Spheres and Minima

Details Spheres and Minima Spheres and Minima

2003-05-18

arxiv.org/abs/math/0305252v1

Mathematics

Probability

Scientific paper

We write down a one-dimensional integral formula and compute large-n asymptotics for the expectation of the absolute value of the smallest component of a unit vector in n-dimensional Euclidean space. The method is general, and allows to write the mean over the sphere of an homogeneous function in terms of an expectation of a function of independent, identically distributed Gaussians. We also write down an asymptotic formula for the minimum of a large number of identical independent positive random variables.

Affiliated with

Also associated with

No associations

Rating

Spheres and Minima 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 Spheres and Minima, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Spheres and Minima will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-604286