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weishi peng, yangwang fang, "Enhanced error spectrum for estimation performance evaluation"

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number:


20161102104600






Title:

Enhanced error spectrum for estimation performance evaluation






Authors:

Peng, Weishi1, 3; Fang, Yangwang1; Duan, Zhansheng2 ; Wang, Binghe3





Author affiliation:

1School of Aeronautics and Astronautics Engineering, Air Force Engineering University, Xi'an; Shaanxi, China






2Center for Information Engineering Science Research, Xi'An Jiaotong University, Xi'an; Shaanxi, China






3School of People Armed Police Engineering University, Xi'an; Shaanxi, China






Corresponding author:

Duan, Zhansheng (zhanshengduan@hotmail.com)






Source title:

Optik






Abbreviated source title:

Optik






Volume:

127






Issue:

12






Issue date:

June 1, 2016






Publication year:

2016






Pages:

5084-5091






Language:

English






ISSN:

00304026






Document type:

Journal article (JA)






Publisher:

Elsevier GmbH






Abstract:

The error spectrum is a comprehensive metric for estimation performance evaluation in that it is an aggregation of many incomprehensive measures. However, the error spectrum is a two-dimensional curve for any estimand (i.e., the quantity to be estimated) of interest. Therefore, unless one error spectrum dominates the others, it is in general not straightforward to say which one is better. Although the dynamic error spectrum (i.e., the average height of the error spectrum) was proposed to tackle this problem, it suffers from the problem of information loss due to the mapping of the whole error spectrum at a time instant into a single point. Particularly, if the average heights of two error spectrums are the same, they are still indistinguishable. To alleviate this, two new metrics called range error spectrum induced area and dynamic error spectrum induced area are proposed in this paper. Then how to combine these two new metrics, called as enhanced error spectrum, are further studied. An additive and a multiplicative form of the enhanced error spectrum are presented respectively for different scenarios. A numerical example is provided to illustrate the effectiveness of the metrics. It is shown that due to the consideration of more information, the new metrics have greater applicability than the dynamic error spectrum. © 2016 Elsevier GmbH. All rights reserved.






Number of references:

30






Main heading:

Errors






Controlled terms:

Estimation - Multiobjective optimization






Uncontrolled terms:

Average height - Dynamic error - Error spectrum - Estimation performance - Information loss - Range error - Single point






Classification code:

921 Mathematics - 921.5 Optimization Techniques





DOI:

10.1016/j.ijleo.2016.02.063






Database:

Compendex






Compilation and indexing terms, © 2016 Elsevier
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Accession number:


20161102104600
3Â¥2016-03-30 12:40:57
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