The extensions of the entropy and Kullback–Leibler (KL) information to the cumulative distribution function have been recently studied because they are well defined on the empirical distribution function. In this paper, we generalize the extended KL information to the censored case and propose a censored cumulative residual KL information. We estimate the censored cumulative residual KL information based on the empirical distribution function and evaluate its performance as a goodness of fit test statistic for the censored data.
Bibliographical notePublisher Copyright:
© 2014, Springer-Verlag Berlin Heidelberg.
All Science Journal Classification (ASJC) codes
- Statistics and Probability
- Statistics, Probability and Uncertainty