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On The Problem of Variability of Interval Data

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    0385695 - ÚI 2013 RIV CZ eng J - Journal Article
    Finěk, V. - Matonoha, Ctirad
    On The Problem of Variability of Interval Data.
    ACC JOURNAL. Roč. 18, č. 4 (2012), s. 76-84. ISSN 1803-9782
    Grant - others:ESF(XE) CZ.1.07/2.3.00/09.0155
    Institutional support: RVO:67985807
    Keywords : interval data * computation of variance * theoretical analysis
    Subject RIV: BA - General Mathematics

    In this contribution we will deal with the problem of variability of interval data. The issue is to find lower and upper bounds for the interval of possible values for the variance of given interval data. This leads to the problem of minimizing/maximizing the sum of squares of the distance between the components of the n-dimensional vector and their average value. As the maximization is more difficult than the minimization, we present here some theoretical results concerning the solution. Furthermore, we introduce preliminary algorithms for solving both problems which take into consideration their special structure.
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    0385695.pdf0548.3 KBAuthor´s preprintopen-access
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