In this paper, the estimation problem (point and interval) is studied under the exponentiated exponential (EE) distribution based on an adaptive progressive type-II censoring scheme. In point estimation, the maximum likelihood estimates (MLE s) and Bayes estimates (BE s), based on squared error (SE) and linear exponential (LINEX) loss functions, are computed. Also, the approximate confidence intervals for the parameters of EE distribution are obtained. A comparison study is made between the BEs and MLEs using the estimated risks (ER
s) criterion. Finally, point and interval estimations of all parameters are studied based on a generated adaptive type-II progressive censoring sample from a real data set as illustrative
example.