Bayesian Inference on Gravitational Waves

Asad Ali; Salman Ahmad; Muhammad Nawaz; Saleem Ullah; Muhammad Aqeel

Author(s)

Asad Ali Department of Space Science, Institute of Space Technology Islamabad 44000, Pakistan

Salman Ahmad Department of Mathematics and Statistics,Institute of Space Technology, Islamabad 44000, Pakistan

Muhammad Nawaz Department of Mathematics and Statistics Institute of Space Technology, Islamabad 44000, Pakistan

Saleem Ullah Department of Space Science, Institute of Space Technology Islamabad 44000, Pakistan.

Muhammad Aqeel Department of Mathematics and Statistics Institute of Space Technology, Islamabad 44000, Pakistan.

Abstract

The Bayesian approach is increasingly becoming popular among the astrophysics data analysis communities. However, the Pakistan statistics communities are unaware of this fertile interaction between the two disciplines. Bayesian methods have been in use to address astronomical problems since the very birth of the Bayes probability in eighteenth century. Today the Bayesian methods for the detection and parameter estimation of gravitational waves have solid theoretical grounds with a strong promise for the realistic applications. This article aims to introduce the Pakistan statistics communities to the applications of Bayesian Monte Carlo methods in the analysis of gravitational wave data with an overview of the Bayesian signal detection and estimation methods and demonstration by a couple of simplified examples.

Publication Details

Page(s) 645-665

DOI DOI not available

Published Journal: Pakistan Journal of Statistics and Operation Research, Volume: 11, Issue: 4, Year: 2015

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Keywords

MCMC, Detectors, Gravitational waves, Parameter estimation, Bayes theorem, Signal detection