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Helmut Finner


 

Publications

Finner, H., & Roters, M. (2024).
On positive association of absolute-valued and squared multivariate Gaussians beyond MTP2.
Journal of Multivariate Analysis 202, Article Id 105295.

Finner, H. & Roters, M. (2022). 

One-two dependence and probability inequalities between one-and two-sided union-intersection tests. 

Biometrical Journal 64(2), 361–376.

 

Finner, H., Tang, S. Y., Cui, X., & Hsu, J. C. (2021).
Partitioning for confidence sets, confident directions, and decision paths.
In: Cui, X., Dickhaus,T., Ding, Y., Hsu, J. C. (Eds.). Handbook of Multiple Comparisons, Chapman & Hall/CRC, pp. 57-90.

 

Finner, H. & Gontscharuk, V. (2018).
Two-sample Kolmogorov-Smirnov type tests revisited: Old and new tests in terms of local levels.

The Annals of Statistics 46(6A), 3014-3037. (pdf)


 

Supplements:

 

Finner, H. & Gontscharuk, V. (2018).
Supplement A to “Two-sample Kolmogorov-Smirnov type tests
revisited: Old and new tests in terms of local levels”: 

  Proofs and computation of global levels. (pdf)
  Available at https://projecteuclid.org/euclid.aos/1536307241#supplemental.

 

Finner, H. & Gontscharuk, V. (2018).

Supplement B to “Two-sample Kolmogorov-Smirnov type tests revisited: Old and new tests in terms of local levels”:

Animated graphics of local levels. (pdf)
Available at https://projecteuclid.org/euclid.aos/1536307241#supplemental.

 

Gontscharuk, V. & Finner, H. (2018).
On the asymptotics of a normal beta-transformed empirical process.
Journal of Statistical Planning and Inference 193, 103-108.

Lynch, G., Guo W., Sarkar, S.K. & Finner, H. (2017).
The control of the false discovery rate in fixed sequence multiple testing.
Electronic Journal of Statistics 11(2), 4649–4673.
 

Finner, H., Roters, M. & Strassburger, K. (2017).
On the Simes test under dependence.

Statistical Papers 58(3), 775-789.

 

Gontscharuk, V. & Finner, H. (2017).
Asymptotics of goodness-of-fit tests based on minimum p-value statistics.

Communications in Statistics – Theory and Methods 46(5), 2332-2342.

 

Gontscharuk, V., Landwehr, S. & Finner, H. (2016).
Goodness of fit tests in terms of local levels with special emphasis on higher criticism tests.

Bernoulli 22(3), 1331–1363.

 

Dickhaus, T. & Finner, H. (2016). Asymptotic density crossing points of self-normalized sums and normal.
In: Forging Connections between Computational Mathematics and Computational Geometry,

Papers from the 3rd International Conference on Computational Mathematics

and Computational Geometry (Eds.: Chen, K., Ravindran, A.).
Springer Proceedings in Mathematics & Statistics 124, 199-210.

 

Knebel, B., Strassburger, K., Szendroedi, J., Kotzka J., Scheer, M., Nowotny, B., Müssig, K., Lehr, S., Pacini, G., Finner, H.,

Klüppelholz, B., Giani, G., Al-Hasani, H. & Michael Roden, M. for the German Diabetes Study Group (2016).

Specific metabolic profiles and their relationship to insulin resistance in recent-onset type 1 and type 2 diabetes.

The Journal of Clinical Endocrinology & Metabolism 101(5), 2130–2140.

 

Finner,H., Kern, P. & Scheer, M. (2015).
On some compound distributions with Borel summands.
Insurance: Mathematics and Economics 62, 234–244.

 
Gontscharuk, V., Landwehr, S. & Finner, H. (2015).
The intermediates take it all: Asymptotics of higher criticism statistics and a powerful alternative based on equal local levels.
Biometrical Journal 57(1), 159–180.

