A new lifetime distribution with increasing and upside-down bathtub shapes of the hazard rate is introduced. It arises by compounding the Poisson and half-logistic distributions and can be applied in a series system and competing risks model. Some mathematical properties of the new distribution are investigated. Based on progressive type-II censoring, the maximum likelihood, moments and probability weighted moments estimation methods for the involved parameters are considered and compared through a simulation study. The asymptotic confidence intervals for the parameters are also obtained based on asymptotic variance-covariance matrix. Finally, a real data set is used to compare the new distribution with two lifetime distributions. The comparison shows that the new distribution is better to fit the data than the other two distributions.

progressive type-II censoring, Poisson and half-logistic distributions, maximum likelihood estimation, moments and probability weighted moments estimations, simulation.