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CPS2210 Justyna Majewska et al.
























                      In  a  two-population  model,  we  expect  certain  behaviour  from  its
                  parameters. In a perfect situation the common parameters should be able to
                  capture the true global mortality trend, in both age and time, amongst the
                  populations as a whole (Enchev et al., 2015). If the underlying philosophy of
                  the model is correct, then we would expect that the country specific period
                  effects all fluctuate around some constant level in the long term (Enchev et al.,
                  2015). Significant differences from this level, in either range or shape would
                  mean  that  this  particular  population  is  somehow  different  from  the  other
                  populations.
                      Presented  results  are  limited  to  the  age-specific  component,  because
                  parameters α(x) for each pair of countries exhibit the same values and manifest
                  the expected general shape of mortality schedule across ages. Besides, almost
                  a similar downward trend is observed in the κ(t) values. Figures 3-6 present

                  values  of  estimated  parameters  β(x)  for  the  independent  LC  model  (each
                  country separetly) and for augmented common factor model. Parameter β(x)
                  reflects the relative change of mortality rate.


















                  Fig. 3. Age-specific parameter bx for individual LC model fitted to pairs of male populations for
                  ages 0-100 (5-year age groups) and the period 1950-2015


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