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. 2026 Apr 18;16:17979. doi: 10.1038/s41598-026-46996-8

Table 2.

Comparison of summary statistics for data generated from the fitted TPP versus the true data summary statistics. Q90, Q95, Q99 are the 90th, 95th, and 99th quantiles, whereas N is the average number of onsets per observation session.

Statistic Model Q90 Q95 Q99 Max N Q95/Q90 Q99/Q95 Max/Q99 outlier
Hawkes2ExpPP 12.69 ± 12.09 19.37 ± 16.32 30.71 ± 21.21 35.99 ± 23.47 31.28 ± 44.40 1.89 ± 1.63 2.35 ± 2.57 1.40 ± 1.55 0.06 ± 0.24
HawkesPLPP 13.75 ± 12.53 21.14 ± 16.67 32.55 ± 21.14 37.10 ± 23.19 25.56 ± 30.87 1.86 ± 1.29 2.21 ± 2.45 1.24 ± 0.89 0.04 ± 0.21
HawkesExpPP 12.50 ± 12.52 19.66 ± 17.21 31.26 ± 21.79 36.48 ± 23.91 28.28 ± 36.39 1.91 ± 1.30 2.63 ± 3.20 1.40 ± 1.85 0.06 ± 0.26
True Data 9.86 ± 10.07 14.25 ± 13.01 20.49 ± 17.34 22.75 ± 18.92 29.13 ± 36.15 1.57 ± 0.51 1.70 ± 1.41 1.14 ± 0.26 0.01 ± 0.09