Yıl: 2019 Cilt: 20 Sayı: Özel Sayı Sayfa Aralığı: 1 - 12 Metin Dili: İngilizce DOI: 10.18038/estubtda.632694 İndeks Tarihi: 29-09-2020

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

Öz:
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 neighbor (kNN) imputation method ([7]) which are commonly used incensored data applications. The aforementioned approaches are particularly useful when one deals with censored data. The keyidea expressed here is to find the smoothing spline estimates for the parametric and nonparametric components of asemiparametric regression model with right censored data. The estimation is then carried out based on the modified (ortransformed) data set obtained via these transformation techniques. In order to compare the outcomes of three approaches insemi-parametric regression setting, we carried out a simulation study. According to the results of the simulation, it can be saidthat the Kaplan-Meier weights has been very successful in dealing with censored observations.
Anahtar Kelime:

Belge Türü: Makale Makale Türü: Araştırma Makalesi Erişim Türü: Erişime Açık
  • [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.
APA AYDIN D, YILMAZ E (2019). SEMIPARAMETRIC REGRESSION ESTIMATES BASED ON SOME TRANSFORMATION TECHNIQUES FOR RIGHT-CENSORED DATA. , 1 - 12. 10.18038/estubtda.632694
Chicago AYDIN Dursun,YILMAZ Ersin SEMIPARAMETRIC REGRESSION ESTIMATES BASED ON SOME TRANSFORMATION TECHNIQUES FOR RIGHT-CENSORED DATA. (2019): 1 - 12. 10.18038/estubtda.632694
MLA AYDIN Dursun,YILMAZ Ersin SEMIPARAMETRIC REGRESSION ESTIMATES BASED ON SOME TRANSFORMATION TECHNIQUES FOR RIGHT-CENSORED DATA. , 2019, ss.1 - 12. 10.18038/estubtda.632694
AMA AYDIN D,YILMAZ E SEMIPARAMETRIC REGRESSION ESTIMATES BASED ON SOME TRANSFORMATION TECHNIQUES FOR RIGHT-CENSORED DATA. . 2019; 1 - 12. 10.18038/estubtda.632694
Vancouver AYDIN D,YILMAZ E SEMIPARAMETRIC REGRESSION ESTIMATES BASED ON SOME TRANSFORMATION TECHNIQUES FOR RIGHT-CENSORED DATA. . 2019; 1 - 12. 10.18038/estubtda.632694
IEEE AYDIN D,YILMAZ E "SEMIPARAMETRIC REGRESSION ESTIMATES BASED ON SOME TRANSFORMATION TECHNIQUES FOR RIGHT-CENSORED DATA." , ss.1 - 12, 2019. 10.18038/estubtda.632694
ISNAD AYDIN, Dursun - YILMAZ, Ersin. "SEMIPARAMETRIC REGRESSION ESTIMATES BASED ON SOME TRANSFORMATION TECHNIQUES FOR RIGHT-CENSORED DATA". (2019), 1-12. https://doi.org/10.18038/estubtda.632694
APA AYDIN D, YILMAZ E (2019). SEMIPARAMETRIC REGRESSION ESTIMATES BASED ON SOME TRANSFORMATION TECHNIQUES FOR RIGHT-CENSORED DATA. Eskişehir Technical University Journal of Science and and Technology A- Applied Sciences and Engineering, 20(Özel Sayı), 1 - 12. 10.18038/estubtda.632694
Chicago AYDIN Dursun,YILMAZ Ersin SEMIPARAMETRIC REGRESSION ESTIMATES BASED ON SOME TRANSFORMATION TECHNIQUES FOR RIGHT-CENSORED DATA. Eskişehir Technical University Journal of Science and and Technology A- Applied Sciences and Engineering 20, no.Özel Sayı (2019): 1 - 12. 10.18038/estubtda.632694
MLA AYDIN Dursun,YILMAZ Ersin SEMIPARAMETRIC REGRESSION ESTIMATES BASED ON SOME TRANSFORMATION TECHNIQUES FOR RIGHT-CENSORED DATA. Eskişehir Technical University Journal of Science and and Technology A- Applied Sciences and Engineering, vol.20, no.Özel Sayı, 2019, ss.1 - 12. 10.18038/estubtda.632694
AMA AYDIN D,YILMAZ E SEMIPARAMETRIC REGRESSION ESTIMATES BASED ON SOME TRANSFORMATION TECHNIQUES FOR RIGHT-CENSORED DATA. Eskişehir Technical University Journal of Science and and Technology A- Applied Sciences and Engineering. 2019; 20(Özel Sayı): 1 - 12. 10.18038/estubtda.632694
Vancouver AYDIN D,YILMAZ E SEMIPARAMETRIC REGRESSION ESTIMATES BASED ON SOME TRANSFORMATION TECHNIQUES FOR RIGHT-CENSORED DATA. Eskişehir Technical University Journal of Science and and Technology A- Applied Sciences and Engineering. 2019; 20(Özel Sayı): 1 - 12. 10.18038/estubtda.632694
IEEE AYDIN D,YILMAZ E "SEMIPARAMETRIC REGRESSION ESTIMATES BASED ON SOME TRANSFORMATION TECHNIQUES FOR RIGHT-CENSORED DATA." Eskişehir Technical University Journal of Science and and Technology A- Applied Sciences and Engineering, 20, ss.1 - 12, 2019. 10.18038/estubtda.632694
ISNAD AYDIN, Dursun - YILMAZ, Ersin. "SEMIPARAMETRIC REGRESSION ESTIMATES BASED ON SOME TRANSFORMATION TECHNIQUES FOR RIGHT-CENSORED DATA". Eskişehir Technical University Journal of Science and and Technology A- Applied Sciences and Engineering 20/Özel Sayı (2019), 1-12. https://doi.org/10.18038/estubtda.632694