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arxiv: 1812.10741 · v1 · pith:5SK3YK36new · submitted 2018-12-27 · 🧮 math.ST · stat.TH

On mutual information estimation for mixed-pair random variables

classification 🧮 math.ST stat.TH
keywords randominformationmutualvariablesestimationmixed-paircentralconditions
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We study the mutual information estimation for mixed-pair random variables. One random variable is discrete and the other one is continuous. We develop a kernel method to estimate the mutual information between the two random variables. The estimates enjoy a central limit theorem under some regular conditions on the distributions. The theoretical results are demonstrated by simulation study.

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