%0 Journal Article %T A Parameterization Invariant Approach to the Statistical Estimation of the CKM Phase $\alpha$ %+ USRA Research Inbstitute for Advanced Computer Science (RIACS) %+ Laboratoire de Physique Théorique et Astroparticules (LPTA) %A Morris, Robin D. %A Cohen-Tanugi, Johann %Z 14 pages, 3 figures, 1 table %< avec comité de lecture %Z 08-077 %@ 1126-6708 %J Journal of High Energy Physics %I Springer %N 03 %P 10 %8 2009-03-03 %D 2009 %Z 0803.3458 %R 10.1088/1126-6708/2009/03/010 %K Statistical Methods %K CP violation %K B-Physics %Z Physics [physics]/High Energy Physics - Phenomenology [hep-ph]Journal articles %X In contrast to previous analyses, we demonstrate a Bayesian approach to the estimation of the CKM phase $\alpha$ that is invariant to parameterization. We also show that in addition to {\em computing} the marginal posterior in a Bayesian manner, the distribution must also be {\em interpreted} from a subjective Bayesian viewpoint. Doing so gives a very natural interpretation to the distribution. We also comment on the effect of removing information about $\mathcal{B}^{00}$. %G English %L hal-00365619 %U https://hal.science/hal-00365619 %~ IN2P3 %~ LPTA %~ CNRS %~ UNIV-MONTP2 %~ UNIV-MONTPELLIER %~ UM1-UM2