@article{Dikta1995, author = {Dikta, Gerhard}, title = {Asymptotic Normality Under the Koziol-Green Model}, series = {Communications in Statistics: Theory and Methods. 24 (1995), H. 6}, journal = {Communications in Statistics: Theory and Methods. 24 (1995), H. 6}, isbn = {0361-0926}, pages = {1537 -- 1549}, year = {1995}, language = {en} } @article{Dikta1993, author = {Dikta, Gerhard}, title = {A Note on the Rate of Convergence of the Bootstrap}, series = {Journal of Approximation Theory. 75 (1993), H. 1}, journal = {Journal of Approximation Theory. 75 (1993), H. 1}, isbn = {0021-9045}, pages = {112 -- 114}, year = {1993}, 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{Dikta2000, author = {Dikta, Gerhard}, title = {The Strong Law under Semiparametric Random Censorship Models}, series = {Journal of Statistical Planning and Inference. 83 (2000), H. 1}, journal = {Journal of Statistical Planning and Inference. 83 (2000), H. 1}, isbn = {0378-3758}, pages = {1 -- 10}, year = {2000}, language = {en} } @article{Dikta2001, author = {Dikta, Gerhard}, title = {Weak Representation of the Cumulative Hazard Function under Semiparametric Random Censorship Models}, series = {Statistics. 35 (2001), H. 4}, journal = {Statistics. 35 (2001), H. 4}, isbn = {0233-1888}, pages = {395 -- 410}, year = {2001}, language = {en} } @article{Dikta2008, author = {Dikta, Gerhard}, title = {The Bootstrap in Binary Model Diagnostics}, series = {Frontiers of applied and computational mathematics : New Jersey Institute of Technology, USA, 19 - 21 May 2008 ; [dedicated to Daljit Singh Ahluwalia on his 75th birthday ; Fifth Annual Frontiers in Applied and Computational Mathematics Conference (FACM '08) ; selection of papers] / ed. by Denis Blackmore}, journal = {Frontiers of applied and computational mathematics : New Jersey Institute of Technology, USA, 19 - 21 May 2008 ; [dedicated to Daljit Singh Ahluwalia on his 75th birthday ; Fifth Annual Frontiers in Applied and Computational Mathematics Conference (FACM '08) ; selection of papers] / ed. by Denis Blackmore}, publisher = {World Scientific}, address = {Hackensack, NJ [u.a.]}, isbn = {978-981-283-528-4}, pages = {119 -- 126}, year = {2008}, language = {en} } @incollection{Dikta1998, author = {Dikta, Gerhard}, title = {Fundamentals of applied probability and basic statistics}, series = {Critical care nephrology / [Hrsg.:] Claudio Ronco and Rinaldo Bellomo}, booktitle = {Critical care nephrology / [Hrsg.:] Claudio Ronco and Rinaldo Bellomo}, publisher = {Springer}, address = {Dordrecht}, isbn = {978-94-010-6306-7}, pages = {51 -- 61}, year = {1998}, language = {en} } @article{Dikta2014, author = {Dikta, Gerhard}, title = {Asymptotically efficient estimation under semi-parametric random censorship models}, series = {Journal of multivariate analysis}, volume = {124}, journal = {Journal of multivariate analysis}, publisher = {Elsevier}, address = {Amsterdam}, issn = {1095-7243 (E-Journal); 0047-259X (Print)}, doi = {10.1016/j.jmva.2013.10.002}, pages = {10 -- 24}, year = {2014}, abstract = {We study the estimation of some linear functionals which are based on an unknown lifetime distribution. The observations are assumed to be generated under the semi-parametric random censorship model (SRCM), that is, a random censorship model where the conditional expectation of the censoring indicator given the observation belongs to a parametric family. Under this setup a semi-parametric estimator of the survival function was introduced by the author. If the parametric model assumption is correct, it is known that the estimated functional which is based on this semi-parametric estimator is asymptotically at least as efficient as the corresponding one which rests on the nonparametric Kaplan-Meier estimator. In this paper we show that the estimated functional which is based on this semi-parametric estimator is asymptotically efficient with respect to the class of all regular estimators under this semi-parametric model.}, language = {en} } @article{Dikta2017, author = {Dikta, Gerhard}, title = {Semi-parametric random censorship models}, series = {From Statistics to Mathematical Finance : Festschrift in Honour of Winfried Stute}, journal = {From Statistics to Mathematical Finance : Festschrift in Honour of Winfried Stute}, publisher = {Springer}, address = {Berlin}, isbn = {978-3-319-50986-0}, doi = {10.1007/978-3-319-50986-0_3}, pages = {43 -- 56}, year = {2017}, language = {en} } @article{DiktaDegenringFroemmeletal.2004, author = {Dikta, Gerhard and Degenring, D. and Froemmel, C. and Takors, R.}, title = {Sensitivity analysis for the reduction of complex metabolism models / Degenring, D. ; Froemmel, C. ; Dikta, G.; Takors, R.}, series = {Journal of Process Control. 14 (2004)}, journal = {Journal of Process Control. 14 (2004)}, isbn = {0959-1524}, pages = {729 -- 745}, year = {2004}, language = {en} } @article{DiktaGhorai1990, author = {Dikta, Gerhard and Ghorai, J. K.}, title = {Bootstrap Approximation with Censored Data under the Proportional Hazard Model}, series = {Communications in Statistics: Theory and Methods. 19 (1990), H. 2}, journal = {Communications in Statistics: Theory and Methods. 19 (1990), H. 2}, isbn = {0361-0926}, pages = {573 -- 581}, year = {1990}, language = {en} } @article{DiktaGhoraiSchmidt2005, author = {Dikta, Gerhard and Ghorai, Jugal and Schmidt, Christian}, title = {The Central Limit Theorem under Semiparametric Random Censorship Models}, series = {Journal of Statistical Planning and Inference. 