Inferring planet occurrence rates from radial velocities
arXiv:2512.01804 · doi:10.1051/0004-6361/202557774
Abstract
We introduce a new method to infer the posterior distribution for planet occurrence rates from radial-velocity (RV) observations. The approach combines posterior samples from the analysis of individual RV datasets of several stars, using importance sampling to reweight them appropriately. This eliminates the need for injection-recovery tests to compute detection limits and avoids the explicit definition of a detection threshold. We validate the method on simulated RV datasets and show that it yields unbiased estimates of the occurrence rate in different regions, with increasing precision as more stars are included in the analysis.
7 pages, 8 figures. Accepted for publication in A&A
References in corpus (22)
- MultiNest: an efficient and robust Bayesian inference tool for cosmology and particle physics
- The HARPS search for southern extra-solar planets XXXI. The M-dwarf sample
- The Occurrence and Mass Distribution of Close-in Super-Earths, Neptunes, and Jupiters
- Quantifying the Uncertainty in the Orbits of Extrasolar Planets
- The Lick Planet Search: Detectability and Mass Thresholds
- Dynamic nested sampling: an improved algorithm for parameter estimation and evidence calculation
- Exoplanet population inference and the abundance of Earth analogs from noisy, incomplete catalogs
- Inferring the eccentricity distribution
- Population-Level Eccentricity Distributions of Imaged Exoplanets and Brown Dwarf Companions: Dynamical Evidence for Distinct Formation Channels
- Bayesian search for low-mass planets around nearby M dwarfs. Estimates for occurrence rate based on global detectability statistics
- A candidate short-period sub-Earth orbiting Proxima Centauri
- Detecting extrasolar planets from stellar radial velocities using Bayesian evidence
- Nested Sampling Methods
- Uncovering the planets and stellar activity of CoRoT-7 using only radial velocities
- Planetary system LHS 1140 revisited with ESPRESSO and TESS
- The HARPS search for southern extra-solar planets. XXXIV. A planetary system around the nearby M dwarf GJ163, with a super-Earth possibly in the habitable zone
- Rethinking the Effective Sample Size
- kima: Exoplanet detection in radial velocities
- Fast Bayesian Inference for Exoplanet Discovery in Radial Velocity Data
- Influence of Stellar Metallicity on Occurrence Rates of Planets and Planetary Systems
- Sub-m s upper limits from a deep HARPS-N radial-velocity search for planets orbiting HD 166620 and HD 144579
- Improving circumbinary planet detections by fitting their binary's apsidal precession