A quadratic test statistic from lacunary harmonics across multiscale digit expansions detects non-uniformity from one high-precision observation on [0,1], with null distribution converging to chi-square.
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Single-Observation Uniformity Testing under Increasing Precision via Lacunary Harmonics
A quadratic test statistic from lacunary harmonics across multiscale digit expansions detects non-uniformity from one high-precision observation on [0,1], with null distribution converging to chi-square.