期刊
INFORMATION AND COMPUTATION
卷 206, 期 12, 页码 1375-1382出版社
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.ic.2008.08.003
关键词
Martin-Lof randomness; Conditional probability; Fubini's theorem; Relativized randomness; Kolmogorov complexity
We study a universal Martin-Lof test with respect to a computable probability on a product space. Then, we define random sequences with respect to a conditional probability by using a section of the set of random points of product space. We show that (1) our definition is consistent with Fubini's theorem, and (2) it is equivalent to the relative notion of randomness under a condition. This is an extension of Lambalgen's theorem (1987) to a correlated probability. (C) 2008 Elsevier Inc. All rights reserved.
作者
我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。
推荐
暂无数据