Abstract
This chapter provides an introduction to the theory of decoupling of tangent sequences, which consists mainly of inequalities comparing functionals of dependent variables to functionals of conditionally independent (decoupled) random variables having equivalent conditional distributions given the immediate past. This tangency property of “shared conditional distributions given the immediate past” is the prevailing concept that has driven the development of the theory. It is surprising that this (minimal) assumption gives rise to such a wealth of interesting and useful results.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 1999 Springer Science+Business Media New York
About this chapter
Cite this chapter
de la Peña, V.H., Giné, E. (1999). General Decoupling Inequalities for Tangent Sequences. In: Decoupling. Probability and its Applications. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-0537-1_6
Download citation
DOI: https://doi.org/10.1007/978-1-4612-0537-1_6
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4612-6808-6
Online ISBN: 978-1-4612-0537-1
eBook Packages: Springer Book Archive