2013/12/31 by Ryan Martin, Chuanhai Liu
Mathematics · #math.ST #stat.TH
paper · pdf · doi:10.1214/14-sts472
published as Statistical Science 2014, Vol. 29, No. 2, 247-251 · Published in at http://dx.doi.org/10.1214/14-STS472 the Statistical Science (http://www.imstat.org/sts/) by the Institute of Mathematical Statistics (http://www.imstat.org)
arxiv created 2014/11/04 · arxiv updated 2014/11/05
This is an invited contribution to the discussion on Professor Deborah Mayo's paper, "On the Birnbaum argument for the strong likelihood principle," to appear in Statistical Science. Mayo clearly demonstrates that statistical methods violating the likelihood principle need not violate either the sufficiency or conditionality principle, thus refuting Birnbaum's claim. With the constraints of Birnbaum's theorem lifted, we revisit the foundations of statistical inference, focusing on some new foundational principles, the inferential model framework, and connections with sufficiency and conditioning. [arXiv:1302.7021]