@article{ECP1364,
author = {Soumik Pal},
title = {Symmetrization of Bernoulli},
journal = {Electron. Commun. Probab.},
fjournal = {Electronic Communications in Probability},
volume = {13},
year = {2008},
keywords = {Symmetrization, symmetry resistant, Skorokhod embedding},
abstract = {We show that an asymmetric Bernoulli random variable is symmetry resistant in the sense that any independent random variable, which when added to it produces a symmetric sum, must have a variance at least as much as itself. The main instrument is to use Skorokhod embedding to transfer the discrete problem to the realm of stochastic calculus.},
pages = {no. 19, 194-197},
issn = {1083-589X},
doi = {10.1214/ECP.v13-1364},
url = {http://ecp.ejpecp.org/article/view/1364}}