fixed_diff#

Fixed Effects Differences Density Function#

k, K#

For each rate_id there is parent_smooth_id . In addition, for each mulcov_id there is a smooth_id and a corresponding set of model variables. We use \(k\) to index these smoothings \(s_k\) and \(K\) for the number of these smoothings. We use \(\theta^k\) to denote the subvector of the fixed effects \(\theta\) that corresponds to the k-th smoothing.

A^theta#

The fixed effects age difference function is

\[A^\theta ( \theta ) = \prod_{k=0}^{K-1} A^s ( s_k , \theta^k , \theta )\]

see definition of A^s .

T^theta#

The fixed effects time difference function is

\[T^\theta ( \theta ) = \prod_{k=0}^{K-1} T^s ( s_k , \theta^k , \theta )\]

see definition of T^s .