Preliminary Test Estimation in Two-parameter Exponential Model Under Progressively Type-II Censoring

Document Type : Original Paper



In this paper, the preliminary test estimators for the location and scale parameters of the two-parameter
exponential model are presented based on progressively Type II censored samples. The biases and mean squared
errors of the proposed estimators are given. It is shown that the proposed estimators dominate the corresponding
classical estimators in the neighborhood of null hypothesis. We also provide the range of the parameters for which
the proposed estimators dominate the corresponding classical estimators for different sample sizes and level of
significance. Finally, a numerical example is given to illustrate the results.


Main Subjects

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