TY  - JOUR
A1  - Gaigall, Daniel
T1  - On a new approach to the multi-sample goodness-of-fit problem
JF  - Communications in Statistics - Simulation and Computation
N2  - Suppose we have k samples X₁,₁,…,X₁,ₙ₁,…,Xₖ,₁,…,Xₖ,ₙₖ with different sample sizes ₙ₁,…,ₙₖ and unknown underlying distribution functions F₁,…,Fₖ as observations plus k families of distribution functions {G₁(⋅,ϑ);ϑ∈Θ},…,{Gₖ(⋅,ϑ);ϑ∈Θ}, each indexed by elements ϑ from the same parameter set Θ, we consider the new goodness-of-fit problem whether or not (F₁,…,Fₖ) belongs to the parametric family {(G₁(⋅,ϑ),…,Gₖ(⋅,ϑ));ϑ∈Θ}. New test statistics are presented and a parametric bootstrap procedure for the approximation of the unknown null distributions is discussed. Under regularity assumptions, it is proved that the approximation works asymptotically, and the limiting distributions of the test statistics in the null hypothesis case are determined. Simulation studies investigate the quality of the new approach for small and moderate sample sizes. Applications to real-data sets illustrate how the idea can be used for verifying model assumptions.
KW  - Goodness-of-fit test
KW  - Multi-sample problem
KW  - Parametric bootstrap
Y1  - 2019
U6  - http://dx.doi.org/10.1080/03610918.2019.1618472
SN  - 1532-4141
VL  - 53
IS  - 10
SP  - 2971
EP  - 2989
PB  - Taylor & Francis
CY  - London
ER  - 
TY  - THES
A1  - Gaigall, Daniel
T1  - On selected problems in multivariate analysis
N2  - Selected problems in the field of multivariate statistical analysis are treated. Thereby, one focus is on the paired sample case. Among other things, statistical testing problems of marginal homogeneity are under consideration. In detail, properties of Hotelling‘s T² test in a special parametric situation are obtained. Moreover, the nonparametric problem of marginal homogeneity is discussed on the basis of possibly incomplete data. In the bivariate data case, properties of the Hoeffding-Blum-Kiefer-Rosenblatt independence test statistic on the basis of partly not identically distributed data are investigated. Similar testing problems are treated within the scope of the application of a result for the empirical process of the concomitants for partly categorial data. Furthermore, testing changes in the modeled solvency capital requirement of an insurance company by means of a paired sample from an internal risk model is discussed. Beyond the paired sample case, a new asymptotic relative efficiency concept based on the expected volumes of multidimensional confidence regions is introduced. Besides, a new approach for the treatment of the multi-sample goodness-of-fit problem is presented. Finally, a consistent test for the treatment of the goodness-of-fit problem is developed for the background of huge or infinite dimensional data.
KW  - Paired sample
KW  - Marginal homogeneity
KW  - Incomplete data
KW  - Asymptotic relative efficiency
KW  - Volumes of confidence regions
Y1  - 2023
U6  - http://dx.doi.org/10.15488/14304
N1  - Gottfried Wilhelm Leibniz Universität Hannover
ER  - 
TY  - JOUR
A1  - Gaigall, Daniel
A1  - Gerstenberg, Julian
T1  - Cramér-von-Mises tests for the distribution of the excess over a confidence level
JF  - Journal of Nonparametric Statistics
N2  - The Cramér-von-Mises distance is applied to the distribution of the excess over a confidence level. Asymptotics of related statistics are investigated, and it is seen that the obtained limit distributions differ from the classical ones. For that reason, quantiles of the new limit distributions are given and new bootstrap techniques for approximation purposes are introduced and justified. The results motivate new one-sample goodness-of-fit tests for the distribution of the excess over a confidence level and a new confidence interval for the related fitting error. Simulation studies investigate size and power of the tests as well as coverage probabilities of the confidence interval in the finite sample case. A practice-oriented application of the Cramér-von-Mises tests is the determination of an appropriate confidence level for the fitting approach. The adoption of the idea to the well-known problem of threshold detection in the context of peaks over threshold modelling is sketched and illustrated by data examples.
