A size-free CLT for poisson multinomials and its applications

An (n,k)-Poisson Multinomial Distribution (PMD) is the distribution of the sum of n independent random vectors supported on the set Bk={e1,…,ek} of standard basis vectors in ℝk. We show that any (n,k)-PMD is poly(k/σ)-close in total variation distance to the (appropriately discretized) multi-dimensi...

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Bibliographic Details
Main Authors: De, Anindya, Kamath, Gautam, Daskalakis, Konstantinos, Kamath, Gautam Chetan, Tzamos, Christos
Other Authors: Massachusetts Institute of Technology. Department of Electrical Engineering and Computer Science
Format: Article
Language:en_US
Published: Association for Computing Machinery 2017
Online Access:http://hdl.handle.net/1721.1/110835
https://orcid.org/0000-0002-5451-0490
https://orcid.org/0000-0003-0048-2559
https://orcid.org/0000-0002-7560-5069