## Recent preprints by David Bickel

## Do models have probabilities or just possibilities?

Andrew says: David:I don’t think it makes sense to talk of the probability of a model. See this paper with Shalizi for much discussion of this point.

David Bickel says: If models do not have probabilities, perhaps they have possibilities in the sense of possibility theory. For example, the possibility of a model might be a function of its adequacy according to a model checking procedure: Appendix B of https://goo.gl/5s7bS3

## Model fusion & multiple testing in the likelihood paradigm

D. R. Bickel, “Model fusion and multiple testing in the likelihood paradigm: Shrinkage and evidence supporting a point null hypothesis,” Working Paper, University of Ottawa, deposited in uO Research at http://hdl.handle.net/10393/31897 (2014). 2014 preprint | Supplement (link added 10 February 2015)

Errata for Theorem 4:

- The weights of evidence should not be conditional.
- Some of the equal signs should be “is a member of” signs.

## Self-consistent frequentism without fiducialism

D. R. Bickel, “Self-consistent confidence sets and tests of composite hypotheses applicable to restricted parameters,” Working Paper, University of Ottawa, deposited in uO Research at http://www.ruor.uottawa.ca/handle/10393/31530 (2014). 2014 preprint