For one sample, this is a reasonable assumption; but as soon as we wish to calibrate a second measurement from a site, this assumption is no longer valid (if our first sample is of Iron Age date, then it is much more likely that subsequent samples from the same site will also be Iron Age). The radiocarbon dates on this graph have in reality been simulated from known points on the calendar scale.
The Bayesian statistical paradigm has a wide range of potential applications in archaeology, which has led me to work on estimating age-at-death of humans and sheep, and on predicting the location of archaeological sites in the landscape.
Through MSc students in Statistics at Sheffield I have also been involved in work on mathematical models for changes in nitrogen isotopes with weaning, and the analysis of uncertainty in chronologies constructed from ancient near eastern King Lists.
Past work has examined age of weaning using nitrogen isotope ratios, developing a mathematical model and examining its application to a 19th century population from London.
A major project examined migration into and around Britain using strontium and oxygen isotope ratios measured in Anglo-Saxon and Viking remains.
I welcome enquiries from potential Ph D students in any of the above areas, or in related topics.