 

Gontscharuk, V. & Finner, H. (2013).
Asymptotic FDR control under weak dependence: A counterexample.
Statistics and Probability Letters 83(8), 1888–1893.

Sarkar S.K., Guo W. & Finner H. (2012).
On adaptive procedures controlling the familywise error rate.
Journal of Statistical Planning and Inference 142(1), 65-78.

Finner, H., Gontscharuk, V. & Dickhaus, T. (2012).
False discovery rate control of step-up-down tests with special emphasis on the asymptotically optimal rejections curve.
Scandinavian Journal of  Statistics 39(2), 382-397.

Finner, H. & Dickhaus, T. (2010).
Edgeworth expansions and rates of convergence for normalized sums: Chung's 1946 method revisited.
Statistics and Probability Letters 80(23-24), 1875-1880.

Finner, H.,  Strassburger, K. Heid, I. M., Herder, C., Rathmann, W., Giani, G., Dickhaus, T., Lichtner, P., Meitinger, T., Wichmann, H.-E., Illig, T. & Gieger, C. (2010).

How to link call rate and p-values for Hardy–Weinberg equilibrium as measures of genome-wide SNP data quality.
Statistics in Medicine 29(22), 2347–2358

Finner, H. & Gontscharuk, V. (2009).
Controlling the familywise error rate with plug-in estimator for the proportion of true null hypotheses.
Journal of the Royal Statistical Society B 71(5), 1031–1048.

Finner, H., Dickhaus, T. & Roters, M. (2009).
On the false discovery rate and an asymptotically optimal rejection curve.
The Annals of Statistics 37(2), 596–618. (pdf)

Finner, H. & Straßburger, K. (2008).
Letter to the Editor, Rejoinder to Berger, V. W. (2008,
Biometrical Journal 50(6), 1093–1095).
Biometrical Journal 50(6), 1096-1097.

Finner, H., Dickhaus, T. & Roters, M. (2008).
Asymptotic tail properties of Student’s t-distribution.
Communications in Statistics – Theory and Methods 37(2), 175-179.

 

Herder, C., Rathmann, W., Straßburger, K., Finner, H., Grallert, H., Huth,C., Meisinger, C., Gieger, C.,
Martin, S., Giani,G., Scherbaum, W. A., Wichmann, H.-E., Illig, T. (2008).
Variants of the PPARG, IGF2BP2, CDKAL1, HHEX, and TCF7L2 genes confer risk of

type 2 diabetes independently of BMI in the german KORA studies.
Hormone and Metabolic Research 40, 722-726.
DOI: 10.1055/s-2008-1078730.

Finner, H., Dickhaus, T. & Roters, M. (2007).
Dependency and false discovery rate: Asymptotics.
The Annals of Statistics 35(4), 1432-1455. (pdf)

Finner, H., Roters, M. & Dickhaus, T. (2007).
Characterizing density crossing points.
The American Statistician 61(1), 28 - 33.
Extended online version available. (
pdf)

Finner, H. & Strassburger, K. (2007).
A note on p-values for two-sided tests.
Biometrical Journal 49(6), 941-943.

Finner, H. & Strassburger, K. (2007).
Step-up related simultaneous confidence intervals for MCC and MCB.
Biometrical Journal 49(1), 40-51.

Strassburger, K., Bretz, F. & Finner, H. (2007).
Ordered multiple comparisons with the best and their applications in dose-response studies.
Biometrics 63(4), 1143-1151.
Supplementary Web Material (refereed and copyrighted).

Finner, H. & Strassburger, K. (2006).
On delta-equivalence with the best in k-sample models.
Journal of the American Statistical Association 101(474), 737-746.

Finner, H., Giani, G. & Strassburger, K. (2006).
Partitioning principle and selection of good populations.
Journal of Statistical Planning and Inference 136(7), 2053-2069.

