TY - JOUR A1 - Dikta, Gerhard T1 - The Strong Law under Semiparametric Random Censorship Models JF - Journal of Statistical Planning and Inference. 83 (2000), H. 1 Y1 - 2000 SN - 0378-3758 SP - 1 EP - 10 ER - TY - JOUR A1 - Dikta, Gerhard A1 - Ghorai, Jugal A1 - Schmidt, Christian T1 - The Central Limit Theorem under Semiparametric Random Censorship Models JF - Journal of Statistical Planning and Inference. 127 (2005), H. 1 Y1 - 2005 SN - 0378-3758 SP - 23 EP - 51 ER - TY - JOUR A1 - Dikta, Gerhard T1 - The Bootstrap in Binary Model Diagnostics JF - 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 Y1 - 2008 SN - 978-981-283-528-4 SP - 119 EP - 126 PB - World Scientific CY - Hackensack, NJ [u.a.] ER - TY - JOUR A1 - Dikta, Gerhard A1 - Hausmann, Rolf A1 - Schmidt, Christian T1 - Some Simulation Results under Random Censorship Models Y1 - 2002 N1 - gesehen 18.06.2007 SP - 1 EP - 12 ER - TY - JOUR A1 - Dikta, Gerhard A1 - Kurtz, B. A1 - Stute, W. T1 - Sequential Fixed-Width Confidence Bands for Distribution Functions Under Random Censoring JF - Metrika. 36 (1989) Y1 - 1989 SN - 0026-1335 SP - 167 EP - 176 ER - TY - JOUR A1 - Dikta, Gerhard A1 - Degenring, D. A1 - Froemmel, C. A1 - Takors, R. T1 - Sensitivity analysis for the reduction of complex metabolism models / Degenring, D. ; Froemmel, C. ; Dikta, G.; Takors, R. JF - Journal of Process Control. 14 (2004) Y1 - 2004 SN - 0959-1524 SP - 729 EP - 745 ER - TY - JOUR A1 - Dikta, Gerhard A1 - Reißel, Martin A1 - Harlaß, Carsten T1 - Semi-parametric survival function estimators deduced from an identifying Volterra type integral equation JF - Journal of multivariate analysis N2 - 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. KW - Volterra integral equation KW - Product-integration KW - Asymptotic efficiency KW - Semi-parametric random censorship model KW - Censored data KW - Survival analysis Y1 - 2016 U6 - http://dx.doi.org/10.1016/j.jmva.2016.02.008 IS - 147 SP - 273 EP - 284 PB - Elsevier CY - Amsterdam ER - TY - JOUR A1 - Dikta, Gerhard T1 - Semi-parametric random censorship models JF - From Statistics to Mathematical Finance : Festschrift in Honour of Winfried Stute Y1 - 2017 SN - 978-3-319-50986-0 U6 - http://dx.doi.org/10.1007/978-3-319-50986-0_3 SP - 43 EP - 56 PB - Springer CY - Berlin ER - TY - CHAP A1 - Kern, Alexander A1 - Dikta, Gerhard T1 - Probability of damage of electrical and electronic systems due to indirect lightning flashes - investigation of data from German insurance companies N2 - 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. KW - Blitzschutz KW - lightning flash Y1 - 2009 ER - TY - JOUR A1 - Forst, Thomas A1 - Karagiannis, E. A1 - Lübben, G. A1 - Hohberg, C. A1 - Schöndorf, T. A1 - Dikta, Gerhard A1 - Drexler, M. A1 - Morcos, M. A1 - Dänschel, W. A1 - Borchert, M. A1 - Pfützner, A. T1 - Pleiotrophic and anti-inflammatory effects of pioglitazone precede the metabolic activity in type 2 diabetic patients with coronary artery disease JF - Atherosclerosis. 197 (2008), H. 1 Y1 - 2008 U6 - http://dx.doi.org/10.1016/j.atherosclerosis.2007.05.006 SN - 0021-9150 SP - 311 EP - 317 ER -