  We present the results of a Bayesian analysis of solar and KamLAND neutrino
data in the framework of three-neutrino mixing. We adopt two approaches for the
prior probability distribution of the oscillation parameters Delta m^2_{21},
sin^2 theta_{12}, sin^2 theta_{13}: 1) a traditional flat uninformative prior;
2) an informative prior which describes the limits on sin^2 theta_{13} obtained
in atmospheric and long-baseline accelerator and reactor neutrino experiments.
In both approaches, we present the allowed regions in the sin^2 theta_{13} -
Delta m^2_{21} and sin^2 theta_{12} - sin^2 theta_{13} planes, as well as the
marginal posterior probability distribution of sin^2 theta_{13}. We confirm the
1.2 sigma hint of theta_{13} > 0 found in hep-ph/0806.2649 from the analysis of
solar and KamLAND neutrino data. We found that the statistical significance of
the hint is reduced to about 0.8 sigma by the constraints on sin^2 theta_{13}
coming from atmospheric and long-baseline accelerator and reactor neutrino
data, in agreement with arXiv:0808.2016.