Sarkar, S. K., Sen, P. & Finner, H. (2004).
Improving two results in multiple testing.
In: Recent Developments in Multiple Comparisons Procedures. (Eds.: Benjamini, Y., Bretz, F., Sarkar, S.).
IMS Lecture Notes-Monograph Series 47, 89-99.

Finner, H. & Roters, M. (2002).
Multiple hypotheses testing and expected type I errors.
The Annals of Statistics 30(1), 220-238.

Finner, H. & Strassburger, K. (2002). 
The partitioning principle: A powerful tool in multiple decision theory. 
The Annals of Statistics 30(4), 1194 -1213.

Finner, H. & Strassburger, K. (2002). 
Structural properties of UMPU-tests for 2x2-tables and some applications.
Journal of Statistical Planning and Inference 104(1), 103-120.

Finner, H. & Giani, G. (2001).
Least favorable parameter configurations for a step-down subset selection procedure.
Biometrical Journal 43(5), 543-552.

Finner, H. & Roters, M. (2001). 
On the false discovery rate and expected type I errors.
Biometrical Journal 43(8), 985-1005.

Finner, H. & Roters, M. (2001).
Asymptotic sharpness of product-type inequalities for maxima of random variables with applications in multiple comparisons.
Journal of Statistical Planning and Inference 98(1-2), 39-56.

Finner, H. & Roters, M. (2001).
On a matrix representation lemma useful in determining maximal invariance groups.
Journal of Multivariate Analysis 76(1), 153-157.

Finner, H. & Strassburger, K. (2001). 
UMP(U)-tests for a binomial parameter: A paradox.
Biometrical Journal 43(6), 667-675.

Finner, H. & Strassburger, K. (2001). 
Increasing sample sizes do not necessarily increase the power of UMPU-tests
for 2x2-tables.
Metrika 54(1), 77-91.

Finner, H. & Roters, M. (2000). 
On the critical value behaviour of multiple decision procedures. 
Scandinavian Journal of Statistics 27(3), 563-573.

Finner, H. (1999). 
Stepwise multiple test procedures and control of directional errors. 
The Annals of Statistics 27(1), 274-289.

Finner, H. & Roters, M. (1999). 
Asymptotic comparison of the critical values of step-down and step-up multiple comparison procedures. 
Journal of Statistical Planning and Inference 79(1), 11-30. 

Finner, H. & Roters, M. (1998). 
Asymptotic comparison of step-down and step-up multiple test procedures based on
exchangeable test statistics. 
The Annals of Statistics 26(2), 505-524.

Finner, H. & Roters, M. (1997). 
Log-concavity and inequalities for Chi-square, F and Beta distributions with applications in multiple comparisons. 
Statistica Sinica 7(3), 771-787.

Finner, H. & Giani, G. (1996). 
Duality between multiple testing and selecting. 
Invited paper for `40 Years of Statistical Selection Theory' (Eds.: Miescke, K. J. and 
Rasch, D.), in:
Journal of Statistical Planning and Inference 54(2), 201-227.

Finner, H. (1994).
Two-sided tests and one-sided confidence bounds. 
The Annals of Statistics 22(3), 1502-1516.

Finner, H. & Roters, M. (1994). 
On the limit behaviour of the joint distribution function of order statistics. 
The Annals of the Institute of Statistical Mathematics 46(2), 343-349.

Finner, H. & Giani, G. (1994). 
Closed subset selection procedures for selecting good populations. 
Journal of Statistical Planning and Inference 38(2), 179-200.

Finner, H. (1993). 
On a monotonicity problem in step down multiple test procedures.
Journal of the American Statistical Association 88(423), 920-923.

Finner, H. & Roters, M. (1993). 
Power considerations and LFC-results with respect to
Φt-restrictions in k-variate location models. 
Statistics & Decisions 11(2), 151-166.

Finner, H. & Roters, M. (1993). 
On the behaviour of expectations and power functions in one-parameter exponential families. 
Statistics & Decisions 11(3), 237-249.

