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Table 1.
Glossary of symbols and conventions used throughout this paper.
| Symbol | Signification |
|---|---|
| Θmodel | Variables governing the population of clusters, e.g. cosmological parameters, or (M500, z) |
| Θsel | Variables describing the selection of clusters, e.g. count-rate |
| Θmeas | Variables describing measurement associated to clusters, e.g. measured flux |
| Icatalogue | Boolean (a) random variable indicating the presence of a cluster in a catalogue, e.g. I = 1 |
| IeRASS1 | A source appears in the X-ray source detection list, it is detected |
| Imain | A source is detected and classified as extended in the eRASS1 primary cluster catalogue (ℒext > 3) |
| Icosmo | A source is detected and classified as extended in the eRASS1 cosmology catalogue (ℒext > 6) |
| LX | True cluster rest-frame 0.5–2 keV luminosity integrated in a cylinder of radius R500 |
| z | True cosmological redshift of a cluster (no peculiar motion) |
| fX | True, noiseless absorbed 0.5–2 keV flux of a cluster within an aperture of radius R500 |
| CR | True, noiseless unabsorbed 0.2–2.3 keV count-rate of a cluster within R500 aperture |
| Texp | Local exposure time in the eRASS1 survey |
| NH | Hydrogen column density along the line-of-sight direction |
| bkg | Local background surface brightness in the eRASS1 survey in the 0.3–2.3 keV band |
| ℋ | Abridged notation for (NH, Texp, bkg) |
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