Table 4.

Maximum likelihood fit of the COVID-19 data

Distribution	W	BE	EGu	BGE	GuWL	EGuWL
Parameter estimates	$\begin{array}{cc}\hfill \widehat{\alpha }=& 1.2085\hfill \\ \hfill & \left(0.0693\right)\hfill \\ \hfill \end{array}$	$\begin{array}{cc}\hfill \widehat{a}=& 0.9643\hfill \\ \hfill & \left(0.1632\right)\hfill \\ \hfill \end{array}$	$\begin{array}{cc}\hfill \widehat{\widehat{\beta }}=& 0.0773\hfill \\ \hfill & \left(0.0053\right)\hfill \\ \hfill \end{array}$	$\begin{array}{cc}\hfill \widehat{a}=& 3.5162\hfill \\ \hfill & \left(50.047\right)\hfill \\ \hfill \end{array}$	$\begin{array}{cc}\hfill \widehat{a}=& 1.6014\hfill \\ \hfill & \left(0.0943\right)\hfill \\ \hfill \end{array}$	$\begin{array}{cc}\hfill \widehat{a}=& 1.6073\hfill \\ \hfill & \left(0.4738\right)\hfill \\ \hfill \end{array}$
	$\begin{array}{cc}\hfill \widehat{\lambda }=& 303.53\hfill \\ \hfill & \left(17.926\right)\hfill \\ \hfill \end{array}$	$\begin{array}{cc}\hfill \widehat{b}=& 0.0809\hfill \\ \hfill & \left(0.0174\right)\hfill \\ \hfill \end{array}$	$\begin{array}{cc}\hfill \widehat{c}=& 21.440\hfill \\ \hfill & \left(0.0020\right)\hfill \\ \hfill \end{array}$	$\begin{array}{cc}\hfill \widehat{b}=& 0.8909\hfill \\ \hfill & \left(1.9056\right)\hfill \\ \hfill \end{array}$	$\begin{array}{cc}\hfill \widehat{c}=& 5.0092\hfill \\ \hfill & \left(0.6222\right)\hfill \\ \hfill \end{array}$	$\begin{array}{cc}\hfill \widehat{\widehat{\beta }}=& 24.317\hfill \\ \hfill & \left(34.992\right)\hfill \\ \hfill \end{array}$
		$\begin{array}{cc}\hfill \widehat{\lambda }=& 0.0430\hfill \\ \hfill & \left(0.0087\right)\hfill \\ \hfill \end{array}$	$\begin{array}{cc}\hfill \widehat{k}=& 11.008\hfill \\ \hfill & \left(0.0573\right)\hfill \\ \hfill \end{array}$	$\begin{array}{cc}\hfill \widehat{\widehat{\beta }}=& 0.3231\hfill \\ \hfill & \left(4.7859\right)\hfill \\ \hfill \end{array}$	$\begin{array}{cc}\hfill \widehat{k}=& 1.9668\hfill \\ \hfill & \left(0.4694\right)\hfill \\ \hfill \end{array}$	$\begin{array}{cc}\hfill \widehat{c}=& 10.240\hfill \\ \hfill & \left(3.4696\right)\hfill \\ \hfill \end{array}$
				$\begin{array}{cc}\hfill \widehat{\lambda }=& 234.86\hfill \\ \hfill & \left(488.64\right)\hfill \\ \hfill \end{array}$	$\begin{array}{cc}\hfill \widehat{\lambda }=& 114.45\hfill \\ \hfill & \left(3.7350\right)\hfill \\ \hfill \end{array}$	$\begin{array}{cc}\hfill \widehat{k}=& 14.289\hfill \\ \hfill & \left(7.4607\right)\hfill \\ \hfill \end{array}$
						$\begin{array}{cc}\hfill \widehat{\lambda }=& 205.27\hfill \\ \hfill & \left(79.159\right)\hfill \\ \hfill \end{array}$
Log Likelihood	$-1420.29$	$-1425.26$	$-14.32.10$	$-1423.82$	$-1405.78$	$-1403.23$
AIC	$2844.58$	$2856.52$	$2870.20$	$2855.64$	$2819.56$	$2816.46$
K-S p-value	$0.0738$ $0.1845$	$0.1175$ $0.0050$	$0.0973$ $0.0324$	$0.0848$ $0.0872$	$0.0629$ $0.351$	$0.0622$ $0.3636$

(Standard error of estimates in parenthesis)