KDE Representations of the Gravitational Wave Background Free Spectra Present in the NANOGrav 12.5-Year Dataset

OVERVIEW

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This is a downloadable file of probability densities from KDEs (Kernel Density Estimator) of the CRN free spectrum analysis of the NANOGrav 12.5yr Dataset that can be used with the Ceffyl and PTArcade packages. Please see the GitHub page for Ceffyl/PTArcade installation details and usage information.

Details on how this data product was produced can be found in Lamb, Taylor & van Haasteren 2023 (DOI 10.1103/PhysRevD.108.103019).

DIRECTORY AND FILE STRUCTURE

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The directory `ng12p5_ceffyl` contains a file with log-pdfs representing their corresponding free spectra (`density.npy`), the frequencies at which they were analysed (`freqs.npy`), the grid-points at which each log-pdf was computed (`log10rhogrid.npy`), frequency labels (`log10rholabels.txt`), analysis label (`pulsar_list.txt`), an array of bandwidths computed using the Sheather-Jones method (see Lamb et al. 2023; 'bandwidths.npy'), and a file with some metadata about the data (`log.txt`).

Note: there are two copies of `ng12p5_ceffyl` in here by accident! Both are correct versions.

The free spectrum was ran with a 30 frequency common uncorrelated free spectrum model (CRN FS) and a 30 frequency intrinsic red noise. The free spectrum can be found here.

SOFTWARE

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This data should ideally be used with the latest versions of:

• ceffyl (https://github.com/astrolamb/ceffyl)
• PTArcade (https://github.com/andrea-mitridate/PTArcade)

PLANNED REVISIONS

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None

CHANGE LOG

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16/01/2024 - updated KDE representations

A bug was found that produced a poor reflection at the lower prior boundary. Hence, data was being represented well at the lower prior boundary. This has now been corrected.