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What is Tolerant Testing of Imprecise Hypotheses about?

This document discusses the framework of tolerant testing for imprecise hypotheses in statistical hypothesis testing, focusing on the trade-off between the size of the neighborhood around a candidate distribution and the power of the test. It characterizes this trade-off in various models, including the Gaussian sequence model and nonparametric settings, and highlights the suboptimality of classical tests like the χ2-statistic. The authors aim to develop methods that account for systematic uncertainties in

Author

deleader243

Language

EN