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. 2024 Jan 29;152:e27. doi: 10.1017/S0950268824000086

Table 2.

Fit of the reporting delay to different distributions

Distribution Inline graphic , days Inline graphic , days Inline graphic , days Inline graphic days ρ WAIC
Mixture of log-normal (1) and gamma (2) 5.5 3.9 22.1 10.9 0.91 793.8
(4.4–6.5) (2.4–5.5) (8.4–35.0) (0.1–21.7) (0.77–1.00)
Single log-normal 6.3 5.3 797.6
(5.5–7.2) (4.0–6.6)
Mixture of gamma (1) and log-normal (2) 4.4 3.0 11.1 9.8 0.49 799.1
(2.3–6.1) (0.1–6.3) (5.5–23.7) (4.0–20.7) (0.00–0.91)
Mixture of two gammas 4.9 2.8 18.7 10.8 0.85 799.4
(4.2–5.7) (2.0–3.5) (9.0–29.6) (5.3–18.3) (0.68–0.97)

Parameters Inline graphic and Inline graphic Inline graphic represent the mean and standard deviation of the probability mass function for each distribution of the reporting delay by distribution type, Inline graphic is the weight attributed to each configuration by the relative values of the Watanabe–Akaike information criterion (WAIC), and 95% credible intervals are shown in brackets. Although all possible combinations of single gamma, log-normal, Weibull distributions, and their mixtures were considered, only the top four configurations with minimal WAIC values are shown here.