Alan Genz

5.7k total citations · 2 hit papers
55 papers, 3.6k citations indexed

About

Alan Genz is a scholar working on Numerical Analysis, Statistics and Probability and Applied Mathematics. According to data from OpenAlex, Alan Genz has authored 55 papers receiving a total of 3.6k indexed citations (citations by other indexed papers that have themselves been cited), including 17 papers in Numerical Analysis, 17 papers in Statistics and Probability and 9 papers in Applied Mathematics. Recurrent topics in Alan Genz's work include Mathematical Approximation and Integration (9 papers), Optimal Experimental Design Methods (7 papers) and Advanced Statistical Methods and Models (6 papers). Alan Genz is often cited by papers focused on Mathematical Approximation and Integration (9 papers), Optimal Experimental Design Methods (7 papers) and Advanced Statistical Methods and Models (6 papers). Alan Genz collaborates with scholars based in United States, United Kingdom and Germany. Alan Genz's co-authors include Frank Bretz, Terje O. Espelid, Avinash Malik, Jarle Berntsen, B. D. Keister, John F. Monahan, Ludwig A. Hothorn, Torsten Hothorn, Tetsuhisa Miwa and Xuefei Mi and has published in prestigious journals such as Journal of the American Statistical Association, Journal of Computational Physics and Methods in enzymology on CD-ROM/Methods in enzymology.

In The Last Decade

Alan Genz

54 papers receiving 3.3k citations

Hit Papers

Numerical Computation of Multivariate Normal Probabilities 1992 2026 2003 2014 1992 2009 200 400 600
What are hit papers?

Hit papers significantly outperform the citation benchmark for their cohort. A paper qualifies if it has ≥500 total citations, achieves ≥1.5× the top-1% citation threshold for papers in the same subfield and year (this is the minimum needed to enter the top 1%, not the average within it), or reaches the top citation threshold in at least one of its specific research topics.

  1. Numerical Computation of Multivariate Normal Probabilities
    1992 659 citations Alan Genz profile →
  2. Computation of Multivariate Normal and t Probabilities
    2009 555 citations Alan Genz, Frank Bretz profile →

Peers — A (Enhanced Table)

Peers by citation overlap · career bar shows stage (early→late) cites · hero ref

Name h Career Trend Papers Cites
Alan Genz United States 24 1.2k 653 574 556 367 55 3.6k
Heinz Neudecker Netherlands 23 1.3k 1.1× 447 0.7× 574 1.0× 209 0.4× 727 2.0× 123 4.4k
A. M. Mathai Canada 29 1.4k 1.2× 268 0.4× 593 1.0× 392 0.7× 245 0.7× 187 6.3k
PE United States 15 1.1k 0.9× 797 1.2× 941 1.6× 288 0.5× 510 1.4× 25 5.4k
M. Johnson United States 28 751 0.6× 1.0k 1.6× 587 1.0× 743 1.3× 943 2.6× 113 5.0k
Richard L. Dykstra United States 22 1.5k 1.3× 484 0.7× 591 1.0× 406 0.7× 299 0.8× 76 3.0k
Michel Loève Canada 9 1.3k 1.1× 935 1.4× 850 1.5× 759 1.4× 518 1.4× 12 5.3k
Bennett L. Fox United States 25 576 0.5× 1.0k 1.6× 567 1.0× 574 1.0× 704 1.9× 69 4.1k
Б. Л. С. Пракаса Рао India 23 1.2k 1.0× 746 1.1× 539 0.9× 202 0.4× 287 0.8× 202 4.3k
George Marsaglia United States 36 802 0.7× 387 0.6× 1.5k 2.6× 284 0.5× 904 2.5× 87 6.3k
C. Radhakrishna Rao United States 38 3.2k 2.7× 1.0k 1.6× 932 1.6× 613 1.1× 533 1.5× 162 7.3k

Countries citing papers authored by Alan Genz

Since Specialization
Citations

This map shows the geographic impact of Alan Genz's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by Alan Genz with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Alan Genz more than expected).

Fields of papers citing papers by Alan Genz

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Alan Genz. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by Alan Genz. The network helps show where Alan Genz may publish in the future.