KW  - Cramér-von-Mises test
KW  - conditional excess distribution
KW  - confidence interval
KW  - goodness-of-fit test
Y1  - 2023
U6  - http://dx.doi.org/10.1080/10485252.2023.2173958
SN  - 1048-5252 (Print)
SN  - 1029-0311 (Online)
PB  - Taylor & Francis
ER  - 
TY  - JOUR
A1  - Gaigall, Daniel
A1  - Gerstenberg, Julian
A1  - Trinh, Thi Thu Ha
T1  - Empirical process of concomitants for partly categorial data and applications in statistics
JF  - Bernoulli
N2  - On the basis of independent and identically distributed bivariate random vectors, where the components are categorial and continuous variables, respectively, the related concomitants, also called induced order statistic, are considered. The main theoretical result is a functional central limit theorem for the empirical process of the concomitants in a triangular array setting. A natural application is hypothesis testing. An independence test and a two-sample test are investigated in detail. The fairly general setting enables limit results under local alternatives and bootstrap samples. For the comparison with existing tests from the literature simulation studies are conducted. The empirical results obtained confirm the theoretical findings.
KW  - bootstrap
KW  - Categorial variable
KW  - Concomitant
KW  - Empirical process
KW  - Independence test
Y1  - 2022
U6  - http://dx.doi.org/10.3150/21-BEJ1367
SN  - 1573-9759
VL  - 28
IS  - 2
SP  - 803
EP  - 829
PB  - International Statistical Institute
CY  - Den Haag, NL
ER  - 
TY  - JOUR
A1  - Gamella, Maria
A1  - Zakharchenko, Andrey
A1  - Guz, Nataliia
A1  - Masi, Madeline
A1  - Minko, Sergiy
A1  - Kolpashchikov, Dmitry M.
A1  - Iken, Heiko
A1  - Poghossian, Arshak
A1  - Schöning, Michael Josef
A1  - Katz, Evgeny
T1  - DNA computing system activated by electrochemically triggered DNA realease from a polymer-brush-modified electrode array
JF  - Electroanalysis
N2  - An array of four independently wired indium tin oxide (ITO) electrodes was used for electrochemically stimulated DNA release and activation of DNA-based Identity, AND and XOR logic gates. Single-stranded DNA molecules were loaded on the mixed poly(N,N-dimethylaminoethyl methacrylate) (PDMAEMA)/poly(methacrylic acid) (PMAA) brush covalently attached to the ITO electrodes. The DNA deposition was performed at pH 5.0 when the polymer brush is positively charged due to protonation of tertiary amino groups in PDMAEMA, thus resulting in electrostatic attraction of the negatively charged DNA. By applying electrolysis at −1.0 V(vs. Ag/AgCl reference) electrochemical oxygen reduction resulted in the consumption of hydrogen ions and local pH increase near the electrode surface. The process resulted in recharging the polymer brush to the negative state due to dissociation of carboxylic groups of PMAA, thus repulsing the negatively charged DNA and releasing it from the electrode surface. The DNA release was performed in various combinations from different electrodes in the array assembly. The released DNA operated as input signals for activation of the Boolean logic gates. The developed system represents a step forward in DNA computing, combining for the first time DNA chemical processes with electronic input signals.
Y1  - 2017
U6  - http://dx.doi.org/10.1002/elan.201600389
SN  - 1521-4109
VL  - 29
IS  - 2
SP  - 398
EP  - 408
PB  - Wiley-VCH
CY  - Weinheim
ER  - 
TY  - JOUR
A1  - Garhofer, Gerhard
A1  - Bek, Toke
A1  - Boehm, Andreas G.
A1  - Gherghel, Doina
A1  - Grundwald, Juan
A1  - Jeppesen, Peter
A1  - Kergoat, Hélène
A1  - Kotliar, Konstantin
A1  - Lanzl, Ines
A1  - Lovasik, John V.
