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Table 2

Derived parameters, 68.3% confidence regions and Bayes factors B obtained via Bayesian fitting of observed planet occurrence rates as a function of stellar mass and metallicity.

α β C μ σ M 0 B Mass range
[ M] [ M] [ M] [ M]

New Bayesian fits

Uniform prior limits –1.5...+1.5 0.0...3.0 0.01...0.30 1.0...3.0 0.1...2.0 0.5...2.0

Eq. (3) ... 1.7 0.082 1.9 0.5 ... 1.0 1.0 ...5.0
... 1.3–2.0 0.056–0.122 1.4–2.0 0.3–1.0 ... (fixed) ...
Eq. (4) 1.0 1.8 0.223 ... ... 0.7 1.3 1.0 ...5.0
(fixed) 1.3–2.0 0.111–0.432 ... ... 0.6–1.0 ... ...
Eq. (5) –0.3 1.6 0.089 ... ... ... 8.4 1.0 ...5.0
–0.6–0.0 1.2–1.9 0.059–0.124 ... ... ... ... ...
flat ... 1.8 0.044 ... ... ... 76 1.0 ...5.0
... 1.3–2.1 0.031–0.060 ... ... ... ... ...

Other investigations

Johnson et al. (2010a) 1.0 ± 0.3 1.2 ± 0.2 0.07 ± 0.01 ... ... ... 0.2 ...2.0
Udry & Santos (2007) ... 2.04 0.0301 ... ... ... 0.7 ...1.4
Fischer & Valenti (2005) ... 2.0 0.03 ... ... ... 0.7 ...1.5

Notes. See Eqs. (3)–(5). Parameter values from other studies are given for comparison.

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