Finner, H. & Roters, M. (1993). 
Distribution functions and log-concavity. 
Communications in Statistics - Theory and Methods 22(8), 2381-2396.

Finner, H. (1992). 
A generalization of Hölder's inequality and some probability inequalities. 
The Annals of Probability 20(4), 1893-1901.

Giani, G. & Finner, H. (1991). 
Some general results on least favourable parameter configurations with special reference to equivalence testing and the range statistic. 
Journal of Statistical Planning and Inference 28(1), 33-47.

Finner, H. (1990). 
Some new inequalities for the range distribution; with application to the determination of optimum significance levels of multiple range tests. 
Journal of the American Statistical Association 85(409), 191-194.

Finner, H. (1990). 
On the modified S-method and directional errors. 
Communications in Statistics - Theory and Methods 19(1), 41-53.

Finner, H., Kunert, J. & Sonnemann, E. (1989). 
Über die Berechnung des Wirkungsgrades von Pflanzenschutzmitteln
(On the calculation of the effectiveness of an insecticide). 
Nachrichtenblatt Deutscher Pflanzenschutzdienst 41(8/9), 145-149.

Finner, H. (1988). 
Abgeschlossene multiple Spannweitentests. 
In:
Bauer, P. et al. (Eds.): Multiple Hypothesenprüfung. Springer, Berlin, 10-32.

Finner, H. (1988). 
Multiple Tests und Fehler III. Art. 
In:
Bauer, P. et al. (Eds.): Multiple Hypothesenprüfung. Springer, Berlin, 144-153.

Sonnemann, E. & Finner, H. (1988). 
Vollständigkeitssätze für multiple Testprobleme. 
In: Bauer, P. et al. (Eds.): Multiple Hypothesenprüfung. Springer, Berlin, 121-135.
 
   
 

Theses:

Finner, H. (1983). 
Optimale Versuchsplanung in Blockmodellen mit einem Störfaktor. 
Diplomarbeit, RWTH Aachen. Gutachter: Prof. O. Krafft.

Finner, H. (1988). 
Multiple Spannweitentests. 
Dissertation. Universität Trier, FB IV Mathematik.
Gutachter: Prof. E. Sonnemann, Prof. H. Riedwyl.

Finner, H. (1994). 
Testing Multiple Hypotheses: General Theory, Specific Problems,
and Relationships to Other Multiple Decision Procedures. 
Habilitationsschrift. Universität Trier,
FB IV Mathematik/Statistik. 
Gutachter:  Prof. S. Holm, Prof. W. Sendler, Prof. E. Sonnemann.
 
 

Others:

Sonnemann, E. (2008). General Solutions to Multiple Testing Problems.
Biometrical Journal 50(5), 641-656.
Translation with minor corrections of the original article
Sonnemann, E. (1982).
Allgemeine Lösungen multipler Testprobleme.
EDV in Medizin und Biologie 13(4), 120–128
”. Translated by Helmut Finner.

Finner, H. (2008).
Preface to the Translation of Eckart Sonnemann's 1982 Paper on General Solutions to Multiple Testing Problems.
Biometrical Journal, 50(5), 640.

Finner, H. (2008).
Eulogy to Eckart Sonnemann (1940-2007).
Biometrical Journal 50(5), 638-639.

Finner, H., Roters, M. & Dickhaus, T. (2006).
Characterizing Density Crossing Points.
Extended online version of
"Finner, H., Roters, M. & Dickhaus, T. (2007). Characterizing density crossing points. The American Statistician 61, 28 - 33."
Available at
www.helmut-finner.de/ Density Crossing Points.pdf.

Finner, H. & Roters, M. (1995). 
Log-concavity and inequalities for Chi-square, F and Beta distributions with applications in multiple comparisons. 
Technical Report Nr. 96-18, pp. 18,
Universität Trier, FB IV Mathematik.

