A PTA likelihood expressed in terms of low-order spherical harmonics of the Earth term and pulsar-term variance retains roughly 95% of the information about a stochastic background, and ell_max=3 plus the pulsar-term dipole retains at least 90% for point sources.
Towards a unified treatment of gravitational-wave data analysis
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abstract
We present a unified description of gravitational-wave data analysis that unites the template-based analysis used to detect deterministic signals from well-modeled sources, such as binary-black-hole mergers, with the cross-correlation analysis used to detect stochastic gravitational-wave backgrounds. We also discuss the connection between template-based analyses and those that target poorly-modeled bursts of gravitational waves, and suggest a new approach for detecting burst signals.
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Summary statistic for pulsar timing arrays
A PTA likelihood expressed in terms of low-order spherical harmonics of the Earth term and pulsar-term variance retains roughly 95% of the information about a stochastic background, and ell_max=3 plus the pulsar-term dipole retains at least 90% for point sources.