Berthold Heiligers

411 total citations
25 papers, 271 citations indexed

About

Berthold Heiligers is a scholar working on Management Science and Operations Research, Computational Theory and Mathematics and Industrial and Manufacturing Engineering. According to data from OpenAlex, Berthold Heiligers has authored 25 papers receiving a total of 271 indexed citations (citations by other indexed papers that have themselves been cited), including 21 papers in Management Science and Operations Research, 10 papers in Computational Theory and Mathematics and 6 papers in Industrial and Manufacturing Engineering. Recurrent topics in Berthold Heiligers's work include Optimal Experimental Design Methods (21 papers), Advanced Multi-Objective Optimization Algorithms (8 papers) and Manufacturing Process and Optimization (5 papers). Berthold Heiligers is often cited by papers focused on Optimal Experimental Design Methods (21 papers), Advanced Multi-Objective Optimization Algorithms (8 papers) and Manufacturing Process and Optimization (5 papers). Berthold Heiligers collaborates with scholars based in Germany, United States and India. Berthold Heiligers's co-authors include Norbert Gaffke, Nripes Kumar Mandal, Friedrich Pukelsheim, Norman R. Draper, Augustyn Markiewicz, К. R. Schneider, Albrecht Bertram, Thomas Böhlke, Holger Dette and W. J. Studden and has published in prestigious journals such as The Annals of Statistics, Linear Algebra and its Applications and Journal of Statistical Planning and Inference.

In The Last Decade

Berthold Heiligers

25 papers receiving 238 citations

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Berthold Heiligers Germany 11 203 136 70 68 50 25 271
Lyudmila N. Polyakova Russia 6 16 0.1× 122 0.9× 11 0.2× 4 0.1× 13 0.3× 24 174
Jiayong Le United States 11 26 0.1× 40 0.3× 85 1.2× 4 0.1× 4 0.1× 15 498
Bernd Luderer Germany 8 16 0.1× 94 0.7× 4 0.1× 3 0.0× 32 161
R. N. Kaul India 8 13 0.1× 313 2.3× 2 0.0× 8 0.1× 6 0.1× 25 346
Éric Noulard France 8 21 0.1× 59 0.4× 5 0.1× 1 0.0× 5 0.1× 13 163
H. Mukai United States 8 11 0.1× 17 0.1× 12 0.2× 2 0.0× 4 0.1× 24 329
Elisabeth Rakus-Andersson Sweden 6 63 0.3× 21 0.2× 2 0.0× 44 0.6× 2 0.0× 40 129
A.Ya. Dubovitskii Russia 6 10 0.0× 135 1.0× 1 0.0× 14 0.2× 8 0.2× 10 256
Praveen Ghanta United States 9 20 0.1× 32 0.2× 126 1.8× 3 0.1× 13 328
Cédric Josz United States 7 10 0.0× 50 0.4× 25 0.4× 3 0.0× 24 282

Countries citing papers authored by Berthold Heiligers

Since Specialization
Citations

This map shows the geographic impact of Berthold Heiligers'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 Berthold Heiligers with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Berthold Heiligers more than expected).

Fields of papers citing papers by Berthold Heiligers

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Berthold Heiligers. 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 Berthold Heiligers. The network helps show where Berthold Heiligers may publish in the future.

Co-authorship network of co-authors of Berthold Heiligers

This figure shows the co-authorship network connecting the top 25 collaborators of Berthold Heiligers. A scholar is included among the top collaborators of Berthold Heiligers 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 Berthold Heiligers. Berthold Heiligers 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.
Gaffke, Norbert, et al.. (2002). Isotropic discrete orientation distributions on the 3D special orthogonal group. Linear Algebra and its Applications. 354(1-3). 119–139. 1 indexed citations
2.
Heiligers, Berthold. (2002). Totally positive regression: E-optimal designs. Metrika. 54(3). 191–213. 1 indexed citations
3.
Draper, Norman R., Berthold Heiligers, & Friedrich Pukelsheim. (2000). Kiefer ordering of simplex designs for second-degree mixture models with four or more ingredients. The Annals of Statistics. 28(2). 19 indexed citations
4.
Bertram, Albrecht, et al.. (2000). . Journal of Elasticity. 58(3). 233–248. 15 indexed citations
5.
Gaffke, Norbert & Berthold Heiligers. (1998). Minimum support invariant designs for multiple cubic regression. Journal of Statistical Planning and Inference. 72(1-2). 229–245. 4 indexed citations
6.
Heiligers, Berthold. (1998). E-optimal designs for polynomial spline regression. Journal of Statistical Planning and Inference. 75(1). 159–172. 10 indexed citations
7.
Gaffke, Norbert & Berthold Heiligers. (1996). Second order methods for solving extremum problems form optimal linar regression design. Optimization. 36(1). 41–57. 4 indexed citations
8.
Heiligers, Berthold, et al.. (1996). E-optimal designs for polynomial regression without intercept. Journal of Statistical Planning and Inference. 55(3). 371–387. 35 indexed citations
9.
Draper, Norman R., Berthold Heiligers, & Friedrich Pukelsheim. (1996). On optimal third order rotatable designs. Annals of the Institute of Statistical Mathematics. 48(2). 395–402. 3 indexed citations
10.
Gaffke, Norbert & Berthold Heiligers. (1995). Computing optimal approximate invariant designs for cubic regression on multidimensional balls and cubes. Journal of Statistical Planning and Inference. 47(3). 347–376. 11 indexed citations
11.
Dette, Holger, Berthold Heiligers, & W. J. Studden. (1995). Minimax Designs in Linear Regression Models. The Annals of Statistics. 23(1). 9 indexed citations
12.
Gaffke, Norbert & Berthold Heiligers. (1995). Algorithms for optimal design with application to multiple polynomial regression. Metrika. 42(1). 173–190. 14 indexed citations
13.
Heiligers, Berthold. (1994). Totally nonnegative moment matrices. Linear Algebra and its Applications. 199. 213–227. 6 indexed citations
14.
Heiligers, Berthold. (1994). $E$-Optimal Designs in Weighted Polynomial Regression. The Annals of Statistics. 22(2). 18 indexed citations
15.
Heiligers, Berthold. (1993). Linear Bayes and minimax estimation in linear models with partially restricted parameter space. Journal of Statistical Planning and Inference. 36(2-3). 175–183. 10 indexed citations
16.
Mandal, Nripes Kumar & Berthold Heiligers. (1992). Minimax designs for estimating the optimum point in a quadratic response surface. Journal of Statistical Planning and Inference. 31(2). 235–244. 19 indexed citations
17.
Heiligers, Berthold. (1992). Admissible experimental designs in multiple polynomial regression. Journal of Statistical Planning and Inference. 31(2). 219–233. 14 indexed citations
18.
Gaffke, Norbert & Berthold Heiligers. (1991). Note on a paper. Statistics. 22(1). 3–8. 5 indexed citations
19.
Heiligers, Berthold. (1991). Admissibility of experimental designs in linear regression with constant term. Journal of Statistical Planning and Inference. 28(1). 107–123. 6 indexed citations
20.
Gaffke, Norbert & Berthold Heiligers. (1989). Bayes, Admissible, and Minimax Linear Estimators in Linear Models with Restricted Parameter Space. Statistics. 20(4). 487–508. 27 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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