Abstract
Expressions for the entropy, the Kullback-Leibler information, and the I α-information are established for distributions of progressively Type-II censored order statistics. These results are used to identify minimum and maximum information censoring plans. In particular, we find minimum and maximum entropy plans for DFR, exponential, Pareto, reflected power, and Weibull distributions. The results for Kullback-Leibler and I α-information hold for any continuous distribution.
Acknowledgment
We are grateful to two anonymous referees and an Associate Editor whose comments led to an improved presentation.