@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} }