@techreport{eprints3518, institution = {IMT School for Advanced Studies Lucca}, year = {2016}, month = {July}, publisher = {IMT School for Advanced Studies Lucca}, title = {A continuous-time stochastic model for the mortality surface of multiple populations}, type = {EIC working paper series}, author = {Petar Jevti{\'c} and Luca Regis}, keywords = {Keywords: multi-population mortality, mortality surface, continuous-time stochastic mortality, Kalman filter estimation, centralized data fusion. JEL classification: C13, C38, G22, J11.}, abstract = {We formulate, study and calibrate a continuous-time model for the joint evolution of the mortality surface of multiple populations. We model the mortality intensity by age and population as a mixture of stochastic latent factors, that can be either population-specific or common to all populations. These factors are described by affine time-(in)homogenous stochastic processes. Traditional, deterministic mortality laws can be extended to multi-population stochastic counterparts within our framework. We detail the calibration pro- cedure when factors are Gaussian, using centralized data-fusion Kalman filter. We provide an application based on the mortality of UK males and females. Although parsimonious, the specification we calibrate provides a good fit of the observed mortality surface (ages 0-99) of both sexes between 1960 and 2013.}, url = {http://eprints.imtlucca.it/3518/} }