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On the concept of Bernoulliness

2016/12/28 by Vladimir Vovk, Vovk, Vladimir
Computer Science · #Computability, Logic, AI Algorithms #semigroups and automata theory #Algorithms and Data Compression

paper · pdf · doi:10.48550/arxiv.1612.08859

Abstract

The first part of this paper is another English translation of a 1986 note. It gives a natural definition of a finite Bernoulli sequence (i.e., a typical realization of a finite sequence of binary IID trials) and compares it with the Kolmogorov--Martin-Lof definition, which is interpreted as defining exchangeable sequences. The appendix gives the historical background and proofs.

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