4 papers
General Bayesian L2 calibration of mathematical models
Antony M. Overstall, James M. McGree
A mathematical model is a function taking certain arguments and returning a theoretical prediction of a feature of a physical system. The arguments to the mathematical model can be…
A general Bayesian approach to design adaptive clinical trials with time-to-event outcomes
James M. McGree, Antony M. Overstall, Mark Jones +1
Clinical trials are an integral component of medical research. Trials require careful design to, for example, maintain the safety of participants, use resources efficiently and all…
Optimal design of dynamic experiments for scalar-on-function linear models with application to a biopharmaceutical study
Damianos Michaelides, Maria Adamou, David C. Woods +1
A Bayesian optimal experimental design framework is developed for experiments where settings of one or more variables, referred to as profile variables, can be functions. For this…
Gibbs optimal design of experiments
Antony M. Overstall, Jacinta Holloway-Brown, James M. McGree
Bayesian optimal design is a well-established approach to planning experiments. A distribution for the responses, i.e. a statistical model, is assumed which is dependent on unknown…