On empirical meaning of randomness with respect to a real parameter

Details On empirical meaning of randomness with respect to a real parameter On empirical meaning of randomness with respect to a real parameter

2008-06-27

arxiv.org/abs/0806.4484v2

LNCS 4649, pp. 387-396, 2007

Computer Science

Learning

14 pages

Scientific paper

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.

Affiliated with

Also associated with

No associations

Rating

On empirical meaning of randomness with respect to a real parameter does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with On empirical meaning of randomness with respect to a real parameter, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On empirical meaning of randomness with respect to a real parameter will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-692732