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 Moebius 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.
- Probability & statistics
- Publication Date:
- Springer Verlag
- Country of origin:
- Dimensions (mm):
This title is in stock with our Australian supplier and arrives at our Sydney warehouse within 10-15 working days of you placing an order.
Once received into our warehouse we will despatch it to you with a Shipping Notification which includes online tracking.
Please check the estimated delivery times below for your region, for after your order is despatched from our warehouse:
ACT Metro 2 working days
NSW Metro 2 working days
NSW Rural 2 - 3 working days
NSW Remote 2 - 5 working days
NT Metro 3 - 6 working days
NT Remote 4 - 10 working days
QLD Metro 2 - 4 working days
QLD Rural 2 - 5 working days
QLD Remote 2 - 7 working days
SA Metro 2 - 5 working days
SA Rural 3 - 6 working days
SA Remote 3 - 7 working days
TAS Metro 3 - 6 working days
TAS Rural 3 - 6 working days
VIC Metro 2 - 3 working days
VIC Rural 2 - 4 working days
VIC Remote 2 - 5 working days
WA Metro 3 - 6 working days
WA Rural 4 - 8 working days
WA Remote 4 - 12 working days