TY  - JOUR
A1  - Dikta, Gerhard
T1  - Weak Representation of the Cumulative Hazard Function under Semiparametric Random Censorship Models
JF  - Statistics. 35 (2001), H. 4
Y1  - 2001
SN  - 0233-1888
SP  - 395
EP  - 410
ER  - 
TY  - JOUR
A1  - Dikta, Gerhard
T1  - Time series methods to forecast patent filings
JF  - Forecasting innovations : methods for predicting numbers of patent filings ; with 71 tables / Peter Hingley ; Marc Nicolas (ed.),
Y1  - 2006
SN  - 978-3-540-35991-3
U6  - http://dx.doi.org/10.1007/3-540-35992-3_6
N1  - ISBN 3-540-35991-5
SP  - 95
EP  - 124
PB  - Springer
CY  - Berlin [u.a.]
ER  - 
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  -