Finner, H., Hayter, A.J. & Roters, M. (1993). 
On the joint distribution of order statistics with reference to step-up multiple test procedures. 
Technical Report Nr. 93-19, pp. 11,
Universität Trier, FB IV Mathematik.

Roters, M. & Finner, H. (1993). 
On the behaviour of expectations and power functions in one-parameter exponential families. 
8th European Young Statisticians Meeting, Conference Proceedings,
Palanga, September 5-12, 1993. 
Publishing House LOTUS, 112-116.

Finner, H. & Roters, M. (1992). 
LFC-results for tests in k-variate location models. 
In: Gritzmann, P. et al. (Eds.): Operations Research '91:
Extended Abstracts of the 16th Symposium on Operations Research
held at the University of Trier at September 9-11, 1991.
Physica-Verlag, Heidelberg, 317-319. DOI: 978-3-642-48417-9_87.

Giani, G. & Finner, H. (1990). 
Stichprobenkalkulation für mehrarmige Bioverfügbarkeitsstudien. 
In: Biometrie und Informatik - neue Wege zur Erkenntnisgewinnung
in der Medizin; Aachen, September 1989; Proceedings/G. Giani; R. Repges (Eds.). 
Springer, Berlin, 91-94.
DOI: 978-3-642-48167-3_17.
 
 

Courses, Projects, Reports, Software:

Finner, H., Giani, G. & Dickhaus, T. (2005).
Neue multiple Verfahren zur Kontrolle der “False Discovery Rate”.
DFG-Forschungsvorhaben, Beginn: Juni 2005.

Giani, G., Finner, H., Rathmann, W. & Rosenbauer, J. (2004).
Epidemiologie und Public Health des Diabetes mellitus in Deutschland: Forschung am Institut für Biometrie und Epidemiologie des Deutschen Diabetes-Zentrums.
In: Jahrbuch der Heinrich-Heine-Universität Düsseldorf 2004.

Finner, H., Giani, G. & Strassburger, K. (2003). 
Neue Prinzipien zur Konstruktion verbesserter multipler Verfahren für das 
Aufdecken klinisch relevanter $\delta$-Unterschiede. 
Abschlussbericht des gleichnamigen DFG-Forschungsvorhabens (Nov. 1998 - März. 2003).

Finner, H., Giani, G. & Strassburger, K. (1999). 
Partitionsverfahren bei Many-One-Vergleichen zur Planung und Auswertung medizinischer Studien. 
Abschlussbericht des gleichnamigen DFG-Forschungsvorhabens (Nov. 1997 - Nov. 1998).

Sonnemann, E., Finner, H. & Kunert, J. (1991). 
Untersuchungen zur optimalen Stichprobengrösse bei Versuchen zur Wirksamkeit von Pflanzenschutzmitteln gegen Rebenperonospora,Oidium, Roten Brenner und Traubenbotrytis. 
Abschlussbericht eines Projekts in Zusammenarbeit mit dem
Institut für Pflanzenschutz im Weinbau der Biologischen Bundesanstalt in Bernkastel-Kues.

Sonnemann, E., Finner, H. & Kunert, J. (1987). 
Überprüfung von Pflanzenschutzmitteln im Weinbau. 
Abschlussbericht eines Projekts in Zusammenarbeit mit dem 
Institut für Pflanzenschutz im Weinbau der Biologischen Bundesanstalt in Bernkastel-Kues.

Sonnemann, E., Finner, H., Kunert, J., Jennen-Steinmetz, Ch. & Gasser, Th. (1986). 
Analyse von Verlaufskurven. 
Erweiterte ausgearbeitete Kursunterlagen. Universität Trier.

Giani, G., Strassburger, K., Finner, H. & Seefeldt, F. 
SEPARATE
: SElecting, PARtitioning And TEsting -- A Program Package for Multiple Comparisons.