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We perform a global fit of the most relevant neutrinoless double beta decayexperiments within the standard model with massive Majorana neutrinos. UsingBayesian inference makes it possible to take into account the theoreticaluncertainties on the nuclear matrix elements in a fully consistent way. First,we analyze the data used to claim the observation of neutrinoless double betadecay in Ge-76, and find strong evidence (according to Jeffrey's scale) for apeak in the spectrum and moderate evidence for that the peak is actually closeto the energy expected for the neutrinoless decay. We also find a significantlylarger statistical error than the original analysis, which we include in thecomparison with other data. Then, we statistically test the consistency betweenthis claim with that of recent measurements using Xe-136. We find that the twodata sets are about 40 to 80 times more probable under the assumption that theyare inconsistent, depending on the nuclear matrix element uncertainties and theprior on the smallest neutrino mass. Hence, there is moderate to strongevidence of incompatibility, and for equal prior probabilities the posteriorprobability of compatibility is between 1.3% and 2.5%. If one, despite suchevidence for incompatibility, combines the two data sets, we find that thetotal evidence of neutrinoless double beta decay is negligible. If one ignoresthe claim, there is weak evidence against the existence of the decay. We alsoperform approximate frequentist tests of compatibility for fixed ratios of thenuclear matrix elements, as well as of the no signal hypothesis. Generalizationto other sets of experiments as well as other mechanisms mediating the decay ispossible.

Combining and comparing neutrinoless double beta decay experiments using different nuclei