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We describe and use two different statistical approaches to try and detect low-frequency solar oscillations in Sun-as-a-star data: a frequentist approach and a Bayesian approach. We have used frequentist statistics to search contemporaneous…

Solar and Stellar Astrophysics · Physics 2015-05-18 A. -M. Broomhall , W. J. Chaplin , Y. Elsworth , T. Appourchaux , R. New

In this article, a model is proposed using Bayesian techniques to account for the high correlation between many observed set of contingency tables. In many real life data this high correlation is encountered. Simulation studies are also…

Methodology · Statistics 2013-10-01 Abhik Ghosh , Samit Roy , Sujatro Chaklader

Compared to mean regression and quantile regression, the literature on modal regression is very sparse. A unifying framework for Bayesian modal regression is proposed, based on a family of unimodal distributions indexed by the mode, along…

Methodology · Statistics 2024-07-02 Qingyang Liu , Xianzheng Huang , Rai Bai

Integrative analyses based on statistically relevant associations between genomics and a wealth of intermediary phenotypes (such as imaging) provide vital insights into their clinical relevance in terms of the disease mechanisms. Estimates…

Applications · Statistics 2022-08-16 Snigdha Panigrahi , Shariq Mohammed , Arvind Rao , Veerabhadran Baladandayuthapani

Modelling noise in gravitational-wave observatories is crucial for accurately inferring the properties of gravitational-wave sources. We introduce a transdimensional Bayesian approach to characterise the noise in ground-based…

Instrumentation and Methods for Astrophysics · Physics 2025-03-10 Nir Guttman , Paul D. Lasky , Eric Thrane

We present a method of searching for, and parameterizing, signals from known radio pulsars in data from interferometric gravitational wave detectors. This method has been applied to data from the LIGO and GEO 600 detectors to set upper…

General Relativity and Quantum Cosmology · Physics 2013-05-29 Réjean J. Dupuis , Graham Woan

Gravitational wave data from ground-based detectors is dominated by instrument noise. Signals will be comparatively weak, and our understanding of the noise will influence detection confidence and signal characterization. Mis-modeled noise…

General Relativity and Quantum Cosmology · Physics 2015-04-22 Tyson B. Littenberg , Neil J. Cornish

It is not always clear how to adjust for control data in causal inference, balancing the goals of reducing bias and variance. We show how, in a setting with repeated experiments, Bayesian hierarchical modeling yields an adaptive procedure…

Methodology · Statistics 2025-01-23 Andrew Gelman , Matthijs Vákár

Bayesian modeling provides a principled approach to quantifying uncertainty in model parameters and model structure and has seen a surge of applications in recent years. Within the context of a Bayesian workflow, we are concerned with model…

Methodology · Statistics 2025-01-24 Maximilian Scholz , Paul-Christian Bürkner

A Bayesian treatment of the problem of detecting an unmodelled gravitational wave burst with a global network of gravitational wave observatories reveals that several previously proposed statistics have implicit biases that render them…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Antony C Searle , Patrick J Sutton , Massimo Tinto , Graham Woan

The discovery of the coalescence of binary neutron star GW170817 was a watershed moment in the field of gravitational wave astronomy. Among the rich variety of information that we were able to uncover from this discovery was the first…

General Relativity and Quantum Cosmology · Physics 2021-10-06 Shaon Ghosh , Xiaoshu Liu , Jolien Creighton , Wolfgang Kastaun , Geraint Pratten , Ignacio Magana Hernandez

Recent research revealed a considerable lack of reliability for user feedback when interacting with adaptive systems, often denoted as user noise or human uncertainty. Moreover, this lack of reliability holds striking impacts for the…

Human-Computer Interaction · Computer Science 2018-05-01 Kevin Jasberg , Sergej Sizov

This paper extends the work of Clarke [1] on the Bayesian foundations of the biomagnetic inverse problem. It derives expressions for the expectation and variance of the a posteriori source current probability distribution given a prior…

Medical Physics · Physics 2009-10-31 R. Hasson , S. J. Swithenby

The use of a hypothetical generative model was been suggested for causal analysis of observational data. The very assumption of a particular model is a commitment to a certain set of variables and therefore to a certain set of possible…

Artificial Intelligence · Computer Science 2023-06-09 Nimrod Megiddo

Forecasting techniques for assessing the power of future experiments to discriminate between theories or discover new laws of nature are of great interest in many areas of science. In this paper, we introduce a Bayesian forecasting method…

Data Analysis, Statistics and Probability · Physics 2024-09-24 Mohammad Hossein Namjoo

This is an introduction to Bayesian inference with a focus on hierarchical models and hyper-parameters. We write primarily for an audience of Bayesian novices, but we hope to provide useful insights for seasoned veterans as well. Examples…

Instrumentation and Methods for Astrophysics · Physics 2025-05-26 Eric Thrane , Colm Talbot

This paper introduces a novel Bayesian approach to detect changes in the variance of a Gaussian sequence model, focusing on quantifying the uncertainty in the change point locations and providing a scalable algorithm for inference. Such a…

Methodology · Statistics 2025-03-04 Lorenzo Cappello , Oscar Hernan Madrid Padilla

Next-generation ground-based gravitational-wave detectors, such as Cosmic Explorer (CE), are expected to be sensitive to gravitational-wave signals with frequencies as low as 5 Hz, allowing signals to spend a significant amount of time in…

High Energy Astrophysical Phenomena · Physics 2023-08-25 Pratyusava Baral , Soichiro Morisaki , Ignacio Magaña Hernandez , Jolien D. E. Creighton

Graphical models based on Directed Acyclic Graphs (DAGs) are widely used to answer causal questions across a variety of scientific and social disciplines. However, observational data alone cannot distinguish in general between DAGs…

Methodology · Statistics 2022-06-03 Federico Castelletti , Guido Consonni

The next generation of galaxy surveys, aiming to observe millions of galaxies, are expensive both in time and cost. This raises questions regarding the optimal investment of this time and money for future surveys. In a previous work, it was…

Cosmology and Nongalactic Astrophysics · Physics 2015-09-23 P. Paykari , S. Pires , J. -L. Starck , A. H. Jaffe