Co-authorship network of co-authors of Alan Genz

This figure shows the co-authorship network connecting the top 25 collaborators of Alan Genz. A scholar is included among the top collaborators of Alan Genz based on the total number of citations received by their joint publications. Widths of edges represent the number of papers authors have co-authored together. Node borders signify the number of papers an author published with Alan Genz. Alan Genz is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

20 of 20 papers shown
1.
Hothorn, Torsten, Frank Bretz, & Alan Genz. (2016). ON MULTIVARIATE t AND GAUSS PROBABILITIES IN R. 8 Suppl B. 261–261. 7 indexed citations
2.
Genz, Alan, et al.. (2015). On the efficient numerical solution of lattice systems with low-order couplings. Computer Physics Communications. 198. 71–81. 7 indexed citations
3.
Joyce, Paul, Alan Genz, & Erkan O. Buzbas. (2012). Efficient Simulation and Likelihood Methods for Non-Neutral Multi-Allele Models. Journal of Computational Biology. 19(6). 650–661. 3 indexed citations
4.
Genz, Alan, et al.. (2012). The Effect of Fire Risk on the Critical Harvesting Times for Pacific Northwest Douglas-Fir When Carbon Price Is Stochastic. Agricultural and Resource Economics Review. 41(3). 313–326. 2 indexed citations
5.
Genz, Alan, et al.. (2009). Chapter 8 Efficient Computation of Confidence Intervals for Bayesian Model Predictions Based on Multidimensional Parameter Space. Methods in enzymology on CD-ROM/Methods in enzymology. 454. 213–231. 4 indexed citations
6.
Genz, Alan. (2004). Numerical computation of rectangular bivariate and trivariate normal and t probabilities. Statistics and Computing. 14(3). 251–260. 181 indexed citations
7.
Genz, Alan. (2003). Fully symmetric interpolatory rules for multiple integrals over hyper-spherical surfaces. Journal of Computational and Applied Mathematics. 157(1). 187–195. 31 indexed citations
8.
Genz, Alan & Ronald Cools. (2003). An adaptive numerical cubature algorithm for simplices. ACM Transactions on Mathematical Software. 29(3). 297–308. 31 indexed citations
9.
Bretz, Frank, Anthony J. Hayter, & Alan Genz. (2001). Critical point and power calculations for the studentized range test for generally correlated means. Journal of Statistical Computation and Simulation. 71(2). 85–97. 1 indexed citations
10.
Genz, Alan, et al.. (2000). Numerical evaluation of singular multivariate normal distributions. Journal of Statistical Computation and Simulation. 68(1). 1–21. 38 indexed citations
11.
Genz, Alan & John F. Monahan. (1999). A stochastic algorithm for high-dimensional integrals over unbounded regions with Gaussian weight. Journal of Computational and Applied Mathematics. 112(1-2). 71–81. 28 indexed citations
12.
Genz, Alan & Frank Bretz. (1999). Numerical computation of multivariate t -probabilities with application to power calculation of multiple contrasts. Journal of Statistical Computation and Simulation. 63(4). 103–117. 117 indexed citations
13.
Shaw, J.E., Alan Genz, John F. Monahan, et al.. (1996). Comments on: "Methods for approximating integrals in statistics with special emphasis on Bayesian integration problems" by M. Evans and T. Swartz. Statistical Science. 11(1). 5 indexed citations
14.
Genz, Alan & B. D. Keister. (1996). Fully symmetric interpolatory rules for multiple integrals over infinite regions with Gaussian weight. Journal of Computational and Applied Mathematics. 71(2). 299–309. 144 indexed citations
15.
Berntsen, Jarle, Terje O. Espelid, & Alan Genz. (1991). An adaptive algorithm for the approximate calculation of multiple integrals. ACM Transactions on Mathematical Software. 17(4). 437–451. 204 indexed citations
16.
Berntsen, Jarle, Terje O. Espelid, & Alan Genz. (1991). Algorithm 698: DCUHRE. ACM Transactions on Mathematical Software. 17(4). 452–456. 132 indexed citations
17.
Genz, Alan & David K. Kahaner. (1986). The numerical evaluation of certain multivariate normal integrals. Journal of Computational and Applied Mathematics. 16(2). 255–258. 10 indexed citations
18.
Genz, Alan & Avinash Malik. (1980). Remarks on algorithm 006: An adaptive algorithm for numerical integration over an N-dimensional rectangular region. Journal of Computational and Applied Mathematics. 6(4). 295–302. 178 indexed citations
19.
Genz, Alan. (1977). A nonlinear method for the acceleration of the convergence of multidimensional sequences. Journal of Computational and Applied Mathematics. 3(3). 181–184. 2 indexed citations
20.
Genz, Alan. (1972). An adaptive multidimensional quadrature procedure. Computer Physics Communications. 4(1). 11–15. 13 indexed citations

Rankless uses publication and citation data sourced from OpenAlex, an open and comprehensive bibliographic database. While OpenAlex provides broad and valuable coverage of the global research landscape, it—like all bibliographic datasets—has inherent limitations. These include incomplete records, variations in author disambiguation, differences in journal indexing, and delays in data updates. As a result, some metrics and network relationships displayed in Rankless may not fully capture the entirety of a scholar's output or impact.

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