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 - Pfaff, Raphael A1 - Burnham, Keith J. T1 - On abstraction and interpretability: a behavioural perspective JF - Systems Science Y1 - 2009 SN - 0137-1223 VL - Vol. 35 IS - Iss. 2 SP - 19 EP - 26 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 - https://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 - Ratke, Lorenz A1 - Milow, Barbara A1 - Lisinski, Susanne A1 - Hoepfner, Sandra T1 - On an effect of fine ceramic particles on the structure of aerogels JF - Microgravity science and technology Y1 - 2014 U6 - https://doi.org/10.1007/s12217-014-9380-2 SN - 0938-0108 ; 1875-0494 VL - 26 SP - 103 EP - 110 PB - Springer Nature CY - Heidelberg 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 - https://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 - 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 - Hellwig, Angelika A1 - Volkmann, Lutz T1 - On connectivity in graphs with given clique number JF - Journal of graph theory Y1 - 2006 SN - 03649024 ; 10970118 VL - Vol. 52 IS - Iss. 1 SP - 7 EP - 14 ER - TY - JOUR A1 - Ahmed, Essam A1 - Reisgen, Uwe A1 - Schleser, Markus A1 - Mokrov, Oleg T1 - On formability of tailor laser welded blanks of DP/TRIP steel sheets JF - Science and technology of welding and joining N2 - 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. Y1 - 2010 U6 - https://doi.org/10.1179/136217110X12731414739754 SN - 1743-2936 VL - 15 IS - 5 SP - 337 EP - 342 PB - Maney CY - Leeds ER - TY - JOUR A1 - Stulpe, Werner A1 - Bugajski, S. A1 - Hellwig, K.-E. T1 - On Fuzzy Random Variables and Statistical Maps. Bugajski, S.; Hellwig, K.-E.; Stulpe, W. JF - Reports on Mathematical Physics. 41 (1998), H. 1 Y1 - 1998 SN - 0034-4877 SP - 1 EP - 11 ER - TY - JOUR A1 - Baringhaus, Ludwig A1 - Gaigall, Daniel T1 - On Hotelling’s T² test in a special paired sample case JF - Communications in Statistics - Theory and Methods N2 - 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. KW - complete block symmetry KW - Hotelling’s T² test KW - likelihood ratio test KW - uniformly most powerful invariant test Y1 - 2017 U6 - https://doi.org/10.1080/03610926.2017.1408828 SN - 1532-415X VL - 48 IS - 2 SP - 257 EP - 267 PB - Taylor & Francis CY - London ER -