Yıl 2019, Cilt 20 , Sayı , Sayfalar 1 - 12 2019-12-16

SEMIPARAMETRIC REGRESSION ESTIMATES BASED ON SOME TRANSFORMATION TECHNIQUES FOR RIGHT-CENSORED DATA

Dursun AYDIN [1] , Ersin YILMAZ [2]


In this paper, we introduce three different data transformation approaches such as synthetic data transformation ([1]; [2]; [3]), Kaplan-Meier weights ([4];  [5] ; [6]) and k-nearest neighbour (kNN) imputation method ([7]) which are commonly used in censored data applications. The aforementioned approaches are particularly useful when one deals with censored data. The key idea expressed here is to find the smoothing spline estimates for the parametric and nonparametric components of a semiparametric regression model with right-censored data. The estimation is then carried out based on the modified (or transformed) data set obtained via these transformation techniques. In order to compare the outcomes of three approaches in semi-parametric regression setting, we carried out a simulation study. According to the results of the simulation, it can be said that the Kaplan-Meier weights have been very successful in dealing with censored observations.
right-censored, semi-parametric regression, imputation, synthetic data, Kaplan-Meier weights
  • [1] J. Buckley, I. James, Linear Regression with Censored Data, Biometrika, 66(3), 429-436, 1979[2] H. Koul, V. Susarla, J. Van Ryzin, Regression Analysis with Randomly Right-Censored Data, The Annals of Statistics, 1276-1285, 1981.[3] S. Leurgans, Linear Models, Random Censoring and Synthetic Data, Biometrika, 74, 301-309, 1987.[4] E.L. Kaplan, P. Meier, Nonparametric Estimation from Incomplete Observations, Journal of the American Statistical Association, 53(282), 457-481, 1958.[5] R.G. Miller, Least Squares Regression with Censored Data, Biometrika, 63, 449-464, 1976.[6] W. Stute, Consistent Estimation under Random Censorship when Covariables are Present, Journal of Multivariate Analysis, 45, 89-103, 1993.[7] G.E.A.P.A. Batista and M.C. Monard, K-Nearest Neighbour as an Imputation Method: Experimental Results, Technical Report, ICMC-USP, ISSN-0103-2569, 2002.[8] W. Stute, The Central Limit Theorem under Random Censorship. The Annals of Statistics, 2, 422-439, 1995.[9] W. Stute, Nonlinear Censored Regression, Statistica Sinica, 9, 1089-1102, 1999.[10] O. Troyanskaya, M. Cantor, Sherlock, G., P. Brown, T. Hastie, R. Tibshirani, D. Botstein, R.B. Altman, Missing value estimation methods for DNA microarrays, Bioinformatics, 17(6), 520-525, 2001.[11] P.J. Green, B.W. Silverman, Nonparametric Regression and Generalized Linear Model, Chapman & Hall, 1994.[12] C.M. Hurvich, S. Simonoff, S. and C.L. Tsai, Smoothing Parameter Selection in Nonparametric Regression using an Improved Akaike Information Criterion. Journal of Royal Statistical Society B, 60(2), 271-293, 1998.[13] D. Aydın, E. Yılmaz, Modified Spline Regression Based on Randomly Right-Censored Data: A Comparison Study, Communication in Statistics-Simulation and Computation, 47(9), 2587-2611, 2018.[14] M. Talamakrouni, A.E. Gouch, I. Van Keilegom, Guided Censored Regression, Scandinavian Journal of Statistics-Theory and Applications, 42(1), 214-233, 2015.
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Orcid: 0000-0001-8393-1270
Yazar: Dursun AYDIN
Kurum: Muğla Sıtkı Koçman University
Ülke: Turkey


Orcid: 0000-0002-9871-4700
Yazar: Ersin YILMAZ (Sorumlu Yazar)
Kurum: Muğla Sıtkı Koçman University
Ülke: Turkey


