Universiteit Leiden

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Dissertation

E-values for anytime-valid inference with exponential families

Traditional hypothesis testing requires researchers to set a fixed sample size in advance. After collecting data, the test determines whether to reject the null hypothesis.

Author
Y. Hao
Date
18 February 2025
Links
Thesis in Leiden Repository

In contrast, modern approaches like anytime-valid tests (e.g., methods based on e-values and e-processes) provide greater flexibility. These methods allow researchers to assess evidence continuously as data is gathered, eliminating the need for a pre-determined sample size. E-values, in particular, do not require predefined stopping rules for the experiment. This dissertation focuses on the application of e-values and e-processes within exponential families.

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