127 (2005), H. 1}, journal = {Journal of Statistical Planning and Inference. 127 (2005), H. 1}, isbn = {0378-3758}, pages = {23 -- 51}, year = {2005}, language = {en} } @article{DiktaHausmannSchmidt2002, author = {Dikta, Gerhard and Hausmann, Rolf and Schmidt, Christian}, title = {Some Simulation Results under Random Censorship Models}, pages = {1 -- 12}, year = {2002}, language = {en} } @article{DiktaKurtzStute1989, author = {Dikta, Gerhard and Kurtz, B. and Stute, W.}, title = {Sequential Fixed-Width Confidence Bands for Distribution Functions Under Random Censoring}, series = {Metrika. 36 (1989)}, journal = {Metrika. 36 (1989)}, isbn = {0026-1335}, pages = {167 -- 176}, year = {1989}, language = {en} } @article{DiktaKvesicSchmidt2006, author = {Dikta, Gerhard and Kvesic, Marsel and Schmidt, Christian}, title = {Bootstrap Approximations in Model Checks for Binary Data}, series = {Journal of the American Statistical Association. 101 (2006), H. 474}, journal = {Journal of the American Statistical Association. 101 (2006), H. 474}, isbn = {0162-1459}, pages = {521 -- 530}, year = {2006}, language = {en} } @article{DiktaKuehlheimMendoncaetal.2015, author = {Dikta, Gerhard and K{\"u}hlheim, Ren{\´e} and Mendonca, Jorge and Una-Alcarez, Jacobo de}, title = {Asymptotic representation of presmoothed Kaplan-Meier integrals with covariates in a semiparametric censorship model}, series = {Journal of Statistical Planning and Inference}, volume = {Vol. 171}, journal = {Journal of Statistical Planning and Inference}, publisher = {Elsevier}, address = {Amsterdam}, issn = {0378-3758}, doi = {10.1016/j.jspi.2015.12.001}, pages = {10 -- 37}, year = {2015}, language = {en} } @article{DiktaReisselHarlass2016, author = {Dikta, Gerhard and Reißel, Martin and Harlaß, Carsten}, title = {Semi-parametric survival function estimators deduced from an identifying Volterra type integral equation}, series = {Journal of multivariate analysis}, journal = {Journal of multivariate analysis}, number = {147}, publisher = {Elsevier}, address = {Amsterdam}, doi = {10.1016/j.jmva.2016.02.008}, pages = {273 -- 284}, year = {2016}, abstract = {Based on an identifying Volterra type integral equation for randomly right censored observations from a lifetime distribution function F, we solve the corresponding estimating equation by an explicit and implicit Euler scheme. While the first approach results in some known estimators, the second one produces new semi-parametric and pre-smoothed Kaplan-Meier estimators which are real distribution functions rather than sub-distribution functions as the former ones are. This property of the new estimators is particular useful if one wants to estimate the expected lifetime restricted to the support of the observation time. Specifically, we focus on estimation under the semi-parametric random censorship model (SRCM), that is, a random censorship model where the conditional expectation of the censoring indicator given the observation belongs to a parametric family. We show that some estimated linear functionals which are based on the new semi-parametric estimator are strong consistent, asymptotically normal, and efficient under SRCM. In a small simulation study, the performance of the new estimator is illustrated under moderate sample sizes. Finally, we apply the new estimator to a well-known real dataset.}, language = {en} } @book{DiktaScheer2021, author = {Dikta, Gerhard and Scheer, Marsel}, title = {Bootstrap Methods: With Applications in R}, publisher = {Springer}, address = {Cham}, isbn = {978-3-030-73480-0}, doi = {10.1007/978-3-030-73480-0}, pages = {XVI, 256 Seiten}, year = {2021}, abstract = {This book provides a compact introduction to the bootstrap method. In addition to classical results on point estimation and test theory, multivariate linear regression models and generalized linear models are covered in detail. Special attention is given to the use of bootstrap procedures to perform goodness-of-fit tests to validate model or distributional assumptions. In some cases, new methods are presented here for the first time. The text is motivated by practical examples and the implementations of the corresponding algorithms are always given directly in R in a comprehensible form. Overall, R is given great importance throughout. Each chapter includes a section of exercises and, for the more mathematically inclined readers, concludes with rigorous proofs. The intended audience is graduate students who already have a prior knowledge of probability theory and mathematical statistics.}, language = {en} } @article{DiktaSubramanian2009, author = {Dikta, Gerhard and Subramanian, Sundarraman}, title = {Inverse censoring weighted median regression / Sundarraman Subramanian and Gerhard Dikta}, series = {Statistical Methodology. 6 (2009), H. 6}, journal = {Statistical Methodology. 6 (2009), H. 6}, publisher = {Elsevier}, address = {Amsterdam}, isbn = {1572-3127}, pages = {594 -- 603}, year = {2009}, language = {en} } @article{DiltheyBrandenburgSchleser2004, author = {Dilthey, Ulrich and Brandenburg, Annette and Schleser, Markus}, title = {Dispensing and application of unfilled adhesives in the micro range}, series = {Welding and cutting. 3 (2004), H. 4}, journal = {Welding and cutting. 3 (2004), H. 4}, issn = {1612-3433}, pages = {250 -- 254}, year = {2004}, language = {en} }