Abstract
The extropy measure is a complementary dual function of Shannon entropy which was proposed by Lad et al. Extropy: complementary dual of entropy. Stat Sci. 2015;30:40-58. This measure of uncertainty have received a considerable attention in the last five years. In this paper, several methods of estimation for the extropy and entropy measures based a progressively Type-II censored data are derived. Simulation studies have been performed to see the effectiveness of the proposed methods, and two real data sets have been analysed for illustrative purposes. Extropy and entropy-based tests of uniformity are also proposed along with their simulated critical values. The power values of the proposed tests are simulated and studied under various alternatives.