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Journals ACM SIGACT News Volume 33 Issue 2

When we have only interval ranges x i , x i of sample values x 1 ,…, x n , what is the interval V, V of possible values for the variance V of these values? We prove that the problem of computing the upper bound V is NP-hard. We provide a feasible (quadratic time) algorithm for computing the lower bound V on the variance of interval data. We also provide a feasible algorithm that computes V under reasonable easily verifiable conditions.

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Computing variance for interval data is NP-hard

Ferson, Scott; Ginzburg, Lev; Kreinovich, Vladik; Longpré, Luc; Aviles, Monica
ACM SIGACT News , Volume 33 (2)
Association for Computing Machinery – Jun 1, 2002

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