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All Sampling Methods Produce Outliers.
- Source :
- IEEE Transactions on Information Theory; Nov2021, Vol. 67 Issue 11, p7568-7578, 11p
- Publication Year :
- 2021
-
Abstract
- Given a computable probability measure $P$ over natural numbers or infinite binary sequences, there is no computable, randomized method that can produce an arbitrarily large sample such that none of its members are outliers of $P$. In addition, given a binary predicate $\gamma $ , the length of the smallest program that computes a complete extension of $\gamma $ is less than the size of the domain of $\gamma $ plus the amount of information that $\gamma $ has with the halting sequence. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00189448
- Volume :
- 67
- Issue :
- 11
- Database :
- Complementary Index
- Journal :
- IEEE Transactions on Information Theory
- Publication Type :
- Academic Journal
- Accession number :
- 153710518
- Full Text :
- https://doi.org/10.1109/TIT.2021.3109779