Reminder/plug: my graduate-level monograph on "Topics and Techniques in Distribution Testing" (FnT Comm. and Inf Theory, 2022). 📖 ccanonne.github.io/survey-topic... [Latest draft+exercise solns, free] 📗 nowpublishers.com/article/Deta... [Official pub] 📝 github.com/ccanonne/sur... [LaTeX source]
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That's closeness testing with unequal sample size. The 4 most relevant works (for readily usable practical algos, I recommend the second; the 3rd and 4th are theoretically sample-optimal): ieeexplore.ieee.org/document/687... arxiv.org/abs/1504.04599 arxiv.org/abs/1601.05557 arxiv.org/abs/2009.06540
arxiv.orgTesting Closeness With Unequal Sized SamplesWe consider the problem of closeness testing for two discrete distributions in the practically relevant setting of \emph{unequal} sized samples drawn from each of them. Specifically, given a target er...
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