Abstract
We are often interested in modeling the time that elapses between one event and another – for instance, between one birth and the next, between a medical treatment and recovery, or between losing a job and finding the next one. Duration models are concerned with describing and explaining these spells.
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Notes
- 1.
- 2.
See http://en.wikipedia.org/wiki/Maximum_likelihood for more formal definitions and examples.
- 3.
See http://en.wikipedia.org/wiki/Expectation-maximization_algorithm for a fuller discussion.
- 4.
See, for instance, http://en.wikipedia.org/wiki/Newton’s_method or any calculus textbook.
References
Cox, D.R. 1972. Regression models and life tables. Journal of the Royal Statistical Society, Series B 34: 187–220.
Crowder, M.J., A.C. Kimber, R.L. Smith, and T.J. Sweeting. 1991. Statistical analysis of reliability data. London: Chapman and Hall.
Greene, William H. 2003. Econometric analysis, 5th ed. Upper Saddle River: Prentice Hall.
Haughton, Dominique. 1997. Packages for estimating finite mixtures: A review. The American Statistician 51: 194–205.
Haughton, Dominique, and Jonathan Haughton. 1996. Using a mixture model to detect son preference in Vietnam. Journal of Biosocial Science 28: 355–365.
Haughton, J., and D. Haughton. 1995. Son preference in Vietnam. Studies in Family Planning 26(6): 325–337.
Hoa, H.T., N.V. Toan, A. Johansson, V.T. Hoa, B. Hojer, and L.A. Persson. 1996. Child spacing and two child policy in practice in rural Vietnam: Cross sectional survey. British Medical Journal 313: 1113–1116.
Leung, Siu Fai. 1988. On tests for sex preferences. Journal of Population Economics 1: 95–114.
Long, Kurt Z., James W. Wood, Edgar Vasquez Gariby, Kenneth M. Weiss, John J. Mathewson, Francisco J. de la Cabada, Herbert L. Dupont, and Richard A. Wilson. 1994. Proportional hazards analysis of diarrhea due to enterotoxigenic Escherichia coli and breastfeeding in a cohort of urban Mexican children. American Journal of Epidemiology 139(2): 193–205.
Maples, Jerry J., Susan A. Murphy, and William G. Axinn. 2002. Two-level proportional hazards models. Biometrics 58: 754–763.
Nagelkerke, Nico J.D., Stephen Moses, Joanne E. Embree, Françoise Jenniskens, and Francis A. Plummer. 1995. The duration of breastfeeding by HIV-1-infected mothers in developing countries: Balancing benefits and risks. Journal of Acquired Immune Deficiency Syndromes and Human Retrovirology 8: 176–181.
Nziramasanga, Mudziviri, and Minsoo Lee. 2001. Duration of self-employment in developing countries: Evidence from small enterprise in Zimbabwe. Small Business Economics 17: 239–253.
Pong, Suet-Ling. 1994. Sex preference and fertility in peninsular Malaysia. Studies in Family Planning 25(3): 137–148.
Trussell, James, and Charles Hammerslough. 1983. A hazards-model analysis of the covariates of infant and child mortality in Sri Lanka. Demography 20(1): 1–26.
Wang, Duolao, Ian Diamond, and Siàn L. Curtis. 1998. Contraceptive failure and its subsequent effects in China: A two-stage event history analysis. Asia-Pacific Population Journal 13(1): 45–64.
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Haughton, D., Haughton, J. (2011). Duration Models. In: Living Standards Analytics. Statistics for Social and Behavioral Sciences. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-0385-2_14
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