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Article: Detecting change points in the stress-strength reliability P(X < Y)
Title | Detecting change points in the stress-strength reliability P(X < Y) |
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Authors | |
Keywords | Dynamic programming Multiple change-points detection Stress-strength model |
Issue Date | 2019 |
Publisher | John Wiley & Sons Ltd. The Journal's web site is located at http://www.interscience.wiley.com/jpages/1524-1904/ |
Citation | Applied Stochastic Models in Business and Industry, 2019, v. 35 n. 3, p. 837-857 How to Cite? |
Abstract | We address the statistical problem of detecting change points in the stress‐strength reliability R=P(X < Y) in a sequence of paired variables (X,Y). Without specifying their underlying distributions, we embed this nonparametric problem into a parametric framework and apply the maximum likelihood method via a dynamic programming approach to determine the locations of the change points in R. Under some mild conditions, we show the consistency and asymptotic properties of the procedure to locate the change points. Simulation experiments reveal that, in comparison with existing parametric and nonparametric change‐point detection methods, our proposed method performs well in detecting both single and multiple change points in R in terms of the accuracy of the location estimation and the computation time. Applications to real data demonstrate the usefulness of our proposed methodology for detecting the change points in the stress‐strength reliability R. Supplementary materials are available online. |
Persistent Identifier | http://hdl.handle.net/10722/275755 |
ISSN | 2023 Impact Factor: 1.3 2023 SCImago Journal Rankings: 0.452 |
ISI Accession Number ID |
DC Field | Value | Language |
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dc.contributor.author | Xu, H | - |
dc.contributor.author | Yu, PLH | - |
dc.contributor.author | Alvo, M | - |
dc.date.accessioned | 2019-09-10T02:49:02Z | - |
dc.date.available | 2019-09-10T02:49:02Z | - |
dc.date.issued | 2019 | - |
dc.identifier.citation | Applied Stochastic Models in Business and Industry, 2019, v. 35 n. 3, p. 837-857 | - |
dc.identifier.issn | 1524-1904 | - |
dc.identifier.uri | http://hdl.handle.net/10722/275755 | - |
dc.description.abstract | We address the statistical problem of detecting change points in the stress‐strength reliability R=P(X < Y) in a sequence of paired variables (X,Y). Without specifying their underlying distributions, we embed this nonparametric problem into a parametric framework and apply the maximum likelihood method via a dynamic programming approach to determine the locations of the change points in R. Under some mild conditions, we show the consistency and asymptotic properties of the procedure to locate the change points. Simulation experiments reveal that, in comparison with existing parametric and nonparametric change‐point detection methods, our proposed method performs well in detecting both single and multiple change points in R in terms of the accuracy of the location estimation and the computation time. Applications to real data demonstrate the usefulness of our proposed methodology for detecting the change points in the stress‐strength reliability R. Supplementary materials are available online. | - |
dc.language | eng | - |
dc.publisher | John Wiley & Sons Ltd. The Journal's web site is located at http://www.interscience.wiley.com/jpages/1524-1904/ | - |
dc.relation.ispartof | Applied Stochastic Models in Business and Industry | - |
dc.subject | Dynamic programming | - |
dc.subject | Multiple change-points detection | - |
dc.subject | Stress-strength model | - |
dc.title | Detecting change points in the stress-strength reliability P(X < Y) | - |
dc.type | Article | - |
dc.identifier.email | Yu, PLH: plhyu@hku.hk | - |
dc.identifier.authority | Yu, PLH=rp00835 | - |
dc.description.nature | link_to_subscribed_fulltext | - |
dc.identifier.doi | 10.1002/asmb.2413 | - |
dc.identifier.scopus | eid_2-s2.0-85055735484 | - |
dc.identifier.hkuros | 303898 | - |
dc.identifier.volume | 35 | - |
dc.identifier.issue | 3 | - |
dc.identifier.spage | 837 | - |
dc.identifier.epage | 857 | - |
dc.identifier.isi | WOS:000471712700028 | - |
dc.publisher.place | United Kingdom | - |
dc.identifier.issnl | 1524-1904 | - |