TY - JOUR A1 - Reißel, Martin A1 - Quell, P. T1 - On the Vanishing Displacement Current Limit for Eddy-Current Problems / Quell, P. ; Reißel, M. JF - ZAMM - Zeitschrift für Angewandte Mathematik und Mechanik. 76 (1996), H. S2 Y1 - 1996 SN - 0044-2267 N1 - ICIAM/GAMM 95 Applied Analysis SP - 649 EP - 650 ER - TY - JOUR A1 - Stulpe, Werner T1 - On the Representation of Quantum Mechanics on Phase Space JF - International Journal of Theoretical Physics. 31 (1992), H. 9 Y1 - 1992 SN - 1572-9575 SP - 1785 EP - 1795 ER - TY - JOUR A1 - Stulpe, Werner T1 - On the Representation of Quantum Mechanics on a Classical Sample Space JF - International Journal of Theoretical Physics. 37 (1998), H. 1 Y1 - 1998 SN - 1572-9575 SP - 349 EP - 356 ER - TY - JOUR A1 - Gaigall, Daniel T1 - On the applicability of several tests to models with not identically distributed random effects JF - Statistics : A Journal of Theoretical and Applied Statistics N2 - We consider Kolmogorov–Smirnov and Cramér–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. KW - central symmetry test KW - exchangeability test KW - independence test KW - random effects KW - not identically distributed Y1 - 2023 SN - 0323-3944 U6 - https://doi.org/10.1080/02331888.2023.2193748 SN - 1029-4910 VL - 57 PB - Taylor & Francis CY - London ER - TY - JOUR A1 - Grotendorst, Johannes A1 - Jansen, Paul A1 - Schoberth, Siegfried T1 - On Solving the McConnell Equations in Biochemistry / Grotendorst, Johannes ; Jansen, Paul ; Schoberth, Siegfried JF - MapleTech. 1 (1993) Y1 - 1993 SN - 1061-5733 N1 - zgl. Technical Report KFA-ZAM-IB-9314 ; The Maple Technical Newsletter SP - 56 EP - 62 ER - TY - JOUR A1 - Dikta, Gerhard T1 - On Semiparametric Random Censorship Models JF - Journal of Statistical Planning and Inference. 66 (1998), H. 2 Y1 - 1998 SN - 0378-3758 SP - 253 EP - 279 ER - TY - THES A1 - Gaigall, Daniel T1 - On selected problems in multivariate analysis N2 - 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. KW - Paired sample KW - Marginal homogeneity KW - Incomplete data KW - Asymptotic relative efficiency KW - Volumes of confidence regions Y1 - 2023 U6 - https://doi.org/10.15488/14304 N1 - Gottfried Wilhelm Leibniz Universität Hannover ER - TY - JOUR A1 - Reißel, Martin A1 - Herbst, Michael A1 - Gottschalk, Swen A1 - Hardelauf, Horst T1 - 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 JF - Computers & Geosciences. 34 (2008), H. 12 Y1 - 2008 SN - 0098-3004 SP - 1958 EP - 1963 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 - 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 -