|
|
|
|
| LEADER |
03015nam a22004815i 4500 |
| 001 |
10322 |
| 003 |
DE-He213 |
| 005 |
20130725200212.0 |
| 007 |
cr nn 008mamaa |
| 008 |
100528s2010 gw | s |||| 0|eng d |
| 020 |
# |
# |
|a 9783642111945
|9 978-3-642-11194-5
|
| 024 |
7 |
# |
|a 10.1007/978-3-642-11194-5
|2 doi
|
| 050 |
# |
4 |
|a QA273.A1-274.9
|
| 050 |
# |
4 |
|a QA274-274.9
|
| 072 |
# |
7 |
|a PBT
|2 bicssc
|
| 072 |
# |
7 |
|a PBWL
|2 bicssc
|
| 072 |
# |
7 |
|a MAT029000
|2 bisacsh
|
| 082 |
0 |
4 |
|a 519.2
|2 23
|
| 100 |
1 |
# |
|a Feng, Shui.
|e author.
|
| 245 |
1 |
4 |
|a The Poisson-Dirichlet Distribution and Related Topics
|b Models and Asymptotic Behaviors /
|c by Shui Feng.
|h [electronic resource] :
|
| 264 |
# |
1 |
|a Berlin, Heidelberg :
|b Springer Berlin Heidelberg,
|c 2010.
|
| 300 |
# |
# |
|a XII, 218p.
|b online resource.
|
| 336 |
# |
# |
|a text
|b txt
|2 rdacontent
|
| 337 |
# |
# |
|a computer
|b c
|2 rdamedia
|
| 338 |
# |
# |
|a online resource
|b cr
|2 rdacarrier
|
| 347 |
# |
# |
|a text file
|b PDF
|2 rda
|
| 490 |
1 |
# |
|a Probability and its Applications,
|x 1431-7028
|
| 505 |
0 |
# |
|a Preface -- Part I: Models -- 1. Introduction -- 2. The Poisson Dirichlet Distribution -- 3. The Two-Parameter Poisson Dirichlet Distribution -- 4. The Coalescent -- 5. Stochastic Dynamics -- 6. Particle Representation -- Part II: Asymptotic Behaviors -- 7. Fluctuation Theorems -- 8. Large Deviations for the Poisson Dirichlet Distribution -- 9. Large Deviations for the Dirichlet Processes -- A. Poisson Process and Poisson Random Measure -- A.1. Definitions -- A.2. Properties -- B. Basics of Large Deviations -- References -- Index.
|
| 520 |
# |
# |
|a The 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 |
|a Mathematics.
|
| 650 |
# |
0 |
|a Biology
|x Mathematics.
|
| 650 |
# |
0 |
|a Distribution (Probability theory).
|
| 650 |
1 |
4 |
|a Mathematics.
|
| 650 |
2 |
4 |
|a Probability Theory and Stochastic Processes.
|
| 650 |
2 |
4 |
|a Mathematical Biology in General.
|
| 710 |
2 |
# |
|a SpringerLink (Online service)
|
| 773 |
0 |
# |
|t Springer eBooks
|
| 776 |
0 |
8 |
|i Printed edition:
|z 9783642111938
|
| 830 |
# |
0 |
|a Probability and its Applications,
|x 1431-7028
|
| 856 |
4 |
0 |
|u https://ezaccess.library.uitm.edu.my/login?url=http://dx.doi.org/10.1007/978-3-642-11194-5
|
| 912 |
# |
# |
|a ZDB-2-SMA
|
| 950 |
# |
# |
|a Mathematics and Statistics (Springer-11649)
|