Tarihler

Yayımlanma Tarihi : 16 Aralık 2019

Bibtex @araştırma makalesi { estubtda632694, journal = {Eskişehir Technical University Journal of Science and Technology A - Applied Sciences and Engineering}, issn = {2667-4211}, address = {btda@anadolu.edu.tr}, publisher = {Eskişehir Teknik Üniversitesi}, year = {2019}, volume = {20}, pages = {1 - 12}, doi = {10.18038/estubtda.632694}, title = {SEMIPARAMETRIC REGRESSION ESTIMATES BASED ON SOME TRANSFORMATION TECHNIQUES FOR RIGHT-CENSORED DATA}, key = {cite}, author = {Aydın, Dursun and Yılmaz, Ersin} }
APA Aydın, D , Yılmaz, E . (2019). SEMIPARAMETRIC REGRESSION ESTIMATES BASED ON SOME TRANSFORMATION TECHNIQUES FOR RIGHT-CENSORED DATA . Eskişehir Technical University Journal of Science and Technology A - Applied Sciences and Engineering , 20 () , 1-12 . DOI: 10.18038/estubtda.632694
MLA Aydın, D , Yılmaz, E . "SEMIPARAMETRIC REGRESSION ESTIMATES BASED ON SOME TRANSFORMATION TECHNIQUES FOR RIGHT-CENSORED DATA" . Eskişehir Technical University Journal of Science and Technology A - Applied Sciences and Engineering 20 (2019 ): 1-12 <https://dergipark.org.tr/tr/pub/estubtda/issue/50600/632694>
Chicago Aydın, D , Yılmaz, E . "SEMIPARAMETRIC REGRESSION ESTIMATES BASED ON SOME TRANSFORMATION TECHNIQUES FOR RIGHT-CENSORED DATA". Eskişehir Technical University Journal of Science and Technology A - Applied Sciences and Engineering 20 (2019 ): 1-12
RIS TY - JOUR T1 - SEMIPARAMETRIC REGRESSION ESTIMATES BASED ON SOME TRANSFORMATION TECHNIQUES FOR RIGHT-CENSORED DATA AU - Dursun Aydın , Ersin Yılmaz Y1 - 2019 PY - 2019 N1 - doi: 10.18038/estubtda.632694 DO - 10.18038/estubtda.632694 T2 - Eskişehir Technical University Journal of Science and Technology A - Applied Sciences and Engineering JF - Journal JO - JOR SP - 1 EP - 12 VL - 20 IS - SN - 2667-4211- M3 - doi: 10.18038/estubtda.632694 UR - https://doi.org/10.18038/estubtda.632694 Y2 - 2019 ER -
EndNote %0 Eskişehir Technical University Journal of Science and Technology A - Applied Sciences and Engineering SEMIPARAMETRIC REGRESSION ESTIMATES BASED ON SOME TRANSFORMATION TECHNIQUES FOR RIGHT-CENSORED DATA %A Dursun Aydın , Ersin Yılmaz %T SEMIPARAMETRIC REGRESSION ESTIMATES BASED ON SOME TRANSFORMATION TECHNIQUES FOR RIGHT-CENSORED DATA %D 2019 %J Eskişehir Technical University Journal of Science and Technology A - Applied Sciences and Engineering %P 2667-4211- %V 20 %N %R doi: 10.18038/estubtda.632694 %U 10.18038/estubtda.632694
ISNAD Aydın, Dursun , Yılmaz, Ersin . "SEMIPARAMETRIC REGRESSION ESTIMATES BASED ON SOME TRANSFORMATION TECHNIQUES FOR RIGHT-CENSORED DATA". Eskişehir Technical University Journal of Science and Technology A - Applied Sciences and Engineering 20 / (Aralık 2019): 1-12 . https://doi.org/10.18038/estubtda.632694
AMA Aydın D , Yılmaz E . SEMIPARAMETRIC REGRESSION ESTIMATES BASED ON SOME TRANSFORMATION TECHNIQUES FOR RIGHT-CENSORED DATA. Eskişehir Technical University Journal of Science and Technology A - Applied Sciences and Engineering. 2019; 20: 1-12.
Vancouver Aydın D , Yılmaz E . SEMIPARAMETRIC REGRESSION ESTIMATES BASED ON SOME TRANSFORMATION TECHNIQUES FOR RIGHT-CENSORED DATA. Eskişehir Technical University Journal of Science and Technology A - Applied Sciences and Engineering. 2019; 20: 1-12.