. 2022 Nov 3;17(11):e0276695. doi: 10.1371/journal.pone.0276695

Table 3. Results of Monte Carlo simulations for Scenario 1 (β₁ = 1.3, β₁ = 1.4, and c = 2.0), with n = 100 and R = 5000 replications and MSE mean, AIC and BIC frequencies (%) of correct model selection.

Simulation	UBXII(q_i, c)				Kw(ω_i,d_p)		UW(q_i, γ)		Beta(μ_i, ϕ)
Par./Meas.	UBXII	Kw	UW	Beta	UBXII	Kw	UBXII	UW	UBXII	Beta
${\hat{β}}_{1}$	1.2984	0.7471	1.2972	0.9241	2.0396	1.3267	1.3238	1.2986	3.2141	1.2071
${\hat{β}}_{1}$	(0.0802)	(0.4013)	(0.0949)	(0.1798)	(0.3435)	(0.2944)	(0.0752)	(0.0732)	(0.3661)	(0.1245)
${\hat{β}}_{2}$	1.4040	1.0398	1.5873	1.2794	0.9411	1.4311	1.3597	1.4034	2.4634	1.2125
${\hat{β}}_{2}$	(0.0670)	(0.2549)	(0.1246)	(0.2181)	(0.2664)	(0.2545)	(0.0624)	(0.0603)	(0.3905)	(0.1105)
$\hat{θ}$	2.0441	1.9806	1.3982	6.7714	0.4688	1.9139	2.1814	2.0451	0.4025	1.9896
$\hat{θ}$	(0.1647)	(3.9387)	(0.3370)	(2.2466)	(0.0542)	(0.3801)	(0.1777)	(0.1661)	(0.0463)	(0.3092)
AIC (%)	92.1600	0.0000	7.8400	0.0000	0.0400	99.9600	3.6600	96.3400	0.0200	99.9800
BIC (%)	92.1600	0.0000	7.8400	0.0000	0.0400	99.9600	3.6600	96.3400	0.0200	99.9800
MSE	0.0053	1.0608	0.0136	0.3587	4.6296	1.0705	0.0044	0.0035	1.5143	0.0209

Table 3. Results of Monte Carlo simulations for Scenario 1 (β1 = 1.3, β1 = 1.4, and c = 2.0), with n = 100 and R = 5000 replications and MSE mean, AIC and BIC frequencies (%) of correct model selection.