Table 4.

Settling rates for all distributions

	GIG diffusion	GIG nondiffusion	Lognormal	Gamma	Exp
Density	$0.5{\left(\psi {\chi }^{-1}\right)}^{\left(\lambda /2\right)}{\left(K_{\lambda }{\left(\psi \chi \right)}^{1/2}\right)}^{-1}{x}^{\lambda -1}\text{exp}\left(-0.5\left(\psi x+\chi x^{-1}\right)\right)$		${\left(2\pi x^2{\sigma }^2\right)}^{-1/2}\exp \left(-0.5{\sigma }^{-2}{\left(\ln x-\mu \right)}^2\right)$	${\beta }^{\alpha }{\left(\mathrm{\Gamma }\left(\alpha \right)\right)}^{-1}{x}^{\alpha -1}{e}^{-\beta x}$	$\lambda e^{-\lambda x}$
Settling rate $\left(S{R}_{\mathit{f}}\right)$	$\frac{\psi }{2}$		0	β	λ
Tail classification	Medium		Heavy	Medium	Medium
S01	$0.0214$	$0.0553$	0	0.071	0.068
S02	$0.0119$	$0.0299$	0	0.035	0.036
S03	$0.0089$	$0.0244$	0	0.026	0.031
S04	$0.0328$	$0.0639$	0	0.120	0.062
S05	$0.0487$	$0.0957$	0	0.184	0.094
S06	$0.0038$	$0.0164$	0	0.017	0.025
S07	$0.0323$	$0.0566$	0	0.107	0.049
S08	$0.0725$	$0.1203$	0	0.198	0.096
S09	$0.0350$	$0.0764$	0	0.142	0.083
S10	$0.0185$	$0.0332$	0	0.056	0.029
S11	$0.0120$	$0.0288$	0	0.044	0.033

A lower settling rate indicates a heavier tail. GIG, generalized inverse Gaussian; Exp, exponential.