Minimum rates of approximate sufficient statistics


Given a sufficient statistic for a parametric family of distributions, one can estimate the parameter without access to the data itself. However, the memory or code size for storing the sufficient statistic may nonetheless still be prohibitive. Indeed, for n independent data samples drawn from a k-nomial distribution with d = k − 1 degrees of freedom, the… (More)
DOI: 10.1109/TIT.2017.2775612


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