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An R package SpatialPack that implements routines to compute point estimators and perform hypothesis testing of the spatial association between two stochastic sequences is introduced. These methods address the spatial association between…

Applications · Statistics 2016-11-17 Felipe Osorio , Ronny Vallejos , Francisco Cuevas

A standard practice in extragalactic population studies is the fitting of parametric models to galaxy images. From such fits, key structural parameters of galaxies such as total flux and effective radius (size) can be extracted. One of the…

Astrophysics of Galaxies · Physics 2023-06-12 Imad Pasha , Tim B. Miller

- Aims: We intended to quantify the impact of stellar multiplicity on the presence and properties of exoplanets. - Methods: We investigated all exoplanet host stars at less than 100 pc using the latest astrometric data from Gaia DR3 and…

Solar and Stellar Astrophysics · Physics 2024-09-25 J. González-Payo , J. A. Caballero , J. Gorgas , M. Cortés-Contreras , M. -C. Gálvez-Ortiz , C. Cifuentes

We present a Bayesian hierarchical inference formalism to study the relation between the properties of dark matter halos and those of their central galaxies using weak gravitational lensing. Unlike traditional methods, this technique does…

Cosmology and Nongalactic Astrophysics · Physics 2018-09-11 Alessandro Sonnenfeld , Alexie Leauthaud

[Abridged] Context. Stellar activity is an important source of systematic errors and uncertainties in the characterization of exoplanets. Most of the techniques used to correct for this activity focus on an ad hoc data reduction. Aims. We…

Earth and Planetary Astrophysics · Physics 2016-11-03 G. Bruno , M. Deleuil , J. -M. Almenara , S. C. C. Barros , A. F. Lanza , M. Montalto , I. Boisse , A. Santerne , A. -M. Lagrange , N. Meunier

Probabilistic models inform an increasingly broad range of business and policy decisions ultimately made by people. Recent algorithmic, computational, and software framework development progress facilitate the proliferation of Bayesian…

Human-Computer Interaction · Computer Science 2022-01-12 Sebastian Stein , John H. Williamson

This paper studies the problem of testing whether a function is monotone from a nonparametric Bayesian perspective. Two new families of tests are constructed. The first uses constrained smoothing splines, together with a hierarchical…

Methodology · Statistics 2014-06-03 James G. Scott , Thomas S. Shively , Stephen G. Walker

Model selection aims to determine which theoretical models are most plausible given some data, without necessarily asking about the preferred values of the model parameters. A common model selection question is to ask when new data require…

Astrophysics · Physics 2008-11-26 Andrew R. Liddle , Pia Mukherjee , David Parkinson

Measurements of radial velocity variations from the spectroscopic monitoring of stars and their companions are essential for a broad swath of astrophysics, providing access to the fundamental physical properties that dictate all phases of…

Fundamental to our understanding of planetary bulk compositions is the relationship between their masses and radii, two properties that are often not simultaneously known for most exoplanets. However, while many previous studies have…

Earth and Planetary Astrophysics · Physics 2023-08-22 Shubham Kanodia , Matthias Y. He , Eric B. Ford , Sujit K. Ghosh , Angie Wolfgang

This paper focuses on the analysis of spatially correlated functional data. The between-curve correlation is modeled by correlating functional principal component scores of the functional data. We propose a Spatial Principal Analysis by…

Statistics Theory · Mathematics 2014-11-19 Chong Liu , Surajit Ray , Giles Hooker

Stellar active regions like spots and faculae can distort the shapes of spectral lines, inducing variations in the radial velocities that are often orders of magnitude larger than the signals from Earth-like planets. Efforts to mitigate…

Earth and Planetary Astrophysics · Physics 2024-10-17 Haochuan Yu , Suzanne Aigrain , Baptiste Klein , Michael Cretignier , Florian Lienhard , Stephen J. Roberts

Statistical analysis of max-stable processes used to model spatial extremes has been limited by the difficulty in calculating the joint likelihood function. This precludes all standard likelihood-based approaches, including Bayesian…

Computation · Statistics 2011-12-14 Robert J. Erhardt , Richard L. Smith

We consider Bayesian algorithm execution (BAX), a framework for efficiently selecting evaluation points of an expensive function to infer a property of interest encoded as the output of a base algorithm. Since the base algorithm typically…

Machine Learning · Computer Science 2024-10-29 Chu Xin Cheng , Raul Astudillo , Thomas Desautels , Yisong Yue

In this paper we extend existing Bayesian methods for variable selection in Gaussian process regression, to select both the regression terms and the active covariates in the spatial correlation structure. We then use the estimated posterior…

Methodology · Statistics 2015-01-05 Ofir Harari , David M. Steinberg

The growing number of exoplanet discoveries and advances in machine learning techniques have opened new avenues for exploring and understanding the characteristics of worlds beyond our Solar System. In this study, we employ efficient…

Earth and Planetary Astrophysics · Physics 2023-08-29 Mahdiyar Mousavi-Sadr , Davood M. Jassur , Ghassem Gozaliasl

Astrometry is less sensitive to stellar activity than the radial velocity technique when attempting to detect Earth mass planets in the habitable zone of solar-type stars. This is due to a smaller number of physical processes affecting the…

Earth and Planetary Astrophysics · Physics 2022-03-30 Nadège Meunier , Anne-Marie Lagrange

We present a unified framework to derive fundamental stellar parameters by combining all available observational and theoretical information for a star. The algorithm relies on the method of Bayesian inference, which for the first time…

Solar and Stellar Astrophysics · Physics 2015-06-18 Ralph Schönrich , Maria Bergemann

In spite of the diverse literature on nonstationary spatial modeling and approximate Gaussian process (GP) methods, there are no general approaches for conducting fully Bayesian inference for moderately sized nonstationary spatial data sets…

Computation · Statistics 2020-07-01 Mark D. Risser , Daniel Turek

Gaussian graphical models are widely used to infer dependence structures. Bayesian methods are appealing to quantify uncertainty associated with structural learning, i.e., the plausibility of conditional independence statements given the…

Methodology · Statistics 2025-11-05 Deborah Sulem , Jack Jewson , David Rossell
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