On a conjecture concerning the sum of independent Rademacher random variables

Details On a conjecture concerning the sum of independent Rademacher random variables On a conjecture concerning the sum of independent Rademacher random variables

2011-12-21

arxiv.org/abs/1112.4988v1

Mathematics

Probability

12 pages, 3 references, 6 tables

Scientific paper

It is shown that at least 50% of the probability mass of a sum of independent Rademacher random variables is within one standard deviation from its mean. This lower bound is sharp, it is much better than for instance the bound that can be obtained from application of the Chebishev inequality and the bound will have nice applications in finite sampling theory and in random walk theory. This old conjecture is of interest in itself, but has also an appealing reformulation in probability theory and in geometry.

Affiliated with

Also associated with

No associations

Rating

On a conjecture concerning the sum of independent Rademacher random variables 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 a conjecture concerning the sum of independent Rademacher random variables, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On a conjecture concerning the sum of independent Rademacher random variables will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-191626