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math.ST2025
Exchangeability and randomness for infinite and finite sequences
Vladimir Vovk
Randomness (in the sense of being generated in an IID fashion) and exchangeability are standard assumptions in nonparametric statistics and machine learning, and relations between…
math.ST2024
The power of forgetting in statistical hypothesis testing
Vladimir Vovk
This paper places conformal testing in a general framework of statistical hypothesis testing. A standard approach to testing a composite null hypothesis is to test each of its…
math.ST2023
Asymptotic uniqueness in long-term prediction
Vladimir Vovk
This paper establishes the asymptotic uniqueness of long-term probability forecasts in the following form. Consider two forecasters who repeatedly issue probability forecasts for t…