@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{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{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} } @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{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{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} } @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} } @inproceedings{KernDikta2009, author = {Kern, Alexander and Dikta, Gerhard}, title = {Probability of damage of electrical and electronic systems due to indirect lightning flashes - investigation of data from German insurance companies}, year = {2009}, abstract = {In the presented paper data collected from the field related to damage statistics of electrical and electronic apparatus in household are reported and investigated. These damages (total number approx. 74000 cases), registered by five German insurance companies in 2005 and 2006, were adviced by customers as caused by lightning overvoltages. With the use of stochastical methods it is possible, to reasses the collected data and to distinguish between cases, which are with high probability caused by lightning overvoltages, and those, which are not. If there was an indication for a direct strike, this case was excluded, so the focus was only on indirect lightning flashes, i.e. only flashes to ground near the structure and flashes to or nearby an incoming service line were investigated. The data from the field contain the location of damaged apparatus (residence of the policy holder) and the distances of the nearest cloud-to-ground stroke to the location of the damage registered by the German lightning location network BLIDS at the date of damage. The statistical data along with some complementary numerical simulations allow to verify the correspondence of the Standards rules used for IEC 62305-2 with the field data and to define some correction needs. The results could lead to a better understanding whether a damage reported to an insurance company is really caused by indirect lightning, or not.}, subject = {Blitzschutz}, language = {en} } @article{ForstKaragiannisLuebbenetal.2008, author = {Forst, Thomas and Karagiannis, E. and L{\"u}bben, G. and Hohberg, C. and Sch{\"o}ndorf, T. and Dikta, Gerhard and Drexler, M. and Morcos, M. and D{\"a}nschel, W. and Borchert, M. and Pf{\"u}tzner, A.}, title = {Pleiotrophic and anti-inflammatory effects of pioglitazone precede the metabolic activity in type 2 diabetic patients with coronary artery disease}, series = {Atherosclerosis. 197 (2008), H. 1}, journal = {Atherosclerosis. 197 (2008), H. 1}, issn = {0021-9150}, doi = {10.1016/j.atherosclerosis.2007.05.006}, pages = {311 -- 317}, year = {2008}, language = {en} }