Stein approximation for functionals of independent random sequences

We derive Stein approximation bounds for functionals of uniform random variables, using chaos expansions and the Clark-Ocone representation formula combined with derivation and finite difference operators. This approach covers sums and functionals of both continuous and discrete independent random v...

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Bibliographic Details
Main Authors: Privault, Nicolas, Serafin, Grzegorz
Other Authors: School of Physical and Mathematical Sciences
Format: Article
Language:English
Published: 2018
Subjects:
Online Access:https://hdl.handle.net/10356/88783
http://hdl.handle.net/10220/44722
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Institution: Nanyang Technological University
Language: English