TY  - BOOK
A1  - Dikta, Gerhard
T1  - Beiträge zur nichtparametrischen Schätzung der Regressionsfunktion
Y1  - 1987
N1  - Gießen, Univ., Diss.
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  - Bootstrap Approximation of Nearest Neighbor Regression Function Estimates
JF  - Journal of Multivariate Analysis. 32 (1990), H. 2
Y1  - 1990
SN  - 0047-259X
SP  - 213
EP  - 229
ER  - 
TY  - JOUR
A1  - Dikta, Gerhard
T1  - Asymptotic Normality Under the Koziol-Green Model
JF  - Communications in Statistics: Theory and Methods. 24 (1995), H. 6
Y1  - 1995
SN  - 0361-0926
SP  - 1537
EP  - 1549
ER  - 
TY  - JOUR
A1  - Dikta, Gerhard
T1  - A Note on the Rate of Convergence of the Bootstrap
JF  - Journal of Approximation Theory. 75 (1993), H. 1
Y1  - 1993
SN  - 0021-9045
SP  - 112
EP  - 114
ER  - 
TY  - JOUR
A1  - Dikta, Gerhard
T1  - On Semiparametric Random Censorship Models
JF  - Journal of Statistical Planning and Inference. 66 (1998), H. 2
Y1  - 1998
SN  - 0378-3758
SP  - 253
EP  - 279
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
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  - 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  - CHAP
A1  - Dikta, Gerhard
T1  - Fundamentals of applied probability and basic statistics
T2  - Critical care nephrology / [Hrsg.:] Claudio Ronco and Rinaldo Bellomo
Y1  - 1998
SN  - 978-94-010-6306-7
SP  - 51
EP  - 61
PB  - Springer
CY  - Dordrecht
ER  - 
TY  - JOUR
A1  - Dikta, Gerhard
T1  - Asymptotically efficient estimation under semi-parametric random censorship models
JF  - Journal of multivariate analysis
N2  - 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.
Y1  - 2014
U6  - http://dx.doi.org/10.1016/j.jmva.2013.10.002
SN  - 1095-7243 (E-Journal); 0047-259X (Print)
VL  - 124
SP  - 10
EP  - 24
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  - 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  - Ghorai, J. K.
T1  - Bootstrap Approximation with Censored Data under the Proportional Hazard Model
JF  - Communications in Statistics: Theory and Methods. 19 (1990), H. 2
Y1  - 1990
SN  - 0361-0926
SP  - 573
EP  - 581
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
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  - Kvesic, Marsel
A1  - Schmidt, Christian
T1  - Bootstrap Approximations in Model Checks for Binary Data
JF  - Journal of the American Statistical Association. 101 (2006), H. 474
Y1  - 2006
SN  - 0162-1459
SP  - 521
EP  - 530
ER  - 
TY  - JOUR
A1  - Dikta, Gerhard
A1  - Kühlheim, René
A1  - Mendonca, Jorge
A1  - Una-Alcarez, Jacobo de
T1  - Asymptotic representation of presmoothed Kaplan–Meier integrals with covariates in a semiparametric censorship model
JF  - Journal of Statistical Planning and Inference
Y1  - 2015
U6  - http://dx.doi.org/10.1016/j.jspi.2015.12.001
SN  - 0378-3758
VL  - Vol. 171
SP  - 10
EP  - 37
PB  - Elsevier
CY  - Amsterdam
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  -