@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{Dikta2006, author = {Dikta, Gerhard}, title = {Time series methods to forecast patent filings}, series = {Forecasting innovations : methods for predicting numbers of patent filings ; with 71 tables / Peter Hingley ; Marc Nicolas (ed.),}, journal = {Forecasting innovations : methods for predicting numbers of patent filings ; with 71 tables / Peter Hingley ; Marc Nicolas (ed.),}, publisher = {Springer}, address = {Berlin [u.a.]}, isbn = {978-3-540-35991-3}, doi = {10.1007/3-540-35992-3_6}, pages = {95 -- 124}, year = {2006}, 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{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} }