. 2023 Nov 16;18(11):e0290885. doi: 10.1371/journal.pone.0290885

Table 3. Results of the Monte Carlo simulation from the $U R G$ distribution.

Scenario	μ	β	n	Mean		Variance		RB %( $\hat{μ}$ )		RMSE( $\hat{μ}$ )		CP_95%
Scenario	μ	β	n	$\hat{μ}$	$\hat{β}$	$\hat{μ}$	$\hat{β}$	$\hat{μ}$	$\hat{β}$	$\hat{μ}$	$\hat{β}$	$\hat{μ}$	$\hat{β}$
1	0.4	0.8	10	0.4038	1.2889	0.0046	0.7510	0.3819	48.8994	0.0047	0.9902	0.8852	0.9311
			25	0.4014	0.9674	0.0019	0.1895	0.1444	16.7461	0.0019	0.2176	0.9268	0.9433
			50	0.4011	0.8856	0.0010	0.0827	0.1146	8.5658	0.0010	0.0901	0.9377	0.9474
			75	0.4009	0.8571	0.0006	0.0526	0.0995	5.7184	0.0006	0.0559	0.9410	0.9489
			100	0.4006	0.8400	0.0005	0.0384	0.0653	4.0097	0.0005	0.0400	0.9423	0.9462
2	0.5	1.5	10	0.4971	1.9084	0.0025	0.6566	−0.2869	40.8414	0.0025	0.8234	0.8941	0.9427
			25	0.4985	1.6408	0.0010	0.1832	−0.1444	14.0812	0.0010	0.2031	0.9283	0.9480
			50	0.4994	1.5709	0.0004	0.0824	−0.0544	7.0981	0.0004	0.0874	0.9406	0.9499
			75	0.4998	1.5485	0.0003	0.0534	−0.0195	4.8538	0.0003	0.0558	0.9412	0.9498
			100	0.4997	1.5333	0.0002	0.0393	−0.0226	3.3385	0.0002	0.0404	0.9444	0.9476
3	0.6	2.8	10	0.5980	3.2892	0.0004	1.0709	−0.1989	48.9285	0.0004	1.3103	0.9042	0.9526
			25	0.5991	2.9682	0.0001	0.2841	−0.0875	16.8275	0.0001	0.3124	0.9339	0.9508
			50	0.5996	2.8829	0.0008	0.1265	−0.0388	8.2924	0.0008	0.1333	0.9430	0.9513
			75	0.5998	2.8571	0.0001	0.0816	−0.0182	5.7180	0.0001	0.0849	0.9437	0.9510
			100	0.5998	2.8390	0.0001	0.0601	−0.0167	3.9059	0.0001	0.0616	0.9456	0.9475
4	0.7	5	10	0.6996	5.8574	0.0001	3.0886	−0.0362	85.7439	0.0001	3.8238	0.9016	0.9499
			25	0.6998	5.2956	0.0001	0.7867	−0.0164	29.5603	0.0001	0.8741	0.9350	0.9507
			50	0.6999	5.1454	0.0001	0.3466	−0.0066	14.5412	0.0001	0.3677	0.9436	0.9504
			75	0.6999	5.0996	0.0001	0.2220	−0.0018	9.9651	0.0001	0.2319	0.9435	0.9505
			100	0.6999	5.0688	0.0001	0.1630	−0.0022	6.8801	0.0001	0.1677	0.9449	0.9481
5	0.7	0.9	10	0.6961	1.1001	0.0012	0.1686	−0.3809	20.0002	0.0012	0.2086	0.8990	0.9485
			25	0.6983	0.9690	0.0004	0.0471	−0.1693	6.9054	0.0004	0.0519	0.9297	0.9507
			50	0.6992	0.9345	0.0002	0.0212	−0.0738	3.4534	0.0002	0.0224	0.9420	0.9513
			75	0.6996	0.9238	0.0001	0.0138	−0.0374	2.3819	0.0001	0.0143	0.9415	0.9507
			100	0.6996	0.9162	0.0001	0.0101	−0.0337	1.6285	0.0001	0.0104	0.9446	0.9486
6	0.75	1.1	10	0.7475	1.3025	0.0004	0.1828	−0.2473	20.2578	0.0004	0.2239	0.9037	0.9520
			25	0.7489	1.1697	0.0001	0.0496	−0.1068	6.9781	0.0001	0.0545	0.9330	0.9515
			50	0.7495	1.1345	0.0001	0.0222	−0.0477	3.4546	0.0001	0.0234	0.9432	0.9516
			75	0.7497	1.1238	0.0001	0.0144	−0.0244	2.3864	0.0001	0.0149	0.9429	0.9515
			100	0.7497	1.1163	0.0001	0.0106	−0.0214	1.6317	0.0001	0.0108	0.9452	0.9470

Table 3. Results of the Monte Carlo simulation from the URG distribution.

Table 3. Results of the Monte Carlo simulation from the $U R G$ distribution.