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Generalized partition testing via Bayes linear methods (2001)
Journal Article
Coolen, F., Goldstein, M., & Munro, M. (2001). Generalized partition testing via Bayes linear methods. Information and Software Technology, 43(13), 783-793. https://doi.org/10.1016/s0950-5849%2801%2900185-9

This paper explores the use of Bayes linear methods related to partition testing for software. If a partition of the input domain has been defined, the method works without the assumption of homogeneous (revealing) subdomains, and also includes the p... Read More about Generalized partition testing via Bayes linear methods.

Bayesian forecasting for complex systems using computer simulators (2001)
Journal Article
Craig, P., Goldstein, M., Rougier, J., & Seheult, A. (2001). Bayesian forecasting for complex systems using computer simulators. Journal of the American Statistical Association, 96(454), 717-729. https://doi.org/10.1198/016214501753168370

Although computer models are often used for forecasting future outcomes of complex systems, the uncertainties in such forecasts are not usually treated formally. We describe a general Bayesian approach for using a computer model or simulator of a com... Read More about Bayesian forecasting for complex systems using computer simulators.

Avoiding foregone conclusions: geometric and foundational analysis of paradoxes of finite additivity (2001)
Journal Article
Goldstein, M. (2001). Avoiding foregone conclusions: geometric and foundational analysis of paradoxes of finite additivity. Journal of Statistical Planning and Inference, 94(1), 73-87. https://doi.org/10.1016/s0378-3758%2800%2900229-9

We consider an example in which the use of finitely additive probabilities leads to the seemingly paradoxical conclusion that we may reason to a foregone conclusion. We give an informal treatment of this paradox. We then develop a geometric approach... Read More about Avoiding foregone conclusions: geometric and foundational analysis of paradoxes of finite additivity.

A Bayesian Analysis of Fluid Flow in Pipelines (2001)
Journal Article
Rougier, J., & Goldstein, M. (2001). A Bayesian Analysis of Fluid Flow in Pipelines. Journal of the Royal Statistical Society: Series C, 50(1), 77-93. https://doi.org/10.1111/1467-9876.00221

The waterhammer equations are a pair of partial differential equations that describe the behaviour of an incompressible fluid in a pipe-line. We generalize these equations to account for uncertainty in the description of the liquid and the pipe-line,... Read More about A Bayesian Analysis of Fluid Flow in Pipelines.