TY - JOUR A1 - Grotendorst, Johannes T1 - On calculating the rate of linear convergence of non-linear transformed sequences JF - Proceeding SNC '11 Proceedings of the 2011 International Workshop on Symbolic-Numeric Computation Y1 - 2011 SN - 978-1-4503-0515-0 SP - 24 EP - 33 PB - ACM CY - New York, NY ER - TY - JOUR A1 - Baringhaus, Ludwig A1 - Gaigall, Daniel T1 - On an independence test approach to the goodness-of-fit problem JF - Journal of Multivariate Analysis N2 - Let X₁,…,Xₙ be independent and identically distributed random variables with distribution F. Assuming that there are measurable functions f:R²→R and g:R²→R characterizing a family F of distributions on the Borel sets of R in the way that the random variables f(X₁,X₂),g(X₁,X₂) are independent, if and only if F∈F, we propose to treat the testing problem H:F∈F,K:F∉F by applying a consistent nonparametric independence test to the bivariate sample variables (f(Xᵢ,Xⱼ),g(Xᵢ,Xⱼ)),1⩽i,j⩽n,i≠j. A parametric bootstrap procedure needed to get critical values is shown to work. The consistency of the test is discussed. The power performance of the procedure is compared with that of the classical tests of Kolmogorov–Smirnov and Cramér–von Mises in the special cases where F is the family of gamma distributions or the family of inverse Gaussian distributions. KW - Goodness-of-fit test KW - Independence test KW - Parametric bootstrap KW - Vapnik–Čhervonenkis class KW - Gamma distribution Y1 - 2015 U6 - http://dx.doi.org/10.1016/j.jmva.2015.05.013 SN - 0047-259X VL - 2015 IS - 140 SP - 193 EP - 208 PB - Elsevier CY - Amsterdam ER - TY - JOUR A1 - Baringhaus, Ludwig A1 - Gaigall, Daniel T1 - On an asymptotic relative efficiency concept based on expected volumes of confidence regions JF - Statistics - A Journal of Theoretical and Applied Statistic N2 - The paper deals with an asymptotic relative efficiency concept for confidence regions of multidimensional parameters that is based on the expected volumes of the confidence regions. Under standard conditions the asymptotic relative efficiencies of confidence regions are seen to be certain powers of the ratio of the limits of the expected volumes. These limits are explicitly derived for confidence regions associated with certain plugin estimators, likelihood ratio tests and Wald tests. Under regularity conditions, the asymptotic relative efficiency of each of these procedures with respect to each one of its competitors is equal to 1. The results are applied to multivariate normal distributions and multinomial distributions in a fairly general setting. KW - Volume of confidence regions KW - asymptotic relative efficiency KW - likelihood ratio test KW - multivariate normal distribution KW - multinomial distribution Y1 - 2019 U6 - http://dx.doi.org/10.1080/02331888.2019.1683560 SN - 1029-4910 VL - 53 IS - 6 SP - 1396 EP - 1436 PB - Taylor & Francis CY - London ER - TY - JOUR A1 - Reißel, Martin T1 - On a transmission boundary-value problem for the time-harmonic Maxwell equations without displacement currents / Martin Reissel Y1 - 1992 N1 - Bericht der Arbeitsgruppe Technomathematik ; 84 ; Vorabdruck SP - 19 S. ER - TY - JOUR A1 - Reißel, Martin T1 - On a Transmission Boundary Value Problem for the Time-Harmonic Maxwell Equations without Displacement Currents / Martin Reissel JF - SIAM Journal on Mathematical Analysis. 24 (1993), H. 6 Y1 - 1993 SN - 0036-1410 SP - 1440 EP - 1457 ER - 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 - CHAP A1 - Kotliar, Konstantin ED - Pallikaris, I. ED - Tsilimbaris, M. K. ED - Dastiridou, A. I. T1 - Ocular rigidity: clinical approach T2 - Ocular Rigidity, Biomechanics and Hydrodynamics of the Eye N2 - The term ocular rigidity is widely used in clinical ophthalmology. Generally it is assumed as a resistance of the whole eyeball to mechanical deformation and relates to biomechanical properties of the eye and its tissues. Basic principles and formulas for clinical tonometry, tonography