On the Variational Distance of Independently Repeated Experiments

Renato Renner

eprint archive: http://arxiv.org/abs/cs.IT/0509013, Nov 2003, Manuscript.

Let P and Q be two probability distributions which differ only for values with non-zero probability. We show that the variational distance between the distributions P^n and Q^n of a series of n independently repeated random experiments distributed according to P and Q, respectively, is upper bounded by an expression which only grows like the square root in n.

BibTeX Citation

@unpublished{Renner03,
    author       = {Renato Renner},
    title        = {On the Variational Distance of Independently Repeated Experiments},
    year         = {2003},
    month        = {11},
    howpublished = {eprint archive: http://arxiv.org/abs/cs.IT/0509013},
    note         = {Manuscript},
}

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