The Korean Journal of Applied Statistics (응용통계연구)

The Korean Statistical Society (한국통계학회)
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A Comparison Study of Survival Regression Models Based on Data Depths

뎁스를 이용한 생존회귀모형들의 비교연구

  • Kim, Jee-Yun (Statistical Research Center for Complex Systems, Seoul university) ;
  • Hwang, Jin-Soo (Department of Statistics Inha University)
  • 김지연 (서울대학교 복잡계통계연구센터) ;
  • 황진수 (인하대학교 통계학과)
  • Published : 2007.07.31
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Abstract

Several robust censored depth regression methods are compared under contamination. Park and Hwang(2003) suggested a way to circumvent the censoring issue by incorporating Kaplan-Meier type weight in halfspace regression depth and Park(2003) used a similar technique to simplicial regression depth. Hubert et al. (2001) suggested a high breakdown point regression depth based on projection called rcent. A new method to implement censoring in rcent is suggested and compared with two precedents under various contamination and censoring schemes.

오염이 있는 생존자료에서 여러 가지 회귀뎁스(regression depth)를 비교 연구하였다. 중도절단 자료에서 회귀뎁스에 대한 정의는 Park과 Hwang(2003)의 반공간회귀뎁스(halfspace regression depth)와 Park(2003)의 심플리셜 회귀뎁스(simplicial regression depth)가 있다. 본 논문은 Hubert 등(2001)이 제안한 사영회귀뎁스(projection regression depth)를 생존자료에서 사용하는 방법을 제시하고 이 방법과 기존의 뎁스기반 회귀모형과의 비교를 다양한 오염 상황에서 실시하였다.

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References

  1. 김지연, 황진수, 김진경. (2004). 다양한 오염 상황에서의 여러 로버스트 회귀추정량의 비교 연구, <응용통계연구>, 17, 475-488
  2. Chang, W. H., Mckean, J. W., Naranjo, J. D. and Sheather, S. J. (1999). High-breakdown rank regression, Journal of the American Statistical Association, 94, 205-219 https://doi.org/10.2307/2669695
  3. Gross, S. T. and Lai, T. L. (1996). Nonparametric estimation and regression analysis with left-truncated and right-censored data, Journal of the American Statistical Association, 91, 1166-1180 https://doi.org/10.2307/2291735
  4. Hubert, M., Rousseeuw, P. J. and Van Aelst, S. (2001). Similarities between location depth and regression depth, Trends in Mathematics, 159-172
  5. Miller, R. (1981). Survival Analysis, Wiley, New York
  6. Park, J. (2003). Simplicial regression depth with censored and truncated data, The Korean Communications in Statistics, 10, 167-175 https://doi.org/10.5351/CKSS.2003.10.1.167
  7. Park, J. and Hwang, J. (2003). Regression depth with censored and truncated data, Communications in Statistics. Theory and Methods, 32, 997-1008 https://doi.org/10.1081/STA-120019958
  8. Rousseeuw, P. J. and Hubert, M. (1999). Regression depth, Journal of the American Statistical Association, 94, 388-402 https://doi.org/10.2307/2670155
  9. Thkey, J. W. (1975). Mathematics and the picturing of data, In Proceedings of the International Congress of Mathematicians, Vancouver, 2, 523-531