Estimating the sensitivity of pulsar timing arrays

Abstract

The sensitivity curve of a canonical pulsar timing array is calculated for two types of source: a monochromatic wave and a stochastic background. These calculations are performed in both a Bayesian and frequentist framework, using both analytical and numerical methods. These calculations are used to clarify the interpretation of the sensitivity curves and to illustrate the sometimes overlooked fact that the sensitivity curve depends not only on the properties of the pulse time-of-arrival data set but also on the properties of the source being observed. The Bayesian and frequentist frameworks were found to give consistent results and the analytic and numerical calculations were also found to be in good agreement.

arXiv comment19 pages, 4 figures; version 2 corrects typo in Eq 16

References in corpus (29)

• A Fundamental Relation Between Supermassive Black Holes and Their Host Galaxies
• The Demography of Massive Dark Objects in Galaxy Centres
• MultiNest: an efficient and robust Bayesian inference tool for cosmology and particle physics
• The Relation between Black Hole Mass, Bulge Mass, and Near-Infrared Luminosity
• Multimodal nested sampling: an efficient and robust alternative to MCMC methods for astronomical data analysis
• TEMPO2, a new pulsar timing package. I: Overview
• A Unified Model for the Evolution of Galaxies and Quasars
• Supermassive Black Holes in Galactic Nuclei: Past, Present and Future Research
• Tempo2, a new pulsar timing package. II: The timing model and precision estimates
• Sensitivity curves for searches for gravitational-wave backgrounds
• Gravitational radiation from cosmic (super)strings: bursts, stochastic background, and observational windows
• The stochastic gravitational-wave background from massive black hole binary systems: implications for observations with Pulsar Timing Arrays
• The North American Nanohertz Observatory for Gravitational Waves
• Gravitational Waves Probe the Coalescence Rate of Massive Black Hole Binaries
• Low-Frequency Gravitational Waves from Massive Black Hole Binaries: Predictions for LISA and Pulsar Timing Arrays
• Gravitational waves from resolvable massive black hole binary systems and observations with Pulsar Timing Arrays
• Gravitational-Wave Stochastic Background from Kinks and Cusps on Cosmic Strings
• Ultra-Low Frequency Gravitational Radiation from Massive Black Hole Binaries
• Optimal strategies for gravitational wave stochastic background searches in pulsar timing data
• The stochastic background: scaling laws and time to detection for pulsar timing arrays
• The Parkes Pulsar Timing Array
• Setting upper limits on the strength of periodic gravitational waves using the first science data from the GEO600 and LIGO detectors
• Understanding and analysing time-correlated stochastic signals in pulsar timing
• Astrometric Effects of a Stochastic Gravitational Wave Background
• Hyper-efficient model-independent Bayesian method for the analysis of pulsar timing data
• Bayesian estimation of pulsar parameters from gravitational wave data
• TEMPO2, a new pulsar timing package. III: Gravitational wave simulation
• Relic Gravitational Waves and Cosmology
• Gravitational waves and pulsar timing: stochastic background, individual sources and parameter estimation

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