Exact confidence interval for the generalized inverted exponential distribution with progressively censored data

In this article,the estimation of parameters for a generalized inverted exponential (gie) distribution based on progressively type-ii censored sample is studied. the maximum likelihood estimators (mles) are developed for estimating the unknown parameters. an exact confidence interval and exact joint confidence region are constructed. monte carlo simulations are then performed for comparing the confidence intervals based on complete and censored samples. furthermore,because of the great importance of prediction in engineering data,conditional median predictor method is considered to obtain the point prediction of future observation based on progressively type-ii censored sample. finally,a real data set is used to illustrative purposes.