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Demography: measures and analysis

In 2013 the Ecole Nationale de la Statistique et de l’Analyse de l’Information (ENSAI) asked me to prepare a 18h-course in demography with particular focus on applications and techniques. This course was part of the curriculum in Ingénierie statistique des territoires et de la santé. 
I have been teaching this course since 2013 (2014, 2015, 2016, 2017, 2018) and I composed it in 6 2hr-lectures, each followed by lab-sessions of 1hr. I also prepared 2 (or 3) assignments for grading the students. Here a rough table of contents of the course:
  • Demographic accounting:
    • the balancing equation and growth rates
    • rates and person-years
    • the Lexis diagram
    • rates vs. probabilities
    • age-specific rates
    • age-standardization
    • decomposition of differences between rates
  • Life-table construction
    • a toy example
    • period life-tables
    • the issues of the ax , rate/probability conversion and open-ended interval
    • life-table in a continuous frame
    • life-table as a stationary population
  • Demographic models for aggregate data
    • parametric models over age
    • Relational models
    • Lee-Carter model and its variations
  • Smoothing methods in mortality
    • Quick Smoothing
    • Generalized Additive Model: a short overview
    • Direct Smoothing
    • P-splines
  • Fertility and reproduction
    • Period fertility rates
    • Cohort Fertility
    • Tempo effects
    • Reproduction measures
    • Coale-McNeil and Coale-Trussell models
    • Henry’s “Natural Fertility”
  • Population projection
    • Cohort component method
    • Projection matrix and age-classified model
    • Forecasting model parameters
    • The Lee-Carter model for forecasting mortality