Page 134 - Contributed Paper Session (CPS) - Volume 3
P. 134

CPS1970 Nurul Aityqah Y. et al.
                  absolute percentage error (MAPE) and mean absolute scaled error (MASE) to
                  evaluate the accuracy of the LC model and its variants. The result shows that
                  BMS method performed well for female, male and total population for the
                  Malaysian data. Booth et al. (2006) also found that the BMS method have been
                  found to be more accurate than original LC model and the LM variant. The
                  decomposition of error has demonstrated that jump-off bias is a significant
                  source of error for LC (Booth et al., 2005).

                     Table 2: Evaluation performance of LC method and its variant (Female)
                    Method         ME         RMSE         MAE         MAPE         MASE
                       LC          o.82        0.97         0.82       28.28        1.22
                       LM          0.87        1.06         0.87       27.37        1.23
                      BMS         0.63         0.81        0.63        19.78        1.06

                       Table 3: Evaluation performance of LC method and its variant (Male)
                    Method         ME         RMSE         MAE         MAPE         MASE
                       LC          0.28        0.44         0.31       10.88        0.56
                       LM          0.24        0.44         0.34       10.29        0.57
                      BMS         0.15         0.31        0.27         7.88        0.51

                       Table 4: Evaluation performance of LC method and its variant (Total
                                                  Population)
                    Method         ME         RMSE         MAE         MAPE         MASE
                       LC          0.44        0.57         0.44       16.27        0.77
                       LM          0.47        0.65         0.47       15.64        0.76
                      BMS         0.42         0.58        0.42        13.75        0.78

                  4.   Conclusion
                      Based on our observation, we can see that the log mortality rates for male,
                  female and total population decreased as time passed and females in Malaysia
                  are expected to outlive the male population. The BMS variant performed best
                  for Malaysian data compared to its two counterparts examined in this study.
                  In  conclusion,  all  the  methods  with  actual  rates  taken  as  jump-off  rates
                  performed better than fitted rates (Zakiyatussariroh et al. 2014).

                  References
                  1.  Andreozzi, L., Blaconá, M. T., & Arnesi, N. (2011). The Lee Carter Method
                      for Estimating and Forecasting Mortaity: An Application for Argentina. In
                      International Symposium on Forecasting-2011, Prague Proceedings,
                      2050(5), 1–17.




                                                                     123 | I S I   W S C   2 0 1 9
   129   130   131   132   133   134   135   136   137   138   139