Bayesian analysis of luminescence measurements

• Bayesian approach is used to assess uncertainties in luminescence dating.
• We focus on the relationship between the dose and the luminescence measurements.
• OSL-SAR and TL-MAAD methods were investigated.
• A model is presented for TL-MAAD, focussing on the plateau and the robustness to outliers.

The age equation sets luminescence dating as a method of absolute dating. However, it is also characterized by the introduction of a large number of uncertainties. To assess these uncertainties, we decided to proceed under a Bayesian approach. The Bayesian approach is characterized by the formalization of the initial assumptions (prior). Thus, this approach can test the relevance of the different (expressed or implied) assumptions used to assess the dose. In the present communication, we focus on the relationship between the accumulated dose and the luminescence measurements in two cases: single aliquot regeneration and multiple aliquots additive dose methods. The aim is to see how the Bayesian approach can reduce the use of arbitrary criteria.