Parameter	Lognormal	Gamma	Poisson	Negative binomial
Intercept (\(\alpha_0\))	1	1	-6	-6
\(X_1\) (\(\alpha_1\))	2	2	2	2
\(X_2\) (\(\alpha_2\))	0	0	2	2
\(X_3\) (\(\alpha_3\))	4	4	-2	-2
\(V\) (\(\alpha_4\))	2	2	4	4
Dispersion	0.427	0.2	—	1
Misrepresentation (\(\lambda\))	0.097	0.097	0.097	0.097
Overall mean*	581	581	0.33	0.33
Overall SD*	1371	1371	6.10	9.14