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Computing Variance under Interval Uncertainty: An Example of an NP-Hard Problem

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Computing Statistics under Interval and Fuzzy Uncertainty

Part of the book series: Studies in Computational Intelligence ((SCI,volume 393))

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Formulation and Analysis of the Problem

Formulation of the problem: reminder. In many practical applications, we need to estimate the sample variance V = \(\frac{1}{n}\) · \(\sum\limits^{n}_{i=1}{(x_{i} - E)}^{2}\), where E = \(\frac{1}{n}\) · \(\sum\limits^{n}_{i=1}\) x i .

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Nguyen, H.T., Kreinovich, V., Wu, B., Xiang, G. (2012). Computing Variance under Interval Uncertainty: An Example of an NP-Hard Problem. In: Computing Statistics under Interval and Fuzzy Uncertainty. Studies in Computational Intelligence, vol 393. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-24905-1_14

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  • DOI: https://doi.org/10.1007/978-3-642-24905-1_14

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-24904-4

  • Online ISBN: 978-3-642-24905-1

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