Hypernuclear production cross sections have been deduced for the first time with induced reaction of heavy ion beam on fixed target and by means of the invariant mass method by the HypHI Collaboration exploiting the reaction of 6 Li + 12 C at 2A GeV or sNN=2.70 GeV . A production cross section of 3.9±1.4 μb for 3 Λ H and of 3.1±1.0 μb for 4 Λ H respectively in the projectile rapidity region was inferred as well as the total production cross section of the Λ hyperon was measured and found to be equal to 1.7±0.8 mb . A global fit based on a Bayesian approach was performed in order to include and propagate statistical and systematic uncertainties. Production ratios of 3 Λ H/ 4 Λ H, 3 Λ H/Λ and 4 Λ H/Λ were included in the inference procedure. ...