政大機構典藏-National Chengchi University Institutional Repository(NCCUR):Item 140.119/76547

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政大機構典藏 > 理學院 > 應用數學系 > 期刊論文 > Item 140.119/76547

Please use this identifier to cite or link to this item: https://nccur.lib.nccu.edu.tw/handle/140.119/76547

Title:	On-line algorithms for computing mean and variance of interval data, and their use in intelligent systems
Authors:	Kreinovich, V. 吳柏林 Wu, Berlin Nguyen, H.T.
Contributors:	應數系
Keywords:	Algorithms;Data processing;Data reduction;Intelligent systems;Online systems;Statistical process control;Interval data;Mean;On-line data processing;Variance;Computation theory
Date:	2007-08
Issue Date:	2015-07-13 17:11:26 (UTC+8)
Abstract:	When we have only interval ranges [under(x, {combining low line})i, over(xi, -)] of sample values x1, ..., xn, what is the interval [under(V, {combining low line}), over(V, -)] of possible values for the variance V of these values? There are quadratic time algorithms for computing the exact lower bound V on the variance of interval data, and for computing over(V, -) under reasonable easily verifiable conditions. The problem is that in real life, we often make additional measurements. In traditional statistics, if we have a new measurement result, we can modify the value of variance in constant time. In contrast, previously known algorithms for processing interval data required that, once a new data point is added, we start from the very beginning. In this paper, we describe new algorithms for statistical processing of interval data, algorithms in which adding a data point requires only O(n) computational steps. © 2006 Elsevier Inc. All rights reserved.
Relation:	Information Sciences, 177(16), 3228-3238
Data Type:	article
DOI 連結:	http://dx.doi.org/10.1016/j.ins.2006.11.007
DOI:	10.1016/j.ins.2006.11.007
Appears in Collections:	[應用數學系] 期刊論文

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