Information Loss from Type I versus Type II Censoring



Lim, Jo-Han;Song, Hyun-Seok;Lee, Sung-Im

  • 발행 : 2006.08.31


If the completely observed data are assumed to have full information, the censoring causes the loss of information. Previous studies have introduced the indices of information loss via measuring relative changes between the data with censoring and without censoring. In this paper, the comparisons are made for the information loss between type I and type II censoring in two sample problems.


Information loss;Kendall's tau;Partial likelihood


  1. Brooks, R.J. (1982), On the loss of information from censoring. Biometrika, Vol. 69, 137-144
  2. Chaloner, K. and Verdinelli, I. (1995), Bayesian Experimental Design: A Review. Statistical Science., Vol. 10, 237-304
  3. Cox, D.R. (1975). Partial likelihood. Biometrika, Vol. 62, 269-276
  4. Epstein, B. and Sobel, M. (1953). Life Testing. Journal of the American Statistical Association, Vol. 48, 486-502
  5. Kendall, M.(1948). Rank Correlation Methods, Charles Griffin & Company Limited
  6. Lindley, D.V. (1956), On a measure of the information provided by an experiment. Annals of Mathmatical Statistics., Vol. 27, 986-1005
  7. Lim, J., Lee, S. and Choi, H. (2006). Information loss from censoring in rank based procedures, preprint
  8. Oakes, D. (1982). A concordance test for independence in the presence of censoring. Biometrics, Vol. 38, 451-455
  9. Shannon, C.E. (1948), A mathematical theory of communication. Bell System Technical Journal, Vol. 27, 379-423
  10. Sundberg, R. (2001). Comparison of confidence procedures for Type I censored exponential lifetimes. Lifetime Data Analysis, Vol. 7, 393-413
  11. Tseng, S. and Hsu, C. (1994). Comparison of Type I- & Type-II accelerated life tests for selecting the most reliable product. IEEE Transactions on reliability, Vol. 43, 503-510
  12. Tse, S.k. and Tso, G. (1996). Efficiencies of Maximum Likelihood Estimators under Censoring in Life Testing. Journal of Applied Statistics, Vol. 23, 515-524
  13. Turrero, A. (1989), On the relative efficiency of grouped and censored survival data. Biometrika, Vol. 76, 125-131
  14. Ebrahimi, N. and Soofi, E.S. (1990). Relative information loss under type II censored exponential data. Biometrika, Vol. 77, 429-435