Exchangeability, the 'Histogram Theorem', and population inference
Statistics Theory
2015-11-12 v1 Statistics Theory
Abstract
Some practical results are derived for population inference based on a sample, under the two qualitative conditions of 'ignorability' and exchangeability. These are the 'Histogram Theorem', for predicting the outcome of a non-sampled member of the population, and its application to inference about the population, both without and with groups. There are discussions of parametric versus non-parametric models, and different approaches to marginalisation. An Appendix gives a self-contained proof of the Representation Theorem for finite exchangeable sequences.
Cite
@article{arxiv.1511.03551,
title = {Exchangeability, the 'Histogram Theorem', and population inference},
author = {Jonathan Rougier},
journal= {arXiv preprint arXiv:1511.03551},
year = {2015}
}