3 problems
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Conjecture that quantile symmetry differs by at most one dataset position
Quantile position symmetry conjecture. The symmetry property is off by at most one position in the dataset.
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Conjecture that quantile asymmetry arises from the traditional quantile definition
Quantile asymmetry conjecture. The asymmetric definition of the traditional quantile is the reason for the observed asymmetry when quantiles are compared across oppositely ordered…
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The sharper increment bound for empirical quantiles of independent Brownian motions
The sharper increment-bound conjecture. The sharper bound stated in equation (heuristic bound 2) should hold in all regimes: