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October 16, 2025Open Access

On the use of Mutual Information for Testing Independence

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The independence test is based on mutual information, which approximates a linear combination of chi-squares.
The method uses the delta-method to derive the asymptotic distribution, highlighting connections with likelihood ratio tests.
Calculating derivatives is challenging but can be facilitated by advanced software like Mathematica, making the task manageable.
Exploring mutual information's geometry may lead to alternative statistical measures for classical tests.

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This paper reveals a new independence test based on mutual information, suggesting connections to chi-square tests and likelihood ratios.

Marinescu et al. (2025) studied this question.

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