Q2q - Interpolating Age-Specific Mortality Rates at All Ages
Mortality rates are typically provided in an abridged
format, i.e., by age groups 0, [1, 5], [5, 10]', '[10, 15]',
and so on. Some applications necessitate a detailed (single)
age description. Despite the large number of proposed
approaches in the literature, only a few methods ensure great
performance at both younger and higher ages. For example, the
6-term 'Lagrange' interpolation function is well suited to
mortality interpolation at younger ages (with irregular
intervals), but not at older ages. The 'Karup-King' method, on
the other hand, performs well at older ages but is not suitable
for younger ones. Interested readers can find a full discussion
of the two stated methods in the book Shryock, Siegel, and
Associates (1993).The Q2q package combines the two methods to
allow for the interpolation of mortality rates across all age
groups. It begins by implementing each method independently,
and then the resulting curves are linked using a 5-age averaged
error between the two partial curves.