  This paper takes into account the estimation for the two unknown parameters
of the Chen distribution with bathtub-shape hazard rate function under the
improved adaptive Type-II progressive censored data. Maximum likelihood
estimation for two parameters are proposed and the approximate confidence
intervals are established using the asymptotic normality. Bayesian estimation
are obtained under the symmetric and asymmetric loss function, during which the
importance sampling and Metropolis-Hastings algorithm are proposed. Finally,
the performance of various estimation methods is evaluated by Monte Carlo
simulation experiments, and the proposed estimation method is illustrated
through the analysis of a real data set.
