TY  - BOOK
A1  - Dikta, Gerhard
T1  - Beiträge zur nichtparametrischen Schätzung der Regressionsfunktion
Y1  - 1987
N1  - Gießen, Univ., Diss.
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
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
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
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  - 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  - https://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
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  - https://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  - https://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  - https://doi.org/10.1007/978-3-319-50986-0_3
SP  - 43
EP  - 56
PB  - Springer
CY  - Berlin
ER  - 
TY  - CHAP
A1  - Hingley, Peter
A1  - Dikta, Gerhard
T1  - Finding a well performing box-jenkins forecasting model for annualised patent filings counts
T2  - International Symposium on Forecasting, Thessaloniki, Greece, June 2019
Y1  - 2019
ER  -