David Sprott Distinguished Lecture by Professor Peter Diggle, Lancaster University
A Tale of Two Parasites: how can Gaussian processes contribute to improved public health in Africa?
In this talk, I will rst make some general comments about the role of statistical modelling in scientic research, illustrated by two examples from infectious disease epidemiology. I will then describe in detail how statistical modelling based on Gaussian spatial stochastic processes has been used to construct region-wide risk maps to inform the operation of a multi-national control programme for onchocerciasis (river blindness) in equatorial Africa. Finally, I will describe work-in progress aimed at exploiting recent developments in mobile microscopy to enable more precise local predictions of community-level risk.

Statistical or machine learning involves predicting future outcomes from past observations. Many present day applications involve large numbers of predictor variables, sometimes much larger than the number of cases or observations available to train the learning algorithm. In such situations traditional statistical methods fail.
This lecture provides an overview of the real options approach to valuation mainly from the point of view of the author who has worked in this area for over 30 years. After a general introduction to the subject, numerical procedures to value real options are discussed.
Likelihood methods provide one of the most versatile and effective ways to handle data. They give us tests and confidence intervals with very strong optimality measures. But the cost for using them is usually that we have to know a family of distributions generating our data.