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Exoplanet Doppler surveys are currently the most efficient means to detectlow-mass companions to nearby stars. Among these stars, the light M dwarfsprovide the highest sensitivity to detect low-mass exoplanet candidates.Evidence is accumulating that a substantial fraction of these low-mass planetsare found in high-multiplicity planetary systems. GJ 163 is a nearby inactive Mdwarf with abundant public observations obtained using the HARPS spectrograph.We obtain and analyse radial velocities from the HARPS public spectra of GJ 163and investigate the presence of a planetary companions orbiting it. The numberof planet candidates detected might depend on some prior assumptions. Since theimpact of prior choice has not been investigated throughly previously, we studythe effects of different prior densities on the detectability of planetcandidates around GJ 163. We use Bayesian tools, i.e. posterior samplings andmodel comparisons, when analysing the GJ 163 velocities. We consider modelsaccounting for the possible correlations of subsequent measurements. We alsosearch for activity-related counterparts of the signals we observe and test thedynamical stability of the planetary systems corresponding to our solutionsusing direct numerical integrations of the orbits. We find that there are atleast three planet candidates orbiting GJ 163. The existence of a fourth planetis supported by the data but the evidence in favor of the corresponding modelis not yet conclusive. The second innermost planet candidate in the system withan orbital period of 25.6 days and a minimum mass of 8.7 Me is inside theliquid-water habitable zone of the star.

Up to four planets around the M dwarf GJ 163. Sensitivity of Bayesian planet detection criteria to prior choice