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We obtain full information on the orbital parameters by combining radial velocity and astrometric measurements by means of Bayesian inference. We sample the parameter probability densities of orbital model parameters with a Markov chain…

Astrophysics · Physics 2009-11-13 M. Tuomi , S. Kotiranta , M. Kaasalainen

Bayesian model selection provides a natural alternative to classical hypothesis testing based on p-values. While many papers mention that Bayesian model selection is frequently sensitive to prior specification on the parameters, there are…

Methodology · Statistics 2024-02-27 Christopher T. Franck , Robert B. Gramacy

It has been proposed that magnetic activity could be enhanced due to interactions between close-in massive planets and their host stars. In this article, I present a brief overview of the connection between stellar magnetic activity and…

Solar and Stellar Astrophysics · Physics 2017-11-08 A. A. Vidotto

Bayesian reasoning is applied to the data by the ROG Collaboration, in which gravitational wave (g.w.) signals are searched for in a coincidence experiment between Explorer and Nautilus. The use of Bayesian reasoning allows, under well…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Pia Astone , Giulio D'Agostini , Sabrina D'Antonio

Exoplanets play an important role in understanding the mechanics of planetary system formation and orbital evolution. In this context the correlations of different parameters of the planets and their host star are useful guides in the…

Methodology · Statistics 2025-04-08 Patrick Bastian , Nicolai Bissantz

A Bayesian probability based approach is applied to the problem of detecting and parameterizing oscillations in the upper solar atmosphere for the first time. Due to its statistical origin, this method provides a mechanism for determining…

Astrophysics · Physics 2008-12-18 M. S. Marsh , J. Ireland , T. Kucera

These notes aim at presenting an overview of Bayesian statistics, the underlying concepts and application methodology that will be useful to astronomers seeking to analyse and interpret a wide variety of data about the Universe. The level…

Cosmology and Nongalactic Astrophysics · Physics 2017-01-09 Roberto Trotta

We study 23 previously published Kepler targets to perform a consistent grid-based Bayesian asteroseismic analysis and compare our results to those obtained via the Asteroseismic Modelling Portal (AMP). We find differences in the derived…

Solar and Stellar Astrophysics · Physics 2015-06-16 Michael Gruberbauer , David B. Guenther , Kieran MacLeod , Thomas Kallinger

The disciplines of asteroseismology and extrasolar planet science overlap methodically in the branch of high-precision photometric time series observations. Light curves are, amongst others, useful to measure intrinsic stellar variability…

Solar and Stellar Astrophysics · Physics 2010-05-20 Sonja Schuh

Discovering interaction effects on a response of interest is a fundamental problem faced in biology, medicine, economics, and many other scientific disciplines. In theory, Bayesian methods for discovering pairwise interactions enjoy many…

Computation · Statistics 2022-11-15 Raj Agrawal , Jonathan H. Huggins , Brian Trippe , Tamara Broderick

Constraints on cosmological parameters are often distilled from sky surveys by fitting templates to summary statistics of the data that are motivated by a fiducial cosmological model. However, recent work has shown how to estimate the…

Cosmology and Nongalactic Astrophysics · Physics 2022-11-16 Aseem Paranjape , Ravi K. Sheth

Context. Distinguishing between a signal induced by either stellar activity or a planet is currently the main challenge in radial velocity searches for low-mass exoplanets. Even when the presence of a transiting planet and hence its period…

Earth and Planetary Astrophysics · Physics 2017-05-17 A. Mortier , A. Collier Cameron

A common problem in disciplines of applied Statistics research such as Astrostatistics is of estimating the posterior distribution of relevant parameters. Typically, the likelihoods for such models are computed via expensive experiments…

Machine Learning · Statistics 2017-02-07 Kirthevasan Kandasamy , Jeff Schneider , Barnabás Póczos

The radial velocity method is one of the most successful techniques for detecting exoplanets. It works by detecting the velocity of a host star induced by the gravitational effect of an orbiting planet, specifically the velocity along our…

Instrumentation and Methods for Astrophysics · Physics 2020-08-26 David E. Jones , David C. Stenning , Eric B. Ford , Robert L. Wolpert , Thomas J. Loredo , Christian Gilbertson , Xavier Dumusque

A method is presented for performing joint analyses of cosmological datasets, in which the weight assigned to each dataset is determined directly by it own statistical properties. The weights are considered in a Bayesian context as a set of…

Astrophysics · Physics 2009-11-07 M. P. Hobson , S. L. Bridle , O. Lahav

Understanding the oscillating behaviors that govern organisms' internal biological processes requires interdisciplinary efforts combining both biological and computer experiments, as the latter can complement the former by simulating…

Applications · Statistics 2024-12-17 Youngdeok Hwang , Hang J. Kim , Won Chang , Christian Hong , Steven N. MacEachern

In an era of large spectroscopic surveys of stars and big data, sophisticated statistical methods become more and more important in order to infer fundamental stellar parameters such as mass and age. Bayesian techniques are powerful methods…

Solar and Stellar Astrophysics · Physics 2017-02-01 F. R. N. Schneider , N. Castro , L. Fossati , N. Langer , A. de Koter

Aims: Stellar activity may complicate the analysis of high-precision radial-velocity spectroscopic data when looking for exoplanets signatures. We aim at quantifying the impact of stellar spots on stars with various spectral types and…

Astrophysics · Physics 2009-11-13 Morgan Desort , Anne-Marie Lagrange , Franck Galland , Stephane Udry , Michel Mayor

Spatial interaction and spatial autocorrelation are two different fields of geo-spatial analysis, revealing the internal relationship between the two fields will help to develop the theory and method of geographical analysis. This paper is…

Physics and Society · Physics 2023-05-30 Yanguang Chen

The goal of this thesis is twofold; introduce the fundamentals of Bayesian inference and computation focusing on astronomical and cosmological applications, and present recent advances in probabilistic computational methods developed by the…

Instrumentation and Methods for Astrophysics · Physics 2023-03-31 Minas Karamanis