Abstract:

This paper obtains the new point estimate and interval estimate for the two-parameter Burr type XII distribution based on the progressively type II censored sample. Using Monte Carlo method, we compare the proposed estimators with the maximum likelihood estimators. The simulation results show that the proposed estimators outperform the maximum likelihood
estimators. Finally, a numerical example is presented to illustrate the methods discussed in this paper.

Key words: Burr type XII distribution, Progressively type II censored sample, Point estimation, Confidence interval