000 02737nam a22004575i 4500
001 u373960
003 SIRSI
005 20160812084211.0
007 cr nn 008mamaa
008 100528s2010 gw | s |||| 0|eng d
020 _a9783642111945
_9978-3-642-11194-5
040 _cMX-MeUAM
050 4 _aQA273.A1-274.9
050 4 _aQA274-274.9
082 0 4 _a519.2
_223
100 1 _aFeng, Shui.
_eauthor.
245 1 4 _aThe Poisson-Dirichlet Distribution and Related Topics
_h[recurso electrónico] :
_bModels and Asymptotic Behaviors /
_cby Shui Feng.
264 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg,
_c2010.
300 _aXII, 218p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aProbability and its Applications,
_x1431-7028
505 0 _aModels -- The Poisson–Dirichlet Distribution -- The Two-Parameter Poisson–Dirichlet Distribution -- The Coalescent -- Stochastic Dynamics -- Particle Representation -- Asymptotic Behaviors -- Fluctuation Theorems -- Large Deviations for the Poisson–Dirichlet Distribution -- Large Deviations for the Dirichlet Processes.
520 _aThe Poisson-Dirichlet distribution is an infinite dimensional probability distribution. It was introduced by Kingman over thirty years ago, and has found applications in a broad range of areas including Bayesian statistics, combinatorics, differential geometry, economics, number theory, physics, and population genetics. This monograph provides a comprehensive study of this distribution and some related topics, with particular emphasis on recent progresses in evolutionary dynamics and asymptotic behaviors. One central scheme is the unification of the Poisson-Dirichlet distribution, the urn structure, the coalescent, the evolutionary dynamics through the grand particle system of Donnelly and Kurtz. It is largely self-contained. The methods and techniques used in it appeal to researchers in a wide variety of subjects.
650 0 _aMathematics.
650 0 _aBiology
_xMathematics.
650 0 _aDistribution (Probability theory).
650 1 4 _aMathematics.
650 2 4 _aProbability Theory and Stochastic Processes.
650 2 4 _aMathematical Biology in General.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783642111938
830 0 _aProbability and its Applications,
_x1431-7028
856 4 0 _zLibro electrónico
_uhttp://148.231.10.114:2048/login?url=http://link.springer.com/book/10.1007/978-3-642-11194-5
596 _a19
942 _cLIBRO_ELEC
999 _c201840
_d201840