Method	Value	Case 1				Case 2
Method	Value	$l_{\infty}$	k	$a_{0}$	CV	$l_{\infty}$	k	$a_{0}$	CV
	True value	70	0.2	−0.07	0.2	70	0.2	−0.07	0.2
Random	RBias	86.06	−60.83	−614.61	20.35	88.00	−61.04	−23.60	35.79
	RSE	15.45	4.31	77.73	3.40	34.09	9.72	495.95	4.13
	RRMSE	87.44	60.98	619.49	0.21	94.36	61.81	496.01	0.36
Weighted	RBias	9.27	−21.41	−564.69	6.38	2.69	−6.53	−525.27	0.64
likelihood	RSE	5.26	6.52	96.69	3.15	7.47	20.66	991.37	2.35
	RRMSE	10.66	22.38	572.89	0.07	7.93	21.64	1121.06	0.02
Calibrated	RBias	9.27	−21.41	−564.69	6.38	2.69	−6.53	−525.27	0.64
weighted	RSE	5.26	6.52	96.69	3.15	7.47	20.66	991.37	2.35
likelihood	RRMSE	10.66	22.38	572.89	0.07	7.93	21.64	1121.05	0.02
Complete	RBias	10.41	−26.13	−640.04	9.48	1.91	−5.97	−469.93	0.35
data	RSE	5.47	6.47	88.99	2.55	5.36	16.71	754.74	2.23
likelihood	RRMSE	11.76	26.92	646.19	0.10	5.68	17.73	888.44	0.02
Conditional	RBias	12.82	−31.22	−619.49	28.21	30.96	54.24	−659.63	31,525.17
likelihood	RSE	31.78	17.67	106.90	14.50	116.24	1536.62	1001.56	703,564.57
	RRMSE	34.24	35.86	628.63	0.32	120.18	1536.04	1198.43	7035.67
Full	RBias	1.59	−12.76	−523.58	11.26	1.34	−5.51	−399.94	0.60
information	RSE	2.92	4.33	64.60	2.44	3.93	11.79	543.65	1.75
likelihood	RRMSE	3.32	13.47	527.54	0.12	4.14	13.01	674.48	0.02
Full	RBias	−2.07	−8.44	−513.17	16.92	1.30	−5.20	−396.57	0.56
data	RSE	3.14	4.72	98.26	3.60	4.40	12.60	572.79	1.81
likelihood	RRMSE	3.76	9.67	522.47	0.17	4.59	13.62	696.20	0.02
Empirical	RBias	1.68	−12.89	−524.59	11.30	1.43	−5.64	−396.78	0.71
proportion	RSE	2.92	4.33	65.55	2.45	3.95	11.82	544.41	1.76
likelihood	RRMSE	3.37	13.59	528.66	0.12	4.20	13.08	673.22	0.02