Novel mortality models are developed by extending the Lee–Carter (LC) model for death counts to incorporate a long memory time series structure.
Furthermore, models incorporating long memory structure provide a new approach to enhance mortality forecasts in terms of accuracy and reliability, which can improve the understanding of mortality. We demonstrate in this work the existence of long memory in mortality data. Mortality projection and forecasting of life expectancy are two important aspects of the study of demography and life insurance modelling.