Issues in gravitational wave data analysis

TL;DR

This paper discusses the challenges in gravitational wave data analysis by comparing Bayesian and Frequentist statistical methods for inferring signals and source locations.

Contribution

It provides an analysis of how Bayesian and Frequentist approaches differ in gravitational wave data inference, highlighting their respective strengths and limitations.

Findings

Bayesian methods incorporate prior information effectively.

Frequentist approaches focus on long-term frequency properties.

Both methods have unique advantages depending on the context.

Abstract

Data analysis is the application of probability and statistics to draw inference from observation. Is a signal present or absent? Is the source an inspiraling binary system or a supernova? At what point in the sky is the radiation incident from? In these notes I want to address how two different statistical methodologies --- Bayesian and Frequentist --- approach the problem of statistical inference