@article{PfaffBurnham2009, author = {Pfaff, Raphael and Burnham, Keith J.}, title = {On abstraction and interpretability: a behavioural perspective}, series = {Systems Science}, volume = {Vol. 35}, journal = {Systems Science}, number = {Iss. 2}, issn = {0137-1223}, pages = {19 -- 26}, year = {2009}, language = {en} } @article{BaringhausGaigall2019, author = {Baringhaus, Ludwig and Gaigall, Daniel}, title = {On an asymptotic relative efficiency concept based on expected volumes of confidence regions}, series = {Statistics - A Journal of Theoretical and Applied Statistic}, volume = {53}, journal = {Statistics - A Journal of Theoretical and Applied Statistic}, number = {6}, publisher = {Taylor \& Francis}, address = {London}, issn = {1029-4910}, doi = {10.1080/02331888.2019.1683560}, pages = {1396 -- 1436}, year = {2019}, abstract = {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.}, language = {en} } @article{RatkeMilowLisinskietal.2014, author = {Ratke, Lorenz and Milow, Barbara and Lisinski, Susanne and Hoepfner, Sandra}, title = {On an effect of fine ceramic particles on the structure of aerogels}, series = {Microgravity science and technology}, volume = {26}, journal = {Microgravity science and technology}, publisher = {Springer Nature}, address = {Heidelberg}, issn = {0938-0108 ; 1875-0494}, doi = {10.1007/s12217-014-9380-2}, pages = {103 -- 110}, year = {2014}, language = {en} } @article{BaringhausGaigall2015, author = {Baringhaus, Ludwig and Gaigall, Daniel}, title = {On an independence test approach to the goodness-of-fit problem}, series = {Journal of Multivariate Analysis}, volume = {2015}, journal = {Journal of Multivariate Analysis}, number = {140}, publisher = {Elsevier}, address = {Amsterdam}, issn = {0047-259X}, doi = {10.1016/j.jmva.2015.05.013}, pages = {193 -- 208}, year = {2015}, abstract = {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 Cram{\´e}r-von Mises in the special cases where F is the family of gamma distributions or the family of inverse Gaussian distributions.}, language = {en} } @article{Grotendorst2011, author = {Grotendorst, Johannes}, title = {On calculating the rate of linear convergence of non-linear transformed sequences}, series = {Proceeding SNC '11 Proceedings of the 2011 International Workshop on Symbolic-Numeric Computation}, journal = {Proceeding SNC '11 Proceedings of the 2011 International Workshop on Symbolic-Numeric Computation}, publisher = {ACM}, address = {New York, NY}, isbn = {978-1-4503-0515-0}, pages = {24 -- 33}, year = {2011}, language = {en} } @article{HellwigVolkmann2006, author = {Hellwig, Angelika and Volkmann, Lutz}, title = {On connectivity in graphs with given clique number}, series = {Journal of graph theory}, volume = {Vol. 52}, journal = {Journal of graph theory}, number = {Iss. 1}, issn = {03649024 ; 10970118}, pages = {7 -- 14}, year = {2006}, language = {en} } @article{AhmedReisgenSchleseretal.2010, author = {Ahmed, Essam and Reisgen, Uwe and Schleser, Markus and Mokrov, Oleg}, title = {On formability of tailor laser welded blanks of DP/TRIP steel sheets}, series = {Science and technology of welding and joining}, volume = {15}, journal = {Science and technology of welding and joining}, number = {5}, publisher = {Maney}, address = {Leeds}, issn = {1743-2936}, doi = {10.1179/136217110X12731414739754}, pages = {337 -- 342}, year = {2010}, abstract = {This paper aims to evaluate the formability of tailor welded blanks of dual phase (DP600)/transformation induced plasticity (TRIP700) steel sheets. In this work, bead on plate butt joints of 2·5 mm DP600 and 1·2 mm TRIP700 steel sheets were performed using CO2 laser beam welding. Microhardness measurements and transverse tensile testing were carried out to characterise the welds. The formability of base metals and welds were investigated by standard Erichsen test. In a perpendicular tensile test to the weld line, all specimens were fractured at the TRIP base metal, and the strengths were somewhat higher than those of base metal. There was a significant reduction in formability caused by welding of the DP600/TRIP700 steel sheets, and the formability increased with increasing welding speed.}, language = {en} } @article{StulpeBugajskiHellwig1998, author = {Stulpe, Werner and Bugajski, S. and Hellwig, K.-E.}, title = {On Fuzzy Random Variables and Statistical Maps. Bugajski, S.; Hellwig, K.