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In my previous reanalysis of the local star-forming galaxies observed in theHobby-Eberly Telescope Dark Energy Experiment (HETDEX) pilot survey, I reportedthat the overestimation of E(B - V), hence the star formation rate (SFR),undermined the claim of new galaxy population discovery in the original study.Herein, I re-examine whether the E(B - V) overestimation problem can bealleviated in the Bayesian parameter estimation framework by adoptingscientifically motivated new priors. I modelled the emission-line fluxes ofgalaxies using the strong-line method and four model parameters-metallicity 12+ log (O/H), nebula emission-line colour excess E(B - V), intrinsic [O III]$\lambda$5007 line flux and intrinsic [N II] $\lambda$6584 line flux. Based onmock-data tests, I found that all input values can be recovered within andaround the 1-$\sigma$ credible interval by adopting suitable priors for theintrinsic [O III] $\lambda$5007 and [N II] $\lambda$6584 line fluxes: theinverse gamma distribution reflecting the logical constraint that an intrinsicemission-line flux must exceed the observed (reddened) emission-line flux. Themock-data tests were performed for two metallicity calibrations, three colourexcess input values [E(B - V) = 0.1, 0.3 and 0.5] and two metallicity inputvalues [12 + log (O/H) = 8.0 and 8.5]. I also found that the new prior candiminish the SFR overestimation eightfold. This study demonstrates how theBayesian parameter estimation can achieve more accurate estimates with nofurther observations when the likelihood does not constrain the modelparameters correctly.

Re-examining the Bayesian colour excess estimation for the local star-forming galaxies observed in the HETDEX Pilot Survey