English
Related papers

Related papers: Bayesian analysis of caustic-crossing microlensing…

200 papers

The frequency of microlensing planet detections, particularly in difficult-to-model high-magnification events, is increasing. Their analysis can require tens of thousands of processor hours or more, primarily because of the high density and…

Astrophysics · Physics 2009-11-13 Andrew Gould

Despite the suspected binarity for a significant fraction of Galactic lenses, the current photometric surveys detected binary microlensing events only for a small fraction of the total events. The detection efficiency is especially low for…

Astrophysics · Physics 2009-10-31 Cheongho Han

We demonstrate that microlensing can be used for detecting planets in binary stellar systems. This is possible because in the geometry of planetary binary systems where the planet orbits one of the binary component and the other binary star…

The interpretation of gravitational microlensing events caused by planetary systems or multiple stars is based on the n-point-mass lens model. The first planets detected by microlensing were well described by the two-point-mass model of a…

Earth and Planetary Astrophysics · Physics 2015-06-12 Kamil Danek , David Heyrovsky

We study the possibility to detect extrasolar planets in M31 through pixel-lensing observations. Using a Monte Carlo approach, we select the physical parameters of the binary lens system, a star hosting a planet, and we calculate the…

Solar and Stellar Astrophysics · Physics 2010-11-02 G. Ingrosso , S. Calchi Novati , F. De Paolis , Ph. Jetzer , A. A. Nucita , A. F. Zakharov

A comprehensive new approach is presented for deriving probability densities of physical properties characterizing lens or source that constitute an observed galactic microlensing event. While previously encountered problems are overcome,…

Astrophysics · Physics 2009-11-11 M. Dominik

I present a previously unpublished method for modeling multiple lens microlensing events that is based on the image centered ray shooting approach of Bennett and Rhie. It has been used to model all a wide variety of binary and triple lens…

Earth and Planetary Astrophysics · Physics 2014-11-20 David P. Bennett

We propose a new method for conducting Bayesian prediction that delivers accurate predictions without correctly specifying the unknown true data generating process. A prior is defined over a class of plausible predictive models. After…

Methodology · Statistics 2020-08-24 Ruben Loaiza-Maya , Gael M. Martin , David T. Frazier

Planets on eccentric orbits have a higher geometric probability of transiting their host star. By application of Bayes' theorem, we reverse this logic to show that the eccentricity distribution of transiting planets is positively biased.…

Earth and Planetary Astrophysics · Physics 2015-06-22 David M. Kipping

Count outcomes in longitudinal studies are frequent in clinical and engineering studies. In frequentist and Bayesian statistical analysis, methods such as Mixed linear models allow the variability or correlation within individuals to be…

Methodology · Statistics 2024-07-15 Alejandra Estefanía Patiño Hoyos , Johnatan Cardona Jiménez

Markov Chain Monte Carlo (MCMC) methods have revolutionised Bayesian data analysis over the years by making the direct computation of posterior probability densities feasible on modern workstations. However, the calculation of the prior…

Instrumentation and Methods for Astrophysics · Physics 2009-11-13 Rutger van Haasteren

In the companion paper we began the task of systematically studying the detection of planets in wide orbits ($a > 1.5 R_E$) via microlensing surveys. In this paper we continue, focusing on repeating events. We find that, if all planetary…

Astrophysics · Physics 2009-10-31 Rosanne Di Stefano , Richard A. Scalzo

The interpretation of data in terms of multi-parameter models of new physics, using the Bayesian approach, requires the construction of multi-parameter priors. We propose a construction that uses elements of Bayesian reference analysis. Our…

Data Analysis, Statistics and Probability · Physics 2011-08-03 Maurizio Pierini , Harrison B. Prosper , Sezen Sekmen , Maria Spiropulu

Analysis of observational studies increasingly confronts the challenge of determining which of a possibly high-dimensional set of available covariates are required to satisfy the assumption of ignorable treatment assignment for estimation…

Methodology · Statistics 2022-03-23 Chanmin Kim , Mauricio Tec , Corwin M Zigler

We investigate the pattern of anomalies in the light curves of caustic-crossing binary microlensing events induced by spot(s) on the lensed source star. For this purpose, we perform simulations of events with various models of spots. From…

Astrophysics · Physics 2009-11-07 Heon-Young Chang , Cheongho Han

The gravitational field of a galaxy can act as a lens and deflect the light emitted by a more distant object such as a quasar. Strong gravitational lensing causes multiple images of the same quasar to appear in the sky. Since the light in…

Instrumentation and Methods for Astrophysics · Physics 2017-10-06 Hyungsuk Tak , Kaisey Mandel , David A. van Dyk , Vinay L. Kashyap , Xiao-Li Meng , Aneta Siemiginowska

The start of LHC has motivated an effort to determine the relative probability of the different regions of the MSSM parameter space, taking into account the present, theoretical and experimental, wisdom about the model. Since the present…

High Energy Physics - Phenomenology · Physics 2014-11-18 M. E. Cabrera , J. A. Casas , R. Ruiz de Austri

Parameter estimates for associated genetic variants, report ed in the initial discovery samples, are often grossly inflated compared to the values observed in the follow-up replication samples. This type of bias is a consequence of the…

Applications · Statistics 2011-04-15 Lizhen Xu , Radu V. Craiu , Lei Sun

Using observation data to estimate unknown parameters in computational models is broadly important. This task is often challenging because solutions are non-unique due to the complexity of the model and limited observation data. However,…

Methodology · Statistics 2018-12-18 Jiacheng Wu , Jian-Xun Wang , Shawn C. Shadden