A1  - Nagel, Edgar
A1  - Vilser, Walthard
A1  - Orgul, Selim
A1  - Schmetterer, Leopold
T1  - Use of the retinal vessel analyzer in ocular blood flow research
JF  - Acta Ophthalmol
N2  - The present article describes a standard instrument for the continuous online determination of retinal vessel diameters, the commercially available retinal vessel analyzer. This report is intended to provide informed guidelines for measuring ocular blood flow with this system. The report describes the principles underlying the method and the instruments currently available, and discusses clinical protocol and the specific parameters measured by the system. Unresolved questions and the possible limitations of the technique are also discussed.
Y1  - 2010
U6  - http://dx.doi.org/10.1111/j.1755-3768.2009.01587.x
SN  - 1755-3768
VL  - 88
IS  - 7
SP  - 717
EP  - 722
PB  - Wiley-Blackwell
CY  - Oxford
ER  - 
TY  - JOUR
A1  - Garibaldi, F.
A1  - Beging, Stefan
A1  - Canese, R.
A1  - Carpinelli, G.
A1  - Clinthorne, N.
A1  - Colilli, S.
A1  - Cosentino, L.
A1  - Finocchiaro, P.
A1  - Giuliani, F.
A1  - Gricia, M.
A1  - Lucentini, M.
A1  - Majewski, S.
A1  - Monno, E.
A1  - Musico, P.
A1  - Santavenere, F.
A1  - Tödter, J.
A1  - Wegener, Hans-Peter
A1  - Ziemons, Karl
T1  - A novel TOF-PET MRI detector for diagnosis and follow up of the prostate cancer
JF  - European Physical Journal Plus
Y1  - 2017
U6  - http://dx.doi.org/10.1140/epjp/i2017-11662-x
SN  - 2190-5444
VL  - 132
IS  - 9
PB  - Springer
CY  - Berlin
ER  - 
TY  - JOUR
A1  - Gasparyan, F. V.
A1  - Poghossian, Arshak
A1  - Vitusevich, S. A.
A1  - Petrychuk, M. V.
A1  - Sydoruk, V. A.
A1  - Surmalyan, A. V.
A1  - Siqueira, J. R.
A1  - Oliveira, O. N.
A1  - Offenhäusser, A.
A1  - Schöning, Michael Josef
T1  - Low Frequency Noise In Electrolyte-Gate Field-Effect Devices Functionalized With Dendrimer/Carbon-Nanotube Multilayers
JF  - Noise and fluctuations : 20th International Conference on Noise and Fluctuations, ICNF 2009, Pisa, Italy, 14 - 19 June 2009 / ed. Massimo Macucci; Giovanni Basso
Y1  - 2009
SN  - 9780735406650
N1  - AIP conference proceedings ; 1129 ; International Conference on Noise and Fluctuations ; (20, 2009, Pisa)
SP  - 133
EP  - 136
PB  - American Inst. of Physics
CY  - Melville, NY
ER  - 
TY  - JOUR
A1  - Gasparyan, F.V.
A1  - Vitusevich, S.A.
A1  - Offenhäusser, A.
A1  - Schöning, Michael Josef
T1  - Modified charge fluctuation noise model for electrolyte-insulator-semiconductor devices
JF  - Modern Physics Letters B (MPLB). 25 (2011), H. 11
Y1  - 2011
SN  - 0217-9849
SP  - 831
EP  - 840
PB  - World Scientific Publ.
CY  - Singapur
ER  - 
TY  - JOUR
A1  - Gasparyan, Ferdinand V.
A1  - Poghossian, Arshak
A1  - Vitusevich, Svetlana A.
A1  - Petrychuk, Mykhaylo V.
A1  - Sydoruk, Viktor A.
A1  - Siqueira, José R. Jr.
A1  - Oliveira, Osvaldo N. Jr.
A1  - Offenhäusser, Andreas
A1  - Schöning, Michael Josef
T1  - Low-Frequency Noise in Field-Effect Devices Functionalized With Dendrimer/Carbon-Nanotube Multilayers
JF  - IEEE Sensors Journal. 11 (2011), H. 1
Y1  - 2011
SN  - 1530-437X
SP  - 142
EP  - 149
PB  - IEEE
CY  - New York
ER  -