Permutation procedures with censored data
This paper extends the permutation procedures for truncated data in Diaconis et al. (http://www-stat.stanford.edu/? ? susan/.) to doubly censored data. As in Diaconis et al. (http://www-stat.stanford.edu/? ? susan/.), the proposed procedure is based on samples from the conditional distribution of rank statistics which is uniformly distributed on a set of permutations. Subsequently, our procedure is applied to testing independence with bivariate censored data and estimating a regression coefficient with doubly censored data. Also, when estimating a regression coefficient with doubly censored data, simulation studies show that the proposed procedure is superior to that of Akritas et al. (J. Amer. Statist. Assoc. 90 (1995) 170).
permutation testing independence bivariate censored data kendalls tau statistics theilsen estimator