The DOI matches its Crossref record; 1 of the 1 references it cites were found in a registry or an index.
Computing Multivariate Normal Probabilities: A New Look
Overview
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Integrity signals
Registry
Cites
Statistics
Verification
Claims the paper makes
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Claims other papers make about this one
Each is checked against this paper’s own text: does it say what the citing paper says it does?
In the citing paper
“Extensive comparisons amongst the numerous proposals in the literature (Genz and Bretz, 2009;Gassmann et al., 2002;Genz and Bretz, 2002) indicate the method of Genz (1992) is the most accurate across a wide range of test problems of medium and large dimensions.”
From The Normal Law Under Linear Restrictions: Simulation and Estimation via Minimax Tilting (2017) · cites this paper as Gassmann et al., 2002
Self-check
Percentages, sums and reported differences re-computed from the paper’s own numbers.
The self-check needs the paper’s full text.
Citations
Cites
Numerical Computation of Multivariate Normal Probabilities
Genz, A. (1992) · Journal of Computational and Graphical Statistics · doi:10.1080/10618600.1992.10477010 · Cited by 1,020
Research works printed but not linked: 32
- 10.2307/2530960 · DOI
- 10.1145/210232.210234 · DOI
- Böckenholt U., 1992, British Journal of Mathematical and Statistical Psychology, 45, 31, 10.1111/j.2044-8317.1992.tb00976.x · doi:10.1111/j.2044-8317.1992.tb00976.x
- 10.1287/moor.26.1.174.10596 · doi:10.1287/moor.26.1.174.10596
- Bukszr J., 1999, Alkalmazott Matematikai Lapok, 19, 69
- 10.1007/BF01399006 · doi:10.1007/bf01399006
- Dek I., 1990, IIE Transactions.
- 10.1145/362375.362414 · DOI
- 10.1080/00949659008811236 · DOI
- 10.2307/1390838 · DOI
- Genz A., 1993, Computing Science and Statistics, 25, 400
- 10.1214/aoms/1177704004 · DOI
- 10.1016/0304-4076(94)01716-6 · DOI · Paper page
- 10.1016/0047-259X(80)90017-2 · DOI
- 10.1145/363332.363411 · doi:10.1145/363332.363411
- 10.2307/3212481 · doi:10.2307/3212481
- 10.2307/2291331 · doi:10.2307/2291331
- 10.1137/0710068 · doi:10.1137/0710068
- Kendall M.G., 1941, Biometrika, 32, 196
- Korobov N. M., 1959, Doklady Akademii Nauk SSSR, 124, 1207
- Korobov N. M., 1960, Soviet Mathematical Doklady, 1, 696
- 10.1137/0905034 · DOI
- 10.1093/biomet/71.3.531 · DOI
- Prkopa A., 1974, Mathematische Operationsforschung und Statistik, 5, 109, 10.1080/02331887408801151 · doi:10.1080/02331887408801151
- Prkopa A., 1978, Mathematical Programming Study, 9, 138, 10.1007/BFb0120831 · doi:10.1007/bfb0120831
- 10.1016/0041-5553(63)90134-4 · doi:10.1016/0041-5553(63)90134-4
- 10.2307/2347670 · DOI · Paper page
- 10.2307/1390681 · doi:10.2307/1390681
- Szntai T., 1976, Alkalmazott Matematikai Lapok, 2, 27
- 10.1016/0095-8956(86)90044-4 · doi:10.1016/0095-8956(86)90044-4
- 10.1016/0304-4076(95)01792-5 · DOI · Paper page
- 10.1093/biomet/69.2.297 · DOI · Paper page
Cited by
Numerical computation of rectangular bivariate and trivariate normal and t probabilities
Genz, A. (2004) · Statistics and Computing · doi:10.1023/b:stco.0000035304.20635.31 · Cited by 283
The Normal Law Under Linear Restrictions: Simulation and Estimation via Minimax Tilting
Botev, Z. I. (2017) · Journal of the Royal Statistical Society Series B: Statistical Methodology · doi:10.1111/rssb.12162 · Cited by 247
Multivariate Normal Probabilities: Implementing an Old Idea of Plackett's
Gassmann, H. I. (2003) · Journal of Computational and Graphical Statistics · doi:10.1198/1061860032283 · Cited by 11
Self-citation
Metadata
- Authors
- Gassmann, H. I., Deák, I., & Szántai, T.
- Venue
- Journal of Computational and Graphical Statistics
- Publisher
- Informa UK Limited
- Published
- 2002-12
- Volume
- 11
- Issue
- 4
- Pages
- 920-949
- ISSN
- 1061-8600
- 1537-2715
- Cited by
- 34
- References
- 1
- Language
- en
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review
How to cite
Cite CoChat for the checks on this page, and the paper for its own findings.
- This page
- CoChat. (2026). Citation check: Computing Multivariate Normal Probabilities: A New Look. https://app.cochat.ai/papers/10.1198/106186002385
- The paper
- Gassmann, H. I., Deák, I., & Szántai, T. (2002). Computing Multivariate Normal Probabilities: A New Look. Journal of Computational and Graphical Statistics. https://doi.org/10.1198/106186002385
Data sources
Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.