=+22. Suppose that v1,...,vn Rm have Euclidean norms vi2 1. Let Y1,...,Yn be independent random

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=+22. Suppose that v1,...,vn ∈ Rm have Euclidean norms vi2 ≤ 1. Let Y1,...,Yn be independent random variables uniformly distributed on the two-point set {−1, 1}. If Z = Y1v1 + ··· + Ynvn2, then prove that Pr[Z − E(Z) ≥ λ

√n] ≤ e− λ2 8 .

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Applied Probability

ISBN: 9781441971647

2nd Edition

Authors: Kenneth Lange

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Question Posted: Nov 01, 2024 04:00 AM

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=+22. Suppose that v1,...,vn Rm have Euclidean norms vi2 1. Let Y1,...,Yn be independent random

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Applied Probability

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