Map of the global tropical cyclones tracks from International Best Track Archive for Climate Stewardship (IBTrACS).

(Top) paths from 1842 to 1960; (Bottom) paths from 1961 to 2017;(Left) Map projection on longitude 10°E ∼170°W; (Right) Map projection on Longitude 170°W ∼10°E.</p

Dynamics of the time-varying second-digit probability .

Time-varying second-digit probability for digits 0 to 9 are presented from top left to bottom right. The chart further includes the posterior mean (solid line) and 95% credible bands (shaded areas) of , the sample empirical distribution (point), and Benford’s distribution (dashed line).</p

Dynamics of the time-varying first-digit probability <i>p</i>_<i>t</i>.

Time-varying first-digit probability for digits 1 to 9 (p1,t, …, p9,t) are presented from top left to bottom right. The chart further includes the posterior mean (solid line) and 95% credible bands (shaded areas) of pd,t, the sample empirical distribution (point), and Benford’s distribution (dashed line).</p

Dynamics of sum of squared deviations (SSD).

The chart gives the posterior mean of SSD (solid blue line) and 95% credible bands (shaded blue area) in each year. The time horizons suggested in the previous study is labeled for reference: Two long-term division (Period 1 and 2) and four short-term episodes (Episode A, B, C, and D).</p

Descriptive statistics for GTC data.

Above: Frequency of tropical cyclones from 1842–2016. Below: Empirical first-digit distribution of the traveled distance (in meters) per cyclone is represented (red) along with the corresponding probability mass for Benford’s distribution (blue).</p

Dynamics of the second-digit SSD.

The chart presents the posterior mean of the second-digit SSD (solid blue line) and 95% credible bands (shaded blue area) in each year. The time horizons are labeled for reference as in the first-digit analysis.</p

Supplemental material for Affinity-based measures of biomarker performance evaluation

Supplemental material, Supplemental Material for Affinity-based measures of biomarker performance evaluation by Miguel de Carvalho, Bradley J Barney and Garritt L Page in Statistical Methods in Medical Research</p