In many life-testing and reliability studies, the experimenter might not always obtain complete information on failure times for all experimental units. One of the most common censoring schemes is progressive type-II censoring. The aim of this paper is characterizing the parent distributions based on Shannon entropy of progressive type-II censored order statistics. It is shown that the equality of the Shannon information in progressive type-II censored order statistics can determine uniquely the parent distribution. We establish some characterization through the difference of Shannon entropy of the parent distribution and respective progressive type-II censored order statistics. We also prove that the dispersive ordering of the parent distributions implies the entropy ordering of their respective progressive type-II censored order statistics.

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