@article{Gaigall2020, author = {Gaigall, Daniel}, title = {Testing marginal homogeneity of a continuous bivariate distribution with possibly incomplete paired data}, series = {Metrika}, volume = {2020}, journal = {Metrika}, number = {83}, publisher = {Springer}, issn = {1435-926X}, doi = {10.1007/s00184-019-00742-5}, pages = {437 -- 465}, year = {2020}, abstract = {We discuss the testing problem of homogeneity of the marginal distributions of a continuous bivariate distribution based on a paired sample with possibly missing components (missing completely at random). Applying the well-known two-sample Cr{\´a}mer-von-Mises distance to the remaining data, we determine the limiting null distribution of our test statistic in this situation. It is seen that a new resampling approach is appropriate for the approximation of the unknown null distribution. We prove that the resulting test asymptotically reaches the significance level and is consistent. Properties of the test under local alternatives are pointed out as well. Simulations investigate the quality of the approximation and the power of the new approach in the finite sample case. As an illustration we apply the test to real data sets.}, language = {en} } @article{Gaigall2019, author = {Gaigall, Daniel}, title = {On a new approach to the multi-sample goodness-of-fit problem}, series = {Communications in Statistics - Simulation and Computation}, volume = {53}, journal = {Communications in Statistics - Simulation and Computation}, number = {10}, publisher = {Taylor \& Francis}, address = {London}, issn = {1532-4141}, doi = {10.1080/03610918.2019.1618472}, pages = {2971 -- 2989}, year = {2019}, abstract = {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.}, language = {en} } @article{Gaigall2020, author = {Gaigall, Daniel}, title = {Hoeffding-Blum-Kiefer-Rosenblatt independence test statistic on partly not identically distributed data}, series = {Communications in Statistics - Theory and Methods}, volume = {51}, journal = {Communications in Statistics - Theory and Methods}, number = {12}, publisher = {Taylor \& Francis}, address = {London}, issn = {1532-415X}, doi = {10.1080/03610926.2020.1805767}, pages = {4006 -- 4028}, year = {2020}, abstract = {The established Hoeffding-Blum-Kiefer-Rosenblatt independence test statistic is investigated for partly not identically distributed data. Surprisingly, it turns out that the statistic has the well-known distribution-free limiting null distribution of the classical criterion under standard regularity conditions. An application is testing goodness-of-fit for the regression function in a non parametric random effects meta-regression model, where the consistency is obtained as well. Simulations investigate size and power of the approach for small and moderate sample sizes. A real data example based on clinical trials illustrates how the test can be used in applications.}, language = {en} } @article{FoersterZettlerMikkelsenetal.1992, author = {F{\"o}rster, Arnold and Zettler, J.-T. and Mikkelsen, H. and Leo, K.}, title = {Modulated ellipsometric measurements and transfer-matrix calculation of the field-dependent dielectric function of a multiple quantum well / J.-Th. Zettler ; H. Mikkelsen ; K. Leo ... A. 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A. ; Verghise, S. ; F{\"o}rster, A.}, series = {Applied Physics Letters. 75 (1999), H. 24}, journal = {Applied Physics Letters. 75 (1999), H. 24}, isbn = {1077-3118}, pages = {3877 -- 3879}, year = {1999}, language = {en} } @article{FoersterWensorraIndlekoferetal.2005, author = {F{\"o}rster, Arnold and Wensorra, J. and Indlekofer, K. M. and L{\"u}th, H.}, title = {Resonant tunneling in nanocolumns improved by quantum collimation. Wensorra, J.; Indlekofer, K. M.; F{\"o}rster, A.; L{\"u}th, H.}, series = {Nano Letters. 5 (2005)}, journal = {Nano Letters. 5 (2005)}, isbn = {0587-4246}, pages = {2470 -- 2475}, year = {2005}, language = {en} } @article{FoersterVitusevichBelyaev1999, author = {F{\"o}rster, Arnold and Vitusevich, S. A. and Belyaev, B. A.}, title = {Intrinsic bistability effect in delta doped tunneling diodes / S. A. Vitusevich ; A. F{\"o}rster ; B. A. Belyaev ...}, series = {Proceedings of the XXVIII International School on Physics of Semiconducting Compounds : Jaszowiec, Poland, June 6 - 11, 1999 / Polish Academy of Sciences, Institute of Physics. Ed. of the proceedings Wojciech Szuszkiewicz}, journal = {Proceedings of the XXVIII International School on Physics of Semiconducting Compounds : Jaszowiec, Poland, June 6 - 11, 1999 / Polish Academy of Sciences, Institute of Physics. Ed. of the proceedings Wojciech Szuszkiewicz}, address = {Warsaw}, pages = {S. 511 - 688 : Ill., graph. Darst.}, year = {1999}, language = {en} } @article{FoersterVitusevichBelyaevetal.2002, author = {F{\"o}rster, Arnold and Vitusevich, S. A. and Belyaev, A. E. and Sheka, D. I.}, title = {Resonant tunneling effect in a periodically modulated electrical field. Vitusevich, S.A.; Forster, A.; Belyaev, A.E.; Sheka, D.I.; Luth, H.; Klein, N.; Danylyuk, S.V.; Konakova, R.}, series = {Proceedings of the Tenth International Conference on Modulated Semiconductor Structures : held at the Johannes Kepler University, Linz, Austria, July 23 - 27, 2001 / MSS 10. Guest ed.: G{\"u}nther Bauer ...}, journal = {Proceedings of the Tenth International Conference on Modulated Semiconductor Structures : held at the Johannes Kepler University, Linz, Austria, July 23 - 27, 2001 / MSS 10. Guest ed.: G{\"u}nther Bauer ...}, publisher = {Elsevier}, address = {Amsterdam [u.a.]}, pages = {811 -- 813}, year = {2002}, language = {en} } @article{FoersterVitusevichBelyaevetal.1999, author = {F{\"o}rster, Arnold and Vitusevich, S. A. and Belyaev, A. E. and Indlekofer, K. M.}, title = {Resonant tunneling effect in delta p-n GaAs junction. Vitusevich, S. A.; F{\"o}rster, A.; Belyaev, A. E.; Indlekofer, K. M.; L{\"u}th, H.; Konakova, R. V.}, series = {Microelectronic Engineering. 46 (1999), H. 1-4}, journal = {Microelectronic Engineering. 46 (1999), H. 1-4}, isbn = {0167-9317}, pages = {169 -- 172}, year = {1999}, language = {en} }