A two sample wilcoxon test for progressively censored data

Key Points

• The study aims to propose and evaluate a two sample Wilcoxon type statistic for serially observing data until statistical significance is achieved.
• Proposing a Wilcoxon type statistic for progressively censored data with early termination based on significance.
• Conducting Monte Carlo experiments to compare the proposed statistic with another Wilcoxon type statistic from Halperin and Ware.
• Evaluating the asymptotic null distribution of the proposed statistic and its effectiveness when pN > 60.
• Simulation studies show the proposed statistic has a useful asymptotic distribution for scenarios where pN > 60.
• Monte Carlo experiments suggest the new statistic may outperform traditional methods under specific conditions.