Open Access
Table 1.
Symbols used in this work.
| Symbol | Meaning |
|---|---|
| Nd | Number of objects in the data catalog |
| Nr | Number of objects in the random catalog |
| M | Ratio M = Nr/Nd, split factor |
| Ma | Reduced random catalog size |
| N | Number of realizations |
| ξ(r) | True two-point correlation function |
 |
Estimate of the correlation function |
| r | Generalized (1D,2D, 3D) bin |
| C | True covariance |
 |
Estimated covariance |
 |
Numerical covariance of x, y |
 |
Reference covariance |
 |
Covariance normalized to diagonal = 1 |
| A, B | Component matrices of the LC method |
 |
Estimates of the component matrices |
 |
Covariance estimates for M = Ma and M = 2Ma |
 |
Combination A + B/(2Ma) and its estimate |
 |
Sample covariance |
 |
LC covariance |
| β | Linearized data model |
| F | βTC−1β, inverse parameter covariance |
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