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Bibliography

Flaxman et al. (2015)

Flaxman, A.D., Vos, T., and Murray, C.J., 2015. An integrative metaregression framework for descriptive epidemiology.

Duration equation

In the text, section title SYSTEM DYNAMICS MODEL OF DISEASE IN A POPULATION gives as its first equation an integral for duration as a function of age and time.

Barendregt et al. (2003)

Barendregt, J.J., Van Oortmarssen, G.J., Vos, T. and Murray, C.J., 2003. A generic model for the assessment of disease epidemiology: the computational basis of DisMod II. Population health metrics, 1(1), pp.1-8. https://link.springer.com/article/10.1186/1478-7954-1-4

Pirnay et al. (2012)

Pirnay, H., Lopez-Negrete, R. and Biegler, L.T., 2012. Optimal sensitivity based on IPOPT. Mathematical Programming Computation, 4, pp.307-331. https://optimization-online.org/wp-content/uploads/2011/04/3008.pdf

DisMod-AT fixed effects distribution

fixed_effects_distribution

Wachter and Biegler (2006)

Wachter, A. and Biegler, L.T., 2006. On the implementation of an interior-point filter line-search algorithm for large-scale nonlinear programming. Mathematical programming, 106, pp.25-57. https://link.springer.com/article/10.1007/s10107-004-0559-y

Cole, Chu, and Greenland (2014)

Cole, S.R., Chu, H. and Greenland, S., 2014. Maximum likelihood, profile likelihood, and penalized likelihood: a primer. American journal of epidemiology, 179(2), pp.252-260. https://doi.org/10.1093/aje/kwt245