Abstract
Phil Rees pioneered multistate population accounts. Accounts are tables that integrate in a systematic and consistent way data on demographic events such as births, deaths and migrations. An account provides a framework for the measurement of these events and the estimation of missing data. It is also a framework for combining flows and stocks in a consistent manner. The method proposed by Rees and Wilson in 1977 has much in common with the Expectation-Maximization (EM) algorithm, which is a statistical method for maximum likelihood estimation in the presence of missing data. The paper shows that the demographic accounting method pioneered by Phil Rees incorporates the major features of the EM algorithm and may therefore be referred to as an EM algorithm avant-la-lettre.
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References
Andersen, P. K., & Keiding, N. (2002). Multi-state models for event history analysis. Statistical Methods in Medical Research, 11, 91–115.
Andersen, P. K., & Perme, M. P. (2008). Inference for outcome probabilities in multi-state models. Lifetime Data Analysis, 14, 405–431.
Dempster, A. P., Laird, M. M., & Rubin, D. B. (1977). Maximum likelihood fromincomplete data via the EM algorithm (with discussion). Journal of the Royal Statistical Society B, 39, 1–38.
Ledent, J. (1980). Multistate life tables: Movement versus transition perspectives. Environment and Planning A, 12(5), 533–562.
McLachlan, G. J., & Krishnan, T. (1997). The EM algorithm and extensions. New York: Wiley.
Rees, P. H. (1979). Regional population projection models and accounting methods. Journal of the Royal Statistical Society A, 142, 223–255.
Rees, P., Norman, P., Wohland, P., & Boden, P. (2010). Report on ethnic population projections for the UK. School of Geography, University of Leeds, Leeds.
Rees, P. H., & Willekens, F. (1986). Data and accounts. In A. Rogers & F. Willekens (Eds.), Migration and settlement: A multiregional comparative study (pp. 19–58). Reidel Press: Dordrecht.
Rees, P., & Wilson, A. (1977). Spatial population analysis. London: Edward Arnold.
Rogers, A. (1975). Introduction to multiregional mathematical demography. New York: Wiley.
Willekens, F. J. (1999). Modeling approaches to the indirect estimation of migration flows: From entropy to EM. Mathematical Population Studies, 7(3), 239–278.
Yamaguchi, K. (1991). Event history analysis. Newbury Park, CA: Sage Publications.
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Willekens, F. (2011). Population Accounts. In: Stillwell, J., Clarke, M. (eds) Population Dynamics and Projection Methods. Understanding Population Trends and Processes, vol 4. Springer, Dordrecht. https://doi.org/10.1007/978-90-481-8930-4_2
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DOI: https://doi.org/10.1007/978-90-481-8930-4_2
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