@article{Gaigall2019,
  author    = {Gaigall, Daniel},
  title     = {On a new approach to the multi-sample goodness-of-fit problem},
  series = {Communications in Statistics - Simulation and Computation},
  volume    = {53},
  journal   = {Communications in Statistics - Simulation and Computation},
  number    = {10},
  publisher = {Taylor \& Francis},
  address   = {London},
  issn      = {1532-4141},
  doi       = {10.1080/03610918.2019.1618472},
  pages     = {2971 -- 2989},
  year      = {2019},
  abstract  = {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.},
  language  = {en}
}
@phdthesis{Gaigall2023,
  author    = {Gaigall, Daniel},
  title     = {On selected problems in multivariate analysis},
  doi       = {10.15488/14304},
  pages     = {17 Seiten},
  year      = {2023},
  abstract  = {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.},
  language  = {en}
}
@article{GaigallGerstenberg2023,
  author    = {Gaigall, Daniel and Gerstenberg, Julian},
  title     = {Cram{\´e}r-von-Mises tests for the distribution of the excess over a confidence level},
  series = {Journal of Nonparametric Statistics},
  journal   = {Journal of Nonparametric Statistics},
  publisher = {Taylor \& Francis},
  issn      = {1048-5252 (Print)},
  doi       = {10.1080/10485252.2023.2173958},
  year      = {2023},
  abstract  = {The Cram{\´e}r-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 Cram{\´e}r-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.},
  language  = {en}
}
@article{GaigallGerstenbergTrinh2022,
  author    = {Gaigall, Daniel and Gerstenberg, Julian and Trinh, Thi Thu Ha},
  title     = {Empirical process of concomitants for partly categorial data and applications in statistics},
  series = {Bernoulli},
  volume    = {28},
  journal   = {Bernoulli},
  number    = {2},
  publisher = {International Statistical Institute},
  address   = {Den Haag, NL},
  issn      = {1573-9759},
  doi       = {10.3150/21-BEJ1367},
  pages     = {803 -- 829},
  year      = {2022},
  abstract  = {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.},
  language  = {en}
}
@article{GamellaZakharchenkoGuzetal.2017,
  author    = {Gamella, Maria and Zakharchenko, Andrey and Guz, Nataliia and Masi, Madeline and Minko, Sergiy and Kolpashchikov, Dmitry M. and Iken, Heiko and Poghossian, Arshak and Sch{\"o}ning, Michael Josef and Katz, Evgeny},
  title     = {DNA computing system activated by electrochemically triggered DNA realease from a polymer-brush-modified electrode array},
  series = {Electroanalysis},
  volume    = {29},
  journal   = {Electroanalysis},
  number    = {2},
  publisher = {Wiley-VCH},
  address   = {Weinheim},
  issn      = {1521-4109},
  doi       = {10.1002/elan.201600389},
  pages     = {398 -- 408},
  year      = {2017},
  abstract  = {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.},
  language  = {en}
}
@article{GarhoferBekBoehmetal.2010,
  author    = {Garhofer, Gerhard and Bek, Toke and Boehm, Andreas G. and Gherghel, Doina and Grundwald, Juan and Jeppesen, Peter and Kergoat, H{\´e}l{\`e}ne and Kotliar, Konstantin and Lanzl, Ines and Lovasik, John V. and Nagel, Edgar and Vilser, Walthard and Orgul, Selim and Schmetterer, Leopold},
  title     = {Use of the retinal vessel analyzer in ocular blood flow research},
  series = {Acta Ophthalmol},
  volume    = {88},
  journal   = {Acta Ophthalmol},
  number    = {7},
  publisher = {Wiley-Blackwell},
  address   = {Oxford},
  issn      = {1755-3768},
  doi       = {10.1111/j.1755-3768.2009.01587.x},
  pages     = {717 -- 722},
  year      = {2010},
  abstract  = {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.},
  language  = {en}
}
@article{GaribaldiBegingCaneseetal.2017,
  author    = {Garibaldi, F. and Beging, Stefan and Canese, R. and Carpinelli, G. and Clinthorne, N. and Colilli, S. and Cosentino, L. and Finocchiaro, P. and Giuliani, F. and Gricia, M. and Lucentini, M. and Majewski, S. and Monno, E. and Musico, P. and Santavenere, F. and T{\"o}dter, J. and Wegener, Hans-Peter and Ziemons, Karl},
  title     = {A novel TOF-PET MRI detector for diagnosis and follow up of the prostate cancer},
  series = {European Physical Journal Plus},
  volume    = {132},
  journal   = {European Physical Journal Plus},
  number    = {9},
  publisher = {Springer},
  address   = {Berlin},
  issn      = {2190-5444},
  doi       = {10.1140/epjp/i2017-11662-x},
  year      = {2017},
  language  = {en}
}
@article{GasparyanPoghossianVitusevichetal.2009,
  author    = {Gasparyan, F. V. and Poghossian, Arshak and Vitusevich, S. A. and Petrychuk, M. V. and Sydoruk, V. A. and Surmalyan, A. V. and Siqueira, J. R. and Oliveira, O. N. and Offenh{\"a}usser, A. and Sch{\"o}ning, Michael Josef},
  title     = {Low Frequency Noise In Electrolyte-Gate Field-Effect Devices Functionalized With Dendrimer/Carbon-Nanotube Multilayers},
  series = {Noise and fluctuations : 20th International Conference on Noise and Fluctuations, ICNF 2009, Pisa, Italy, 14 - 19 June 2009 / ed. Massimo Macucci; Giovanni Basso},
  journal   = {Noise and fluctuations : 20th International Conference on Noise and Fluctuations, ICNF 2009, Pisa, Italy, 14 - 19 June 2009 / ed. Massimo Macucci; Giovanni Basso},
  publisher = {American Inst. of Physics},
  address   = {Melville, NY},
  isbn      = {9780735406650},
  pages     = {133 -- 136},
  year      = {2009},
  language  = {en}
}
@article{GasparyanVitusevichOffenhaeusseretal.2011,
  author    = {Gasparyan, F.V. and Vitusevich, S.A. and Offenh{\"a}usser, A. and Sch{\"o}ning, Michael Josef},
  title     = {Modified charge fluctuation noise model for electrolyte-insulator-semiconductor devices},
  series = {Modern Physics Letters B (MPLB). 25 (2011), H. 11},
  journal   = {Modern Physics Letters B (MPLB). 25 (2011), H. 11},
  publisher = {World Scientific Publ.},
  address   = {Singapur},
  isbn      = {0217-9849},
  pages     = {831 -- 840},
  year      = {2011},
  language  = {en}
}
@article{GasparyanPoghossianVitusevichetal.2011,
  author    = {Gasparyan, Ferdinand V. and Poghossian, Arshak and Vitusevich, Svetlana A. and Petrychuk, Mykhaylo V. and Sydoruk, Viktor A. and Siqueira, Jos{\´e} R. Jr. and Oliveira, Osvaldo N. Jr. and Offenh{\"a}usser, Andreas and Sch{\"o}ning, Michael Josef},
  title     = {Low-Frequency Noise in Field-Effect Devices Functionalized With Dendrimer/Carbon-Nanotube Multilayers},
  series = {IEEE Sensors Journal. 11 (2011), H. 1},
  journal   = {IEEE Sensors Journal. 11 (2011), H. 1},
  publisher = {IEEE},
  address   = {New York},
  isbn      = {1530-437X},
  pages     = {142 -- 149},
  year      = {2011},
  language  = {en}
}