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Binary orbits from combined astrometric and spectroscopic data
Solar and Stellar Astrophysics · Submitted 20 Oct 2017
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim One thousand independent repetitions of the simulation demonstrate that the 1- and 2-$\!\sigma$ credibility intervals for these fundamental quantities have close to the correct coverage fractions.
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The abstract, sentence by sentence
An efficient Bayesian technique for estimation problems in fundamental stellar astronomy is tested on simulated data for a binary observed both astrometrically and spectroscopically. Posterior distributions are computed for the components' masses and for the binary's parallax. One thousand independent repetitions of the simulation demonstrate that the 1- and 2-$\!\sigma$ credibility intervals for these fundamental quantities have close to the correct coverage fractions. In addition, the simulations allow the investigation of the statistical properties of a Bayesian goodness-of-fit criterion and of the corresponding p-value. The criterion has closely similar properties to the traditional chi^{2} test for minimum-chi^{2} solutions.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | An efficient Bayesian technique for estimation problems in fundamental stellar astronomy is tested on simulated data for a binary observed both astrometrically and spectroscopically. | contribution 0.82 | 0.86 | 0.08 | asserted 0.97 |
| s1 | Posterior distributions are computed for the components' masses and for the binary's parallax. | result 0.51 | 0.89 | 0.09 | asserted 0.99 |
| s2 | One thousand independent repetitions of the simulation demonstrate that the 1- and 2-$\!\sigma$ credibility intervals for these fundamental quantities have close to the correct coverage fractions. | result 1.00 | 0.93 | 0.49 | asserted 1.00 |
| s3 | In addition, the simulations allow the investigation of the statistical properties of a Bayesian goodness-of-fit criterion and of the corresponding p-value. | contribution 0.74 | 0.91 | 0.05 | asserted 0.90 |
| s4 | The criterion has closely similar properties to the traditional chi^{2} test for minimum-chi^{2} solutions. | result 0.76 | 0.82 | 0.13 | asserted 1.00 |
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Original abstract
An efficient Bayesian technique for estimation problems in fundamental stellar astronomy is tested on simulated data for a binary observed both astrometrically and spectroscopically. Posterior distributions are computed for the components' masses and for the binary's parallax. One thousand independent repetitions of the simulation demonstrate that the 1- and 2-$\!\sigma$ credibility intervals for these fundamental quantities have close to the correct coverage fractions. In addition, the simulations allow the investigation of the statistical properties of a Bayesian goodness-of-fit criterion and of the corresponding p-value. The criterion has closely similar properties to the traditional chi^{2} test for minimum-chi^{2} solutions.
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