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003 - CONTROL NUMBER IDENTIFIER |
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005 - DATE AND TIME OF LATEST TRANSACTION |
control field |
20140310151500.0 |
007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION |
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020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
International Standard Book Number |
9788847016798 |
|
978-88-470-1679-8 |
050 #4 - LIBRARY OF CONGRESS CALL NUMBER |
Classification number |
QA273.A1-274.9 |
|
Classification number |
QA274-274.9 |
082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER |
Classification number |
519.2 |
Edition number |
23 |
264 #1 - |
-- |
Milano : |
-- |
Springer Milan, |
-- |
2011. |
912 ## - |
-- |
ZDB-2-SMA |
100 1# - MAIN ENTRY--PERSONAL NAME |
Personal name |
Peccati, Giovanni. |
Relator term |
author. |
245 10 - IMMEDIATE SOURCE OF ACQUISITION NOTE |
Title |
Wiener Chaos: Moments, Cumulants and Diagrams |
Medium |
[electronic resource] : |
Remainder of title |
A survey with computer implementation / |
Statement of responsibility, etc |
by Giovanni Peccati, Murad S. Taqqu. |
300 ## - PHYSICAL DESCRIPTION |
Extent |
200 p. 30 illus. |
Other physical details |
online resource. |
440 1# - SERIES STATEMENT/ADDED ENTRY--TITLE |
Title |
Bocconi & Springer Series, |
International Standard Serial Number |
2039-1471 ; |
Volume number/sequential designation |
1 |
520 ## - SUMMARY, ETC. |
Summary, etc |
The concept of Wiener chaos generalizes to an infinite-dimensional setting the properties of orthogonal polynomials associated with probability distributions on the real line. It plays a crucial role in modern probability theory, with applications ranging from Malliavin calculus to stochastic differential equations and from probabilistic approximations to mathematical finance. This book is concerned with combinatorial structures arising from the study of chaotic random variables related to infinitely divisible random measures. The combinatorial structures involved are those of partitions of finite sets, over which Möbius functions and related inversion formulae are defined. This combinatorial standpoint (which is originally due to Rota and Wallstrom) provides an ideal framework for diagrams, which are graphical devices used to compute moments and cumulants of random variables. Several applications are described, in particular, recent limit theorems for chaotic random variables. An Appendix presents a computer implementation in MATHEMATICA for many of the formulae. |
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical term or geographic name as entry element |
Mathematics. |
|
Topical term or geographic name as entry element |
Combinatorics. |
|
Topical term or geographic name as entry element |
Distribution (Probability theory). |
|
Topical term or geographic name as entry element |
Mathematics. |
|
Topical term or geographic name as entry element |
Probability Theory and Stochastic Processes. |
|
Topical term or geographic name as entry element |
Combinatorics. |
|
Topical term or geographic name as entry element |
Measure and Integration. |
700 1# - ADDED ENTRY--PERSONAL NAME |
Personal name |
Taqqu, Murad S. |
Relator term |
author. |
710 2# - ADDED ENTRY--CORPORATE NAME |
Corporate name or jurisdiction name as entry element |
SpringerLink (Online service) |
773 0# - HOST ITEM ENTRY |
Title |
Springer eBooks |
776 08 - ADDITIONAL PHYSICAL FORM ENTRY |
Display text |
Printed edition: |
International Standard Book Number |
9788847016781 |
856 40 - ELECTRONIC LOCATION AND ACCESS |
Uniform Resource Identifier |
http://dx.doi.org/10.1007/978-88-470-1679-8 |
942 ## - ADDED ENTRY ELEMENTS (KOHA) |
Source of classification or shelving scheme |
|
Item type |
E-Book |