McDonald, J.W. and Prevost, A.T.
The fitting of parameter-constrained demographic models
Mathematical and Computer Modelling, 26, (6), . (doi:10.1016/S0895-7177(97)00171-4).
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It is common to have knowledge about the unknown parameters of a demographic model which restricts the values of the parameters. With such knowledge, it is reasonable to require that our parameter estimates satisfy the parameter constraints and one should use a constrained estimation procedure. We briefly review existing approaches to fitting parameter-constrained models. We describe a Bayesian approach for the fitting of parameter-constrained demographic models, which is the main focus of the paper. We illustrate the Bayesian approach by fitting a parameter-constrained proportional hazards model based on current-status data and a parameter-constrained log-linear regression model for standardized mortality ratios.
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