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Variance of entropy for testing time-varying regimes with an application to meme stocks

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摘要

The paper derives an unbiased, high-order (up to O(n^{-4})) analytical approximation for the sample Shannon-entropy variance, proposes a z-test for detecting statistically significant entropy changes between adjacent intervals, and introduces a self-consistent criterion to select the optimal rolling window length; the method is validated in simulations and applied to US meme (GME, BBBY, AMC) and IT stocks showing that low-entropy regimes are associated with increased price predictability and higher returns from a simple empirical-frequency trading rule [page::0][page::6][page::21].

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