The DOI matches its Crossref record; 27 of the 27 references it cites were found in a registry or an index.
Numerical computation of rectangular bivariate and trivariate normal and t probabilities
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Citations
Cites
Methods of Numerical Integration.
Monahan, J. F., Davis, P. J., & Rabinowitz, P. (1985) · Journal of the American Statistical Association · doi:10.2307/2288607 · Cited by 1,706
The Multivariate Normal Distribution
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The Multivariate Normal Distribution
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Tables for Computing Bivariate Normal Probabilities
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Comparison of Methods for the Computation of Multivariate t Probabilities
Genz, A., & Bretz, F. (2002) · Journal of Computational and Graphical Statistics · doi:10.1198/106186002394 · Cited by 394
Self-citationA BIVARIATE GENERALIZATION OF STUDENT'S t-DISTRIBUTION, WITH TABLES FOR CERTAIN SPECIAL CASES
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A REDUCTION FORMULA FOR NORMAL MULTIVARIATE INTEGRALS
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Research works printed but not linked: 3
- Genz A. 1993. Comparison of methods for the computation of multivariate normal probabilities. Computing Science and Statistics 25: 400-405.
- Sheppard W.F. 1900. On the computation of the double integral expressing normal correlation. Transactions of the Cambridge Philosophical Society 19: 23-69.
- Steen N.M., Byrne G.O., and Gelhard E.M. 1969. Gaussian quadratures. Mathematics of Computation 23: 661-671.
Cited by
Frei, O., Holland, D., Smeland, O. B., Shadrin, A. A., Fan, C. C., Maeland, S., O’Connell, K. S., Wang, Y., Djurovic, S., Thompson, W. K., et al. (2019) · Nature Communications · doi:10.1038/s41467-019-10310-0 · Cited by 421
Denitrification in the Mississippi River network controlled by flow through river bedforms
Gomez-Velez, J. D., Harvey, J. W., Cardenas, M. B., & Kiel, B. (2015) · Nature Geoscience · doi:10.1038/ngeo2567 · Cited by 331
China's land market auctions: evidence of corruption?
Cai, H., Henderson, J. V., & Zhang, Q. (2013) · The RAND Journal of Economics · doi:10.1111/1756-2171.12028 · Cited by 296
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
Maximizing acquisition functions for Bayesian optimizationPreprint
Wilson, J. T., Hutter, F., & Deisenroth, M. P. (2018) · arXiv (Cornell University) · doi:10.48550/arxiv.1805.10196 · Cited by 185
Metadata
- Authors
- Genz, A.
- Affiliations
- Washington State University (US)
- Corresponding author
- Genz, Alan
- Venue
- Statistics and Computing
- Published
- 2004-08
- Volume
- 14
- Issue
- 3
- Pages
- 251-260
- ISSN
- 0960-3174 (ISSN-L)
- 1573-1375
- OpenAlex
- W2071818961
- Cited by
- 283
- References
- 26
- Citations by year
- 2026: 4 · 2025: 7 · 2024: 12 · 2023: 12 · 2022: 12 · 2021: 16 · 2020: 15 · 2019: 10 · 2018: 20 · 2017: 18 · 2016: 17 · 2015: 9 · 2014: 12 · 2013: 21 · 2012: 17
- FWCI
- 8.82
- Type
- journal article
- Language
- en
- Open access
- closed
- Licence
- www.springernature.com/gp/researchers/text-and-data-mining (tdm)
- www.springernature.com/gp/researchers/text-and-data-mining (vor)
- Locations
- Statistics and Computing (publishedVersion)
- Topics
- Physical Sciences › Mathematics › Statistics and Probability › Statistical Distribution Estimation and Applications
- Physical Sciences › Mathematics › Applied Mathematics › Mathematical functions and polynomials
- Physical Sciences › Mathematics › Statistics and Probability › Probability and Statistical Research
- Keywords
- rectangular domain, numerical integration, double precision computation
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- The paper
- Genz, A. (2004). Numerical computation of rectangular bivariate and trivariate normal and t probabilities. Statistics and Computing. https://doi.org/10.1023/b%3Astco.0000035304.20635.31
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.
