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Mean Width of a Regular Simplex

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arxiv 1111.4976 v2 pith:KOMM4LV4 submitted 2011-11-21 math.MG math.PR

Steven R. Finch This is my paper · ORCID
classification math.MGmath.PR
keywords meanwidthregularconsequenceanotherappearedasymptoticsavailable
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The mean width is a measure on n-dimensional convex bodies. An integral formula for the mean width of a regular n-simplex appeared in the electrical engineering literature in 1997. As a consequence, expressions for the expected range of a sample of n+1 normally distributed variables, for n<=6, carry over to widths of regular n-simplices. As another consequence, precise asymptotics for the mean width become available as n->infty.

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Cited by 1 Pith paper

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  1. Moments of Maximum: Segment of AR(1)

    math.HO 2019-08 conditional novelty 4.0 of 10

    For a stationary AR(1) process, the expected value of the maximum of short contiguous segments is maximized at negative serial correlation, and the variance of the maximum increases monotonically with correlation.

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