and pulsatile ocular blood flow measurements are based on the concept of ocular rigidity. There is evidence for altered ocular rigidity in aging, in several eye diseases and after eye surgery. Unfortunately, there is no consensual view on ocular rigidity: it used to make a quite different sense for different people but still the same name. Foremost there is no clear consent between biomechanical engineers and ophthalmologists on the concept. Moreover ocular rigidity is occasionally characterized using various parameters with their different physical dimensions. In contrast to engineering approach, clinical approach to ocular rigidity claims to characterize the total mechanical response of the eyeball to its deformation without any detailed considerations on eye morphology or material properties of its tissues. Further to the previous chapter this section aims to describe clinical approach to ocular rigidity from the perspective of an engineer in an attempt to straighten out this concept, to show its advantages, disadvantages and various applications. KW - Coefficient of ocular rigidity KW - Eyeball KW - Corneo-scleral shell KW - Pressure-volume relationship KW - Differential tonometry Y1 - 2021 SN - 978-3-030-64422-2 U6 - http://dx.doi.org/10.1007/978-3-030-64422-2_2 SP - 15 EP - 43 PB - Springer CY - Cham ER - TY - JOUR A1 - Müller-Veggian, Mattea A1 - Neskakis, A. A1 - Beuscher, H. A1 - Gono, Y. T1 - Observations of rotation-aligned bands in the odd-odd nuclei ¹⁹⁰,¹⁹²,¹⁹⁴ Au JF - Annual report 1978 / Kernforschungsanlage Jülich Institut für Kernphysik / Hrsg.: A. Fässler. - (Spezielle Berichte der Kernforschungsanlage Jülich ; 36) Y1 - 1979 SP - 34 PB - Kernforschungsanlage CY - Jülich ER - TY - JOUR A1 - Müller-Veggian, Mattea A1 - Neskakis, A. A1 - Beuscher, H. A1 - Davidson, W. F. T1 - Observations of backbending effects in ¹⁸¹,¹⁸²,¹⁸³,¹⁸⁴ Os nuclei JF - Annual report 1974 / Institut für Kernphysik Kernforschungsanlage Jülich Y1 - 1975 SP - 82 PB - Verlag des Forschungszentrums Jülich CY - Jülich ER - TY - JOUR A1 - Müller-Veggian, Mattea A1 - Neskakis, A. A1 - Lieder, R. M. T1 - Observation of rotation-aligned bands in the odd-odd nuclei ¹⁹⁰,¹⁹²,¹⁹⁴ Au JF - Physics letters / B. 80 (1979), H. 3 Y1 - 1979 SN - 0031-9163 N1 - 2. ISSN: 0370-2693 SP - 194 EP - 197 ER - TY - JOUR A1 - Müller-Veggian, Mattea A1 - Lieder, R. M. A1 - Didelez, J. P. A1 - Beuscher, H. T1 - Observation of a New Isomer in ²¹² Po JF - Physical review letters Y1 - 1978 U6 - http://dx.doi.org/10.1103/PhysRevLett.41.742 SN - 0031-9007 VL - 41 IS - 11 SP - 742 EP - 745 PB - American Physical Society CY - Ridge, NY ER - TY - JOUR A1 - Müller-Veggian, Mattea A1 - Lieder, R. M. A1 - Didelez, J. P. A1 - Beuscher, H. T1 - Observation of a New Isomer in ²¹² Po JF - Annual report 1978 / Kernforschungsanlage Jülich Institut für Kernphysik / Hrsg.: A. Fässler. - Y1 - 1979 N1 - Spezielle Berichte der Kernforschungsanlage Jülich ; 36 SP - 38 PB - Kernforschungsanlage CY - Jülich ER - TY - CHAP A1 - Duong, Minh Tuan A1 - Nguyen, Nhu Huynh A1 - Staat, Manfred ED - Eberhardsteiner, J. T1 - Numerical stability enhancement of modeling hyperelastic materials T2 - Proceedings European Congress on Computational Methods in Applied Sciences and Engineering (ECCOMAS 2012) Y1 - 2012 N1 - 6th European Congress on Computational Methods in Applied Sciences and Engineering (ECCOMAS 2012) Vienna, Austria, September 10-14, 2012 ER - TY - JOUR A1 - Behbahani, Mehdi A1 - Tran, L. A1 - Jockenhövel, S. A1 - Behr, M. A1 - Mottaghy, K. T1 - Numerical prediction of thrombocyte reactions for application to a vascular flow model JF - British Journal of Surgery Y1 - 2011 SN - 1365-2168 N1 - 46th Congress of the European Society for Surgical Research, Aachen, Germany, 25-28 May 2011 ; ESSR Abstracts 2011 ; Oral Sessions OP10-5 VL - 98 IS - S5 SP - S17 PB - Oxford University Press CY - Oxford ER - TY - JOUR A1 - Behbahani, Mehdi A1 - Probst, M. A1 - Mai, A. A1 - Behr, M. A1 - Tran, L. A1 - Vonderstein, K. A1 - Mottaghy, K. T1 - Numerical Prediction of Blood Damage in Biomedical Devices Y1 - 2010 N1 - Posterpresentation ; Biomedica Congress, Aachen, March 17-18, 2010 ER - TY - JOUR A1 - Behbahani, Mehdi A1 - Mai, A. A1 - Waluga, C. A1 - Bergmann, B. A1 - Tran, L. A1 - Vonderstein, K. A1 - Behr, M. A1 - Mottaghy, K. T1 - Numerical Modeling of Flow-Related Thrombus Formation under Physiological and Non-Physiological Flow Conditions JF - Acta Physiologica Y1 - 2010 SN - 1748-1716 N1 - Joint Congress of the Scandinavian and German Physiological Societies, Copenhagen, Denmark, March 27-30, 2010 VL - 198 IS - Supplement 677 SP - 185 ER - TY - BOOK A1 - Staat, Manfred A1 - Heitzer, Michael T1 - Numerical methods for limit and shakedown analysis. Deterministic and probabilistic problems. Y1 - 2003 SN - 3-00-010001-6 N1 - NIC Series Vol. 15 / Ed. by Staat, M; Heitzer, M. PB - John von Neumann Institute for Computing (NIC) CY - Jülich ER - TY - JOUR A1 - Grajewski, Matthias A1 - Hron, Jaroslav A1 - Turek, Stefan T1 - Numerical analysis for a new non-conforming linear finite element on quadrilaterals JF - Journal of Computational and Applied Mathematics Y1 - 2006 U6 - http://dx.doi.org/10.1016/j.cam.2005.05.024 SN - 0377-0427 VL - 193 IS - 1 SP - 38 EP - 50 ER - TY - JOUR A1 - Grajewski, Matthias A1 - Köster, Michael A1 - Turek, Stefam T1 - Numerical analysis and implementational aspects of a new multilevel grid deformation method JF - Applied Numerical Mathematics N2 - Recently, we introduced and mathematically analysed a new method for grid deformation (Grajewski et al., 2009) [15] we call basic deformation method (BDM) here. It generalises the method proposed by Liao et al. (Bochev et al., 1996; Cai et al., 2004; Liao and Anderson, 1992) [4], [6], [20]. In this article, we employ the BDM as core of a new multilevel deformation method (MDM) which leads to vast improvements regarding robustness, accuracy and speed. We achieve this by splitting up the deformation process in a sequence of easier subproblems and by exploiting grid hierarchy. Being of optimal asymptotic complexity, we experience speed-ups up to a factor of 15 in our test cases compared to the BDM. This gives our MDM the potential for tackling large grids and time-dependent problems, where possibly the grid must be dynamically deformed once per time step according to the user's needs. Moreover, we elaborate on implementational aspects, in particular efficient grid searching, which is a key ingredient of the BDM. Y1 - 2010 U6 - http://dx.doi.org/10.1016/j.apnum.2010.03.017 SN - 0168-9274 VL - 60 IS - 8 SP - 767 EP - 781 PB - Elsevier CY - Amsterdam ER - TY - JOUR A1 - Iken, Heiko A1 - Kirsanov, D. A1 - Legin, A. A1 - Schöning, Michael Josef T1 - Novel Thin-Film Polymeric Materials for the Detection of Heavy Metals JF - Procedia Engineering N2 - A variety of transition metals, e.g., copper, zinc, cadmium, lead, etc. are widely used in industry as components for wires, coatings, alloys, batteries, paints and so on. The inevitable presence of transition metals in industrial processes implies the ambition of developing a proper analytical technique for their adequate monitoring. Most of these elements, especially lead and cadmium, are acutely toxic for biological organisms. Quantitative determination of these metals at low activity levels in different environmental and industrial samples is therefore a vital task. A promising approach to achieve an at-side or on-line monitoring on a miniaturized and cost efficient way is the combination of a common potentiometric sensor array with heavy metal-sensitive thin-film materials, like chalcogenide glasses and polymeric materials, respectively. Y1 - 2012 U6 - http://dx.doi.org/10.1016/j.proeng.2012.09.148 SN - 1877-7058 N1 - Part of special issue "26th European Conference on Solid-State Transducers, EUROSENSOR 2012" IS - 47 SP - 322 EP - 325 PB - Elsevier CY - Amsterdam ER -