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n_age | number of age points used to represent the function |
n_time | number of time points used to represent the function |
age_id | identifies age value for a variable |
time_id | identifies time value for a variable |
const_value | null or a value that a variable is constrained to |
value_prior_id | value prior for a variable |
dage_prior_id | difference prior for a variable (and next variable) in age direction |
dtime_prior_id | difference prior for a variable (and next variable) in time direction |
n_age*n_time
.
The age and time difference priors specify the smoothing in a mathematical
sense.
pini
, iota
, rho
, chi
, and omega
)
there is a function (set of variables)
corresponding to the parent value for the rate.
The smoothing for each of these functions is specified by the corresponding
parent_smooth_id
.
The smoothing determines the number of variables in the
set as well as the corresponding age and time values;
see the unadjusted rates
q_k
in the average integrand model.
pini
, iota
, rho
, chi
, and omega
)
there is a
function (set of variables)
corresponding to the child random effects for the rate.
The smoothing can be the same for all the children
(see child_smooth_id
)
or it can have a different value for each child
(see child_nslist_id
).
If u_ik
is a random effect for a rate and child,
the rate for the child is @(@
\exp( u_{i,k} )
@)@
times the rate for the parent;
see the adjusted rates
r_ik
in the average integrand model.