Paper Abstract and Keywords |
Presentation |
2015-12-18 13:30
A validation study of threshold methods in wavelet shrinkage estimation Xiao Xiao (Tokyo Metropolitan Univ.) R2015-61 |
Abstract |
(in Japanese) |
(See Japanese page) |
(in English) |
Recently wavelet estimation has been established as nonparametric estimation method for stochastic process. In our previous works, we developed wavelet shrinkages estimation for non-homogenous Poisson process-based software reliability model. The concept of wavelet shrinkage estimation is to expand the noise-involved observation in wavelet series, generate noise-free wavelet coefficients through threshold methods, and finally reconstruct wavelet estimator by inverse wavelet transform. The universal threshold and cross-validation threshold were used in hard threshold method and soft threshold method. These denoising methods are widely used in the fields of image processing and signal processing, but it is not obvious that whether they are appropriate to software reliability assessment. In this report, we concern the validation of threshold methods in wavelet shrinkage estimation. It is found that soft threshold method with cross-validation threshold is the most proper one to the analysis of software reliability data among 4 denoising methods. |
Keyword |
(in Japanese) |
(See Japanese page) |
(in English) |
software reliability / nonparametric estimation / Haar wavelet / threshold method / real data analysis / / / |
Reference Info. |
IEICE Tech. Rep., vol. 115, no. 379, R2015-61, pp. 1-6, Dec. 2015. |
Paper # |
R2015-61 |
Date of Issue |
2015-12-11 (R) |
ISSN |
Print edition: ISSN 0913-5685 Online edition: ISSN 2432-6380 |
Copyright and reproduction |
All rights are reserved and no part of this publication may be reproduced or transmitted in any form or by any means, electronic or mechanical, including photocopy, recording, or any information storage and retrieval system, without permission in writing from the publisher. Notwithstanding, instructors are permitted to photocopy isolated articles for noncommercial classroom use without fee. (License No.: 10GA0019/12GB0052/13GB0056/17GB0034/18GB0034) |
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R2015-61 |
Conference Information |
Committee |
R |
Conference Date |
2015-12-18 - 2015-12-18 |
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(See Japanese page) |
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Paper Information |
Registration To |
R |
Conference Code |
2015-12-R |
Language |
English (Japanese title is available) |
Title (in Japanese) |
(See Japanese page) |
Sub Title (in Japanese) |
(See Japanese page) |
Title (in English) |
A validation study of threshold methods in wavelet shrinkage estimation |
Sub Title (in English) |
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software reliability |
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nonparametric estimation |
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Haar wavelet |
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threshold method |
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real data analysis |
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1st Author's Name |
Xiao Xiao |
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Tokyo Metropolitan University (Tokyo Metropolitan Univ.) |
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Speaker |
Author-1 |
Date Time |
2015-12-18 13:30:00 |
Presentation Time |
25 minutes |
Registration for |
R |
Paper # |
R2015-61 |
Volume (vol) |
vol.115 |
Number (no) |
no.379 |
Page |
pp.1-6 |
#Pages |
6 |
Date of Issue |
2015-12-11 (R) |
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