TABLE 1.

Estimation of incubation distribution in simulation

(a) Gamma incubation $f_I(t;\mathit{\theta })={\beta }^{\alpha }{t}^{\alpha -1}{e}^{-\beta t}/\mathrm{\Gamma }(\alpha )$; $\alpha =5$, $\beta =0.8$
		Proposed method			Qin's method			IC method
π	m	$\widehat{\alpha }$ (SE)	$\widehat{\beta }$ (SE)	$\widehat{\pi }$ (SE)	$\widehat{\alpha }$ (SE)	$\widehat{\beta }$ (SE)	$\widehat{\pi }$ (SE)	$\widehat{\alpha }$ (SE)	$\widehat{\beta }$ (SE)	$\widehat{\pi }$ (SE)
0	600	4.43	0.76	0.11	4.47	0.76	0.10	9.79	1.07	0
		(1.22)	(0.14)	(0.14)	(1.13)	(0.13)	(0.12)	(1.24)	(0.14)	(0)
	1200	4.47	0.76	0.09	4.49	0.76	0.08	9.72	1.06	0
		(0.94)	(0.10)	(0.11)	(0.89)	(0.10)	(0.09)	(0.88)	(0.10)	(0)
	1800	4.55	0.77	0.07	4.54	0.76	0.07	9.70	1.06	0
		(0.77)	(0.08)	(0.09)	(0.75)	(0.08)	(0.08)	(0.82)	(0.08)	(0)
0.2	600	5.36	0.83	0.20	5.37	0.83	0.19	9.61	1.00	0
		(1.64)	(0.17)	(0.15)	(1.62)	(0.17)	(0.14)	(1.21)	(0.13)	(0)
	1200	5.33	0.83	0.19	5.33	0.82	0.18	9.51	0.99	0
		(1.28)	(0.13)	(0.11)	(1.29)	(0.13)	(0.11)	(0.83)	(0.09)	(0)
	1800	5.25	0.82	0.19	5.25	0.82	0.19	9.49	0.99	0
		(1.08)	(0.10)	(0.10)	(1.10)	(0.11)	(0.10)	(0.67)	(0.07)	(0)

(b) Weibull incubation $f_I(t;\mathit{\theta })=k{(t/\lambda )}^{k-1}\exp \{-{(t/\lambda )}^k\}/\lambda$; $k=2$, $\lambda =8$
		Proposed method			Qin's method			IC method
π	m	$\widehat{k}$ (SE)	$\widehat{\lambda }$ (SE)	$\widehat{\pi }$ (SE)	$\widehat{k}$ (SE)	$\widehat{\lambda }$ (SE)	$\widehat{\pi }$ (SE)	$\widehat{k}$ (SE)	$\widehat{\lambda }$ (SE)	$\widehat{\pi }$ (SE)
0	600	1.92	7.49	0.11	2.00	7.89	0.02	3.49	11.99	0
		(0.24)	(0.86)	(0.17)	(0.19)	(0.47)	(0.05)	(0.24)	(0.30)	(0)
	1200	1.93	7.57	0.09	2.00	7.95	0.01	3.57	12.00	0
		(0.19)	(0.72)	(0.14)	(0.13)	(0.34)	(0.03)	(0.17)	(0.20)	(0)
	1800	1.93	7.62	0.07	2.00	7.97	0.01	3.56	12.00	0
		(0.16)	(0.64)	(0.12)	(0.11)	(0.27)	(0.02)	(0.14)	(0.17)	(0)
0.2	600	2.07	8.20	0.19	2.18	8.70	0.10	3.48	12.42	0
		(0.29)	(1.05)	(0.19)	(0.22)	(0.71)	(0.11)	(0.21)	(0.29)	(0)
	1200	2.04	8.17	0.19	2.17	8.73	0.09	3.46	12.44	0
		(0.23)	(0.88)	(0.15)	(0.16)	(0.59)	(0.09)	(0.15)	(0.20)	(0)
	1800	2.03	8.14	0.19	2.17	8.73	0.09	3.45	12.43	0
		(0.20)	(0.80)	(0.14)	(0.14)	(0.53)	(0.08)	(0.12)	(0.16)	(0)

(c) Log‐normal incubation $f_I(t;\mathit{\theta })=\exp \{-{(\log t-\mu )}^2/2{\sigma }^2\}/\sqrt{2\pi {\sigma }^2}t$; $\mu =1.8$, $\sigma =0.4$
		Proposed method			Qin's method			IC method
π	m	$\widehat{\mu }$ (SE)	$\widehat{\sigma }$ (SE)	$\widehat{\pi }$ (SE)	$\widehat{\mu }$ (SE)	$\widehat{\sigma }$ (SE)	$\widehat{\pi }$ (SE)	$\widehat{\mu }$ (SE)	$\widehat{\sigma }$ (SE)	$\widehat{\pi }$ (SE)
0	600	1.73	0.42	0.08	1.74	0.42	0.07	2.18	0.33	0
		(0.10)	(0.04)	(0.10)	(0.10)	(0.04)	(0.09)	(0.02)	(0.02)	(0)
	1200	1.74	0.42	0.06	1.75	0.42	0.05	2.18	0.33	0
		(0.08)	(0.03)	(0.07)	(0.07)	(0.03)	(0.07)	(0.02)	(0.02)	(0)
	1800	1.75	0.42	0.05	1.76	0.41	0.04	2.18	0.33	0
		(0.07)	(0.03)	(0.06)	(0.06)	(0.03)	(0.06)	(0.01)	(0.01)	(0)
0.2	600	1.82	0.39	0.18	1.83	0.39	0.18	2.22	0.33	0
		(0.11)	(0.04)	(0.11)	(0.10)	(0.04)	(0.11)	(0.02)	(0.02)	(0)
	1200	1.82	0.39	0.19	1.82	0.39	0.18	2.22	0.33	0
		(0.08)	(0.03)	(0.08)	(0.08)	(0.03)	(0.08)	(0.02)	(0.01)	(0)
	1800	1.81	0.40	0.19	1.81	0.40	0.19	2.22	0.33	0
		(0.06)	(0.03)	(0.07)	(0.06)	(0.03)	(0.07)	(0.01)	(0.01)	(0)

Note. Estimates and standard error. The first panel is our proposed method: mixture distribution with censoring. The second panel is Qin's method. The third panel is the IC method.