Fourier-Based Testing for Families of Distributions

Electronic Colloquium on Computational Complexity (ECCC), Volume abs/1706.05738, 2017.

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Abstract:

study the general problem of testing whether an unknown distribution belongs to a specified family of distributions. More specifically, given a distribution family $mathcal{P}$ and sample access to an unknown discrete distribution $mathbf{P}$, we want to distinguish (with high probability) between the case that $mathbf{P} mathcal{P}$ an...More

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