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- W2952952221 abstract "We study the empirical meaning of randomness with respect to a family of probability distributions $P_theta$, where $theta$ is a real parameter, using algorithmic randomness theory. In the case when for a computable probability distribution $P_theta$ an effectively strongly consistent estimate exists, we show that the Levin's a priory semicomputable semimeasure of the set of all $P_theta$-random sequences is positive if and only if the parameter $theta$ is a computable real number. The different methods for generating ``meaningful'' $P_theta$-random sequences with noncomputable $theta$ are discussed." @default.
- W2952952221 created "2019-06-27" @default.
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- W2952952221 date "2008-06-27" @default.
- W2952952221 modified "2023-09-27" @default.
- W2952952221 title "On empirical meaning of randomness with respect to a real parameter" @default.
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- W2952952221 hasPublicationYear "2008" @default.
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