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The Stein and Chen-Stein Methods for Functionals of Non-Symmetric Bernoulli Processes.
- Source :
-
ALEA. Latin American Journal of Probability & Mathematical Statistics . 2015, Vol. 12, p309-356. 48p. - Publication Year :
- 2015
-
Abstract
- Based on a new multiplication formula for discrete multiple stochastic integrals with respect to non-symmetric Bernoulli random walks, we extend the results of Nourdin et al. (2010) on the Gaussian approximation of symmetric Rademacher sequences to the setting of possibly non-identically distributed independent Bernoulli sequences. We also provide Poisson approximation results for these sequences, by following the method of Peccati (2011). Our arguments use covariance identities obtained from the Clark-Ocone representation formula in addition to those usually based on the inverse of the Ornstein-Uhlenbeck operator. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 19800436
- Volume :
- 12
- Database :
- Academic Search Index
- Journal :
- ALEA. Latin American Journal of Probability & Mathematical Statistics
- Publication Type :
- Academic Journal
- Accession number :
- 120135184