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This paper introduces a feasible and practical Bayesian method for unit root testing in financial time series. We propose a convenient approximation of the Bayes factor in terms of the Bayesian Information Criterion as a straightforward and…

Econometrics · Economics 2021-02-23 Magris Martin , Iosifidis Alexandros

The timing of radio pulsars in binary systems provides a superb testing ground of general relativity. Here we propose a Bayesian approach to carry out these tests, and a relevant efficient numerical implementation, that has several…

General Relativity and Quantum Cosmology · Physics 2016-07-27 Walter Del Pozzo , Alberto Vecchio

Polarimetry is one of the keys to enhanced direct imaging of exoplanets. Not only does it deliver a differential observable providing extra contrast, but when coupled with spectroscopy, it also reveals valuable information on the…

Instrumentation and Methods for Astrophysics · Physics 2015-05-13 Guillaume Schworer , Peter G. Tuthill

We propose and evaluate the feasibility of a new strategy to search for planets via microlensing observations. This new strategy is designed to detect planets in "wide" orbits, i.e., with orbital separation, a, greater than ~1.5 R_E.…

Astrophysics · Physics 2007-05-23 Rosanne Di Stefano , Richard A. Scalzo

The discovery of rings around extrasolar planets ("exorings") is one of the next breakthroughs in exoplanetary research. Previous studies have explored the feasibility of detecting exorings with present and future photometric sensitivities…

Earth and Planetary Astrophysics · Physics 2015-04-17 Jorge I. Zuluaga , David Kipping , Mario Sucerquia , Jaime A. Alvarado

A probabilistic technique for the joint estimation of background and sources with the aim of detecting faint and extended celestial objects is described. Bayesian probability theory is applied to gain insight into the coexistence of…

Instrumentation and Methods for Astrophysics · Physics 2015-05-13 F. Guglielmetti , R. Fischer , V. Dose

This is a scientific strategy for the detection and characterization of extrasolar planets; that is, planets orbiting other stars. As such, it maps out over a 15-year horizon the techniques and capabilities required to detect and measure…

We present a proof of concept for a new algorithm which can be used to detect exoplanets in high contrast images. The algorithm properly combines mutliple observations acquired during different nights, taking into account the orbital motion…

Instrumentation and Methods for Astrophysics · Physics 2018-08-01 M. Nowak , H. Le Coroller , L. Arnold , K. Dohlen , D. Estevez , T. Fusco , J. -F. Sauvage , A. Vigan

We apply the Bayesian framework to assess the presence of a correlation between two quantities. To do so, we estimate the probability distribution of the parameter of interest, $\rho$, characterizing the strength of the correlation. We…

Instrumentation and Methods for Astrophysics · Physics 2016-06-01 P. Figueira , J. P. Faria , V. Zh. Adibekyan , M. Oshagh , N. C. Santos

We present a Bayesian method for the identification and classification of objects from sets of astronomical catalogs, given a predefined classification scheme. Identification refers here to the association of entries in different catalogs…

Instrumentation and Methods for Astrophysics · Physics 2015-06-15 Jörg P. Rachen

How can scientists conclude with high confidence that an exoplanet hosts life? As telescopes come on line over the next 20 years that can directly observe photons from terrestrial exoplanets, this question will dictate the activities of…

I present an initial investigation into a new planet detection technique that uses the transit timing of a known, transiting planet. The transits of a solitary planet orbiting a star occur at equally spaced intervals in time. If a second…

Astrophysics · Physics 2007-05-23 Jason H. Steffen

The evolution of space technology in recent years, fueled by advancements in computing such as Artificial Intelligence (AI) and machine learning (ML), has profoundly transformed our capacity to explore the cosmos. Missions like the James…

Earth and Planetary Astrophysics · Physics 2025-10-13 Vasuda Trehan , Kevin H. Knuth , M. J. Way

It is developed a very complex system (hardware/software) to detect luminosity variations connected with the discovery of new planets outside the Solar System. Traditional imaging approaches are very demanding in terms of computing time;…

Computer Vision and Pattern Recognition · Computer Science 2007-05-23 G. Iovane

We present a new framework to characterize the occurrence rates of planet candidates identified by Kepler based on hierarchical Bayesian modeling, Approximate Bayesian Computing (ABC), and sequential importance sampling. For this study we…

Earth and Planetary Astrophysics · Physics 2018-05-02 Danley C. Hsu , Eric B. Ford , Darin Ragozzine , Robert C. Morehead

Aims: We compare the apparent difference in timing of transiting planets (or eclipsing binaries) that are observed from widely separated locations (parallactic delay). Methods: A simple geometrical argument allow us to show that the…

Earth and Planetary Astrophysics · Physics 2015-06-17 Aviv Ofir

A method is developed for fitting theoretically predicted astronomical spectra to an observed spectrum. Using a hierarchical Bayesian principle, the method takes both systematic and statistical measurement errors into account, which has not…

Astrophysics · Physics 2008-11-26 Z. Shkedy , L. Decin , G. Molenberghs , C. Aerts

Theory testing in the physical sciences has been revolutionized in recent decades by Bayesian approaches to probability theory. Here, I will consider Bayesian approaches to theory extensions, that is, theories like inflation which aim to…

Cosmology and Nongalactic Astrophysics · Physics 2017-04-07 Luke A. Barnes

The detection of exoplanets through direct imaging has produced numerous new positive identifications in recent years. The technique is biased towards planets at wide separations due to the difficulty in removing the stellar signature at…

Earth and Planetary Astrophysics · Physics 2015-06-12 Stephen R. Kane

Close-in extrasolar giant planets may be directly detectable by their reflected light, due to the proximity of the planet to the illuminating star. The spectrum of the system will contain a reflected light component that varies in amplitude…

Astrophysics · Physics 2007-05-23 David Charbonneau , Robert W. Noyes