Table 4.

Estimation of the joint distribution of age at diagnosis and stage at diagnosis using the proposed methods. EMP represents the empirical distribution estimate, PH represents the proposed semiparametric estimator based on proportional hazards model, and AFT represents the proposed estimator based on accelerated failure time model

Stage/Age		65–74		75–84		85+
		Estimate	95% C.I.	Estimate	95% C.I.	Estimate	95% C.I.
Localized	EMP	0.299	(0.278–0.319)	0.145	(0.130, 0.161)	0.018	(0.013, 0.025)
	PH	0.222	(0.189–0.252)	0.129	(0.108–0.151)	0.027	(0.014–0.045)
	AFT	0.153	(0.131–0.174)	0.101	(0.085–0.118)	0.019	(0.012–0.028)
Regional	EMP	0.073	(0.061, 0.084)	0.039	(0.031, 0.047)	0.004	(0.002, 0.007)
	PH	0.064	(0.049–0.079)	0.042	(0.029–0.061)	0.010	(0.002–0.026)
	AFT	0.051	(0.040–0.063)	0.034	(0.024–0.044)	0.005	(0.001–0.009)
Distant	EMP	0.270	(0.251, 0.289)	0.121	(0.107, 0.136)	0.030	(0.022, 0.037)
	PH	0.267	(0.236–0.296)	0.176	(0.133–0.217)	0.062	(0.017–0.112)
	AFT	0.353	(0.319–0.386)	0.217	(0.186–0.246)	0.066	(0.046–0.091)