000
_2bisacsh
072 7 _aBUS027000
_2bisacsh
082 0 4 _a519
_223
100 1 _aAlfonsi, Aurélien.
_eauthor.
_9461287
245 1 0 _aAffine Diffusions and Related Processes: Simulation, Theory and Applications
_helectronic resource
_cby Aurélien Alfonsi.
260 _aCham :
_bSpringer International Publishing :
_bImprint: Springer,
_c2015.
300 _aXIII, 252 p. 17 illus., 16 illus. in color.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
490 1 _aBocconi & Springer Series, Mathematics, Statistics, Finance and Economics,
_x2039-1471 ;
_v6
505 0 _a1 Real valued affine diffusions -- 2 An introduction to simulation schemes for SDEs -- 3 Simulation of the CIR process -- 4 The Heston model and multidimensional affine diffusions -- 5 Wishart processes and affine diffusions on positive semidefinite matrices -- 6 Processes of Wright-Fisher type -- 7 Appendix A Some results on matrices -- 8 Appendix B Simulation of a gamma random variable.
520 _aThis book gives an overview of affine diffusions, from Ornstein-Uhlenbeck processes to Wishart processes and it considers some related diffusions such as Wright-Fisher processes. It focuses on different simulation schemes for these processes, especially second-order schemes for the weak error. It also presents some models, mostly in the field of finance, where these methods are relevant and provides some numerical experiments. The book explains the mathematical background to understand affine diffusions and analyze the accuracy of the schemes.  .
650 0 _amathematics.
_9566183
650 0 _aEconomics, Mathematical.
_9304111
650 0 _aComputer mathematics.
_9460896
650 0 _aProbabilities.
_9295556
650 0 _aBiomathematics.
_9460190
650 0 _aStatistics.
_9124796
650 1 4 _aMathematics.
_9566184
650 2 4 _aQuantitative Finance.
_9304891
650 2 4 _aStatistics for Business/Economics/Mathematical Finance/Insurance.
_9304058
650 2 4 _aProbability Theory and Stochastic Processes.
_9303734
650 2 4 _aComputational Mathematics and Numerical Analysis.
_9303505
650 2 4 _aMathematical and Computational Biology.
_9411705
710 2 _aSpringerLink (Online service)
_9143950
773 0 _tSpringer eBooks
830 0 _aBocconi & Springer Series, Mathematics, Statistics, Finance and Economics,
_9461288
856 4 0 _uhttp://dx.doi.org/10.1007/978-3-319-05221-2
912 _aZDB-2-SMA
999 _c411485