Correction for observational selection effects when analyzing the statistics of exoplanets discovered with the radial velocity technique
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Abstract
We propose an improved method for correcting observational selection effects when studying the statistics of exoplanets discovered with the radial velocity technique. We verify the proposed method through the numerical simulation of planets whose mass distribution follows a power law with an exponent of −1, −1.5, −2, −2.5, −3. The Lomb – Scargle periodograms are used to evaluate the detectability of planets. The proposed algorithm taking into account the number of radial velocity measurements is shown to successfully reconstruct the minimum mass distribution of exoplanets.
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