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Power Spectral Density Uncertainty and Gravitational-Wave Parameter Estimation

Institute for Pure & Applied Mathematics (IPAM) via YouTube

Overview

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Explore the impact of power spectral density uncertainty on gravitational-wave parameter estimation in this 46-minute conference talk. Delve into techniques for estimating power spectral density, methods for incorporating uncertainty into parameter estimation frameworks, and the potential systematic biases that can arise when ignoring this uncertainty. Examine the offsource and onsource methods, alternative parametrizations, and approaches like marginalization and important sampling. Gain insights into the context of power spectral density uncertainty within other sources of systematic error in gravitational wave astronomy. Understand the implications for characterizing compact binary coalescences and combining multiple gravitational wave events.

Syllabus

Intro
Noise
Residual
Offsource Method
Normalized Periodogram
Median
Onsource
Uncertainty
Alternative parametrization
Marginalization
Student Rayleigh Distribution
Onsource Method
Caveats
Important Sampling
Hybrid Approach
Alternative Approaches
Bayesian Parameter Estimation
Summarize

Taught by

Institute for Pure & Applied Mathematics (IPAM)

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