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Controlling Type-I Error Rate in Monitoring Structural Changes Using Partially Sequential Procedures
Authors:Uttam Bandyopadhyay  Atanu Biswas
Affiliation:1. Department of Statistics , University of Calcutta , Kolkata, India;2. Applied Statistics Unit , Indian Statistical Institute , Kolkata, India
Abstract:In the present article, we develop some asymptotically power on partially sequential nonparametric tests for monitoring structural changes. Our test procedures are based on Wilcoxon score. We use the idea of curved stopping boundaries. We derive some exact results and perform simulation studies to provide various properties of the tests. We see that one of the proposed procedures significantly controls the Type I error rate. This procedure may be very effective for fluctuation monitoring. We illustrate the procedures by using real life data from the stock market.
Keywords:Controlling Type-I error rate  Curved stopping boundaries  Monitoring structural changes  Partially sequential sampling  Wilcoxon score
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