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. Author manuscript; available in PMC: 2014 Feb 26.
Published in final edited form as: Ann Appl Stat. 2012 Dec;7(3):1362–1385. doi: 10.1214/12-AOAS624

Table 1.

Models under consideration, written as special cases of equation (1). (a) The mortality variable and time-dependent explanatory variables for the different model types. (b) Model subtypes, including differing subsets of the explanatory variables.


(a) Model type Mortality measure (Mit) State economy (Uit) National economy (Nt) Age structure (Ait) Fixed effect (ϕi) Linear trend (ψit)

B (Basic) log mit uit nt ait yes no
L (Linear) log mit uit nt ait yes yes
D (Difference) Δ log mit Δuit Δnt Δait no no
HPλ (HP-detrended) Hλ (log mit) Hλ(uit) Hλ(nt) Hλ(ait) no no

(b) Model subtype State economy National economy Year effects

1 yes no yes
2 yes no no
3 no yes no
4 yes yes no