The DOI matches its Crossref record; 19 of the 19 references it cites were found in a registry or an index.
The skewness of the aperture mass statistic
Open accessAbstract
We present simple formulae for calculating the skewness and kurtosis of the aperture mass statistic for weak lensing surveys, which is insensitive to masking effects of survey geometry or variable survey depth. The calculations are the higher order analogues of the formula given by Schneider, van Waerbeke & Mellier, which has been used to compute the variance of the aperture mass from several lensing surveys. As our formula requires the three-point shear correlation function, we also present an efficient tree-based algorithm for measuring it. We show how our algorithm would scale in computing time and memory usage for future lensing surveys. We also apply the procedure to our Cerro Tololo Inter-American Observatory (CTIO) survey data, originally described by Jarvis et al. We find that the skewness is positive (inconsistent with zero) at the 2σ level. However, the signal is too noisy from this data to usefully constrain cosmology.
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Cites
A new measure for cosmic shear
Schneider, P., Van Waerbeke, L., Jain, B., & Kruse, G. (1998) · Monthly Notices of the Royal Astronomical Society · doi:10.1046/j.1365-8711.1998.01422.x · Cited by 396
Self-citationShear calibration biases in weak-lensing surveys
Hirata, C., & Seljak, U. (2003) · Monthly Notices of the Royal Astronomical Society · doi:10.1046/j.1365-8711.2003.06683.x · Cited by 395
Detection of (dark) matter concentrations via weak gravitational lensing
Schneider, P. (1996) · Monthly Notices of the Royal Astronomical Society · doi:10.1093/mnras/283.3.837 · Cited by 338
Ray‐tracing Simulations of Weak Lensing by Large‐Scale Structure
Jain, B., Seljak, U., & White, S. (2000) · The Astrophysical Journal · doi:10.1086/308384 · Cited by 325
Self-citationCosmological Model Predictions for Weak Lensing: Linear and Nonlinear Regimes
Jain, B., & Seljak, U. (1997) · The Astrophysical Journal · doi:10.1086/304372 · Cited by 317
Self-citationSIMULATIONS OF STRUCTURE FORMATION IN THE UNIVERSE
Bertschinger, E. (1998) · Annual Review of Astronomy and Astrophysics · doi:10.1146/annurev.astro.36.1.599 · Cited by 307
Discriminating Weak Lensing from Intrinsic Spin Correlations Using the Curl‐Gradient Decomposition
Crittenden, R. G., Natarajan, P., Pen, U., & Theuns, T. (2002) · The Astrophysical Journal · doi:10.1086/338838 · Cited by 253
B-modes in cosmic shear from source redshift clustering
Schneider, P., van Waerbeke, L., & Mellier, Y. (2002) · Astronomy & Astrophysics · doi:10.1051/0004-6361:20020626 · Cited by 243
Weak-Lensing Results from the 75 Square Degree Cerro Tololo Inter-American Observatory Survey
Jarvis, M., Bernstein, G. M., Fischer, P., Smith, D., Jain, B., Tyson, J. A., & Wittman, D. (2003) · The Astronomical Journal · doi:10.1086/367799 · Cited by 197
Self-citationConstraints on Ωmand σ8from Weak Lensing in Red‐Sequence Cluster Survey Fields
Hoekstra, H., Yee, H. K. C., & Gladders, M. D. (2002) · The Astrophysical Journal · doi:10.1086/342120 · Cited by 185
Cited by
Dark Energy Survey year 1 results: Cosmological constraints from galaxy clustering and weak lensing
Abbott, T. M. C., Abdalla, F. B., Alarcon, A., Aleksić, J., Allam, S., Allen, S., Amara, A., Annis, J., Asorey, J., Avila, S., et al. (2018) · Physical Review D · doi:10.1103/physrevd.98.043526 · Cited by 1,213
Self-citationDark Energy Survey Year 3 results: Cosmological constraints from galaxy clustering and weak lensing
Abbott, T. M. C., Aguena, M., Alarcon, A., Allam, S., Alves, O., Amon, A., Andrade-Oliveira, F., Annis, J., Avila, S., Bacon, D., et al. (2022) · Physical Review D · doi:10.1103/physrevd.105.023520 · Cited by 1,124
Self-citationEuclid: I. Overview of the Euclid mission
Euclid Collaboration, Mellier, Y., Abdurro’uf, Acevedo Barroso, J. A., Achúcarro, A., Adamek, J., Adam, R., Addison, G. E., Aghanim, N., Aguena, M., et al. (2025) · Astronomy & Astrophysics · doi:10.1051/0004-6361/202450810 · Cited by 616
Self-citationCosmology with cosmic shear observations: a review
Kilbinger, M. (2015) · Reports on Progress in Physics · doi:10.1088/0034-4885/78/8/086901 · Cited by 604
Dark Energy Survey Year 3 results: Cosmology from cosmic shear and robustness to data calibration
Amon, A., Gruen, D., Troxel, M. A., MacCrann, N., Dodelson, S., Choi, A., Doux, C., Secco, L. F., Samuroff, S., Krause, E., et al. (2022) · Physical Review D · doi:10.1103/physrevd.105.023514 · Cited by 437
Self-citation
Metadata
- Authors
- Jarvis, M., Bernstein, G., & Jain, B.
- Venue
- Monthly Notices of the Royal Astronomical Society
- Publisher
- Oxford University Press (OUP)
- Published
- 2004-07
- Volume
- 352
- Issue
- 1
- Pages
- 338-352
- ISSN
- 0035-8711 (ISSN-L)
- 1365-2966
- OpenAlex
- W2070216929
- Cited by
- 326
- References
- 19
- FWCI
- 2.17
- Type
- journal article
- Language
- en
- Open access
- bronze
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