In this article, based on progressively type-II censored order statistics, we create bal- anced con dence regions (BCR) and optimal con dence regions (OCR) for the parameters of an inverted exponentiated Pareto (IEP) distribution. Constraint optimization problem and nonlinear programmings methods are used in order to construct OCRs. Monte Carlo simulation studies are used to evaluate the performance of the methods proposed in this paper. Finally, a numerical example is presented to illustrate the proposed regions.