-E.; Stulpe, W.}, series = {Reports on Mathematical Physics. 41 (1998), H. 1}, journal = {Reports on Mathematical Physics. 41 (1998), H. 1}, isbn = {0034-4877}, pages = {1 -- 11}, year = {1998}, language = {en} } @article{BaringhausGaigall2017, author = {Baringhaus, Ludwig and Gaigall, Daniel}, title = {On Hotelling's T² test in a special paired sample case}, series = {Communications in Statistics - Theory and Methods}, volume = {48}, journal = {Communications in Statistics - Theory and Methods}, number = {2}, publisher = {Taylor \& Francis}, address = {London}, issn = {1532-415X}, doi = {10.1080/03610926.2017.1408828}, pages = {257 -- 267}, year = {2017}, abstract = {In a special paired sample case, Hotelling's T² test based on the differences of the paired random vectors is the likelihood ratio test for testing the hypothesis that the paired random vectors have the same mean; with respect to a special group of affine linear transformations it is the uniformly most powerful invariant test for the general alternative of a difference in mean. We present an elementary straightforward proof of this result. The likelihood ratio test for testing the hypothesis that the covariance structure is of the assumed special form is derived and discussed. Applications to real data are given.}, language = {en} } @article{SchubaReichl1998, author = {Schuba, Marko and Reichl, Peter}, title = {On large-scale reliable multicast protocols / Schuba, M. ; Reichl, P.}, series = {6th IEE Conference on Telecommunications}, journal = {6th IEE Conference on Telecommunications}, isbn = {0-85296-700-4}, pages = {133 -- 137}, year = {1998}, language = {en} } @article{AltherrJoggerstLeiseetal.2018, author = {Altherr, Lena and Joggerst, Laura and Leise, Philipp and Pfetsch, Marc E. and Schmitt, Andreas and Wendt, Janine}, title = {On obligations in the development process of resilient systems with algorithmic design methods}, series = {Applied Mechanics and Materials}, volume = {885}, journal = {Applied Mechanics and Materials}, number = {885}, publisher = {Trans Tech Publications}, address = {B{\"a}ch}, isbn = {1662-7482}, doi = {10.4028/www.scientific.net/AMM.885.240}, pages = {240 -- 252}, year = {2018}, abstract = {Advanced computational methods are needed both for the design of large systems and to compute high accuracy solutions. Such methods are efficient in computation, but the validation of results is very complex, and highly skilled auditors are needed to verify them. We investigate legal questions concerning obligations in the development phase, especially for technical systems developed using advanced methods. In particular, we consider methods of resilient and robust optimization. With these techniques, high performance solutions can be found, despite a high variety of input parameters. However, given the novelty of these methods, it is uncertain whether legal obligations are being met. The aim of this paper is to discuss if and how the choice of a specific computational method affects the developer's product liability. The review of legal obligations in this paper is based on German law and focuses on the requirements that must be met during the design and development process.}, language = {en} } @article{ReisselHerbstGottschalketal.2008, author = {Reißel, Martin and Herbst, Michael and Gottschalk, Swen and Hardelauf, Horst}, title = {On preconditioning for a parallel solution of the Richards equation / Herbst, Michael ; Gottschalk, Swen ; Reißel, Martin ; Hardelauf, Horst ; Kasteel, Roy ; Javaux, Matthieu ; Vanderborght, Jan ; Vereecken, Harry}, series = {Computers \& Geosciences. 34 (2008), H. 12}, journal = {Computers \& Geosciences. 34 (2008), H. 12}, isbn = {0098-3004}, pages = {1958 -- 1963}, year = {2008}, language = {en} } @article{Dikta1998, author = {Dikta, Gerhard}, title = {On Semiparametric Random Censorship Models}, series = {Journal of Statistical Planning and Inference. 66 (1998), H. 2}, journal = {Journal of Statistical Planning and Inference. 66 (1998), H. 2}, isbn = {0378-3758}, pages = {253 -- 279}, year = {1998}, language = {en} } @article{GrotendorstJansenSchoberth1993, author = {Grotendorst, Johannes and Jansen, Paul and Schoberth, Siegfried}, title = {On Solving the McConnell Equations in Biochemistry / Grotendorst, Johannes ; Jansen, Paul ; Schoberth, Siegfried}, series = {MapleTech. 1 (1993)}, journal = {MapleTech. 