Why intervals? A simple limit theorem that is similar to limit theorems from statistics
type: Item
instance of: scholarly article
title: Why intervals? A simple limit theorem that is similar to limit theorems from statistics
zbMATH Open document ID: 0831.65053
DOI: 10.1007/BF02390520
published in: Reliable Computing
publication date: 1995-01-01T00:00:00Z
review text: Assuming that an error \(e\) is a sum of a large number of independent component errors, it is shown that the set \(E\) of its possible values is close to an interval \(\overline {E}\). The smaller the components are, the smaller is the Hausdorff distance between \(E\) and \(\overline{E}\). This constitutes an analogy with limit theorems of mathematical statistics and justifies the use of intervals in data processing.
Mathematics Subject Classification ID: 65G30
Mathematics Subject Classification ID: 60F05
zbMATH DE Number: 803786
zbMATH Keywords: values of an error
zbMATH Keywords: interval analysis
zbMATH Keywords: Hausdorff distance
zbMATH Keywords: limit theorems
zbMATH Keywords: data processing
author: Vladik Kreinovich
reviewed by: Günter Mayer
MaRDI profile type: Publication
cites work: Q3994368
cites work: Q3744970
cites work: Q5829358
cites work: Q3781944
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description: scientific article; zbMATH DE number 803786