probability-statistics / Probability & statistics

Strong Log-Concavity of Chernoff's Density

Is the density of Chernoff's distribution - the law of $\operatorname{argmax}_t \{W(t) - t^2\}$ for two-sided Brownian motion $W$ - strongly log-concave, as conjectured by Balabdaoui and Wellner in 2014?

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probability-statisticsJul 21, 2026Significance 10/100Registry: unreviewed

Strong Log-Concavity of Chernoff's Density

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Is the density of Chernoff's distribution - the law of $\operatorname{argmax}_t \{W(t) - t^2\}$ for two-sided Brownian motion $W$ - strongly log-concave, as conjectured by Balabdaoui and Wellner in 2014?

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Is the density of Chernoff's distribution - the law of $\operatorname{argmax}_t \{W(t) - t^2\}$ for two-sided Brownian motion $W$ - strongly log-concave, as conjectured by Balabdaoui and Wellner in 2014?

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