J/ApJ/733/68 Exoplanet masses derived from RVs (Brown+, 2011)
Density estimation for projected exoplanet quantities.
Brown R.A.
<Astrophys. J., 733, 68 (2011)>
=2011ApJ...733...68B 2011ApJ...733...68B
ADC_Keywords: Planets ; Stars, masses ; Stars, double and multiple
Keywords: astrobiology - binaries: spectroscopic - methods: analytical -
methods: data analysis - methods: statistical - planetary systems -
techniques: radial velocities
Abstract:
Exoplanet searches using radial velocity (RV) and microlensing (ML)
produce samples of "projected" mass and orbital radius, respectively.
We present a new method for estimating the probability density
distribution (density) of the unprojected quantity from such samples.
For a sample of n data values, the method involves solving n
simultaneous linear equations to determine the weights of delta
functions for the raw, unsmoothed density of the unprojected quantity
that cause the associated cumulative distribution function (CDF) of
the projected quantity to exactly reproduce the empirical CDF of the
sample at the locations of the n data values. We smooth the raw
density using nonparametric kernel density estimation with a normal
kernel of bandwidth σ. We calibrate the dependence of σ on
n by Monte Carlo experiments performed on samples drawn from a
theoretical density, in which the integrated square error is
minimized. We scale this calibration to the ranges of real RV samples
using the Normal Reference Rule. The resolution and amplitude accuracy
of the estimated density improve with n. For typical RV and ML
samples, we expect the fractional noise at the PDF peak to be
approximately 80n-log2. For illustrations, we apply the new method
to 67 RV values given a similar treatment by Jorissen et al.
(2001A&A...379..992J 2001A&A...379..992J), and to the 308 RV values listed at
exoplanets.org on 2010 October 20.
File Summary:
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FileName Lrecl Records Explanations
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ReadMe 80 . This file
table1.dat 23 308 The 308 values of msini from RV at exoplanets.org
on 2010 October 20
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See also:
J/A+A/527/A140 : Mass limits on substellar companions (Reffert+, 2011)
http://exoplanets.org/ : Exoplanet orbit database web page
Byte-by-byte Description of file: table1.dat
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Bytes Format Units Label Explanations
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1- 13 A13 --- Name Exoplanet name
15- 23 F9.4 Mgeo msini [1.94/7730] Projected mass msin(i)
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History:
From electronic version of the journal
(End) Emmanuelle Perret [CDS] 07-Nov-2012