1 (1993)}, isbn = {1061-5733}, pages = {56 -- 62}, year = {1993}, language = {en} } @article{Gaigall2023, author = {Gaigall, Daniel}, title = {On the applicability of several tests to models with not identically distributed random effects}, series = {Statistics : A Journal of Theoretical and Applied Statistics}, volume = {57}, journal = {Statistics : A Journal of Theoretical and Applied Statistics}, publisher = {Taylor \& Francis}, address = {London}, isbn = {0323-3944}, issn = {1029-4910}, doi = {10.1080/02331888.2023.2193748}, pages = {14 Seiten}, year = {2023}, abstract = {We consider Kolmogorov-Smirnov and Cram{\´e}r-von-Mises type tests for testing central symmetry, exchangeability, and independence. In the standard case, the tests are intended for the application to independent and identically distributed data with unknown distribution. The tests are available for multivariate data and bootstrap procedures are suitable to obtain critical values. We discuss the applicability of the tests to random effects models, where the random effects are independent but not necessarily identically distributed and with possibly unknown distributions. Theoretical results show the adequacy of the tests in this situation. The quality of the tests in models with random effects is investigated by simulations. Empirical results obtained confirm the theoretical findings. A real data example illustrates the application.}, language = {en} } @article{Zastrow1985, author = {Zastrow, Udo}, title = {On the complete system of fundamental solutions for anisotropic slices and slabs: A comparison by use of the slab analogy}, series = {Journal of Elasticity. 15 (1985), H. 3}, journal = {Journal of Elasticity. 15 (1985), H. 3}, isbn = {1573-2681}, pages = {293 -- 318}, year = {1985}, language = {en} } @article{DankelmannHellwigVolkmann2007, author = {Dankelmann, Peter and Hellwig, Angelika and Volkmann, Lutz}, title = {On the connectivity of diamond-free graphs}, series = {Discrete applied mathematics}, volume = {Vol. 155}, journal = {Discrete applied mathematics}, number = {Iss. 16}, issn = {0166-218X (E-Journal); 1872-6771 (E-Journal); 0166-218X (Print)}, pages = {2111 -- 2117}, year = {2007}, language = {en} } @article{HeuermannSadeghfam2007, author = {Heuermann, Holger and Sadeghfam, Arash}, title = {On the design of multimode integrated circuits in multilayered processes / Sadeghfam, A. ; Heuermann, H.}, series = {European Microwave Conference, 2007, 9-12 Oct. 2007}, journal = {European Microwave Conference, 2007, 9-12 Oct. 2007}, isbn = {978-2-87487-001-9}, pages = {516 -- 519}, year = {2007}, language = {en} } @article{Weigand1993, author = {Weigand, Christoph}, title = {On the Effects of SPC on Production Time}, series = {Economic Quality Control. 8 (1993)}, journal = {Economic Quality Control. 8 (1993)}, isbn = {0940-5151}, pages = {23 -- 61}, year = {1993}, language = {en} } @article{ZhangValeroBungetal.2018, author = {Zhang, G. and Valero, Daniel and Bung, Daniel Bernhard and Chanson, H.}, title = {On the estimation of free-surface turbulence using ultrasonic sensors}, series = {Flow Measurement and Instrumentation}, volume = {60}, journal = {Flow Measurement and Instrumentation}, publisher = {Elsevier}, address = {Amsterdam}, issn = {0955-5986}, doi = {10.1016/j.flowmeasinst.2018.02.009}, pages = {171 -- 184}, year = {2018}, abstract = {Accurate determination of free-surface dynamics has attracted much research attention during the past decade and has important applications in many environmental and water related areas. In this study, the free-surface dynamics in several turbulent flows commonly found in nature were investigated using a synchronised setup consisting of an ultrasonic sensor and a high-speed video camera. Basic sensor capabilities were examined in dry conditions to allow for a better characterisation of the present sensor model. The ultrasonic sensor was found to adequately reproduce free-surface dynamics up to the second order, especially in two-dimensional scenarios with the most energetic modes in the low frequency range. The sensor frequency response was satisfactory in the sub-20 Hz band, and its signal quality may be further improved by low-pass filtering prior to digitisation. The application of the USS to characterise entrapped air in high-velocity flows is also discussed.}, language = {en} }