Age–period–cohort models for the Lexis diagram

By B. Carstensen. Statistics in Medicine, 2007

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Forecasting with the age-period-cohort model and the extended chain-ladder model (2008, background): “As pointed out by Carstensen (2007), linear trends in α i , β j and γ i+j−1 can be added without changing the value of µ ij .”
Identification of the age-period-cohort model and the extended chain ladder model (2008, methodology): “As pointed out by Carstensen (2007), linear trends in cai, ,81 and yi+j-l can be added without changing the value of Aiy.”
Incidence trends for human papillomavirus-related and -unrelated oral squamous cell carcinomas in the United States. (2008, methodology): “Owing to linear dependencies, the first derivatives (slopes/relative risks) in age-periodcohort models are not uniquely identifiable, however, the second derivatives (changes in slopes) may be uniquely identified using linear contrasts.(21-23) Therefore, using 10-year intervals, we assessed changes ”