{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,2]],"date-time":"2026-05-02T06:33:40Z","timestamp":1777703620471,"version":"3.51.4"},"reference-count":31,"publisher":"SAGE Publications","issue":"6","license":[{"start":{"date-parts":[[2018,6,11]],"date-time":"2018-06-11T00:00:00Z","timestamp":1528675200000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/journals.sagepub.com\/page\/policies\/text-and-data-mining-license"}],"content-domain":{"domain":["journals.sagepub.com"],"crossmark-restriction":true},"short-container-title":["Journal of Intelligent &amp; Fuzzy Systems"],"published-print":{"date-parts":[[2018,6,22]]},"abstract":"<jats:p>\n                    Accelerated degradation testing (ADT) has been widely used to accelerate failure\/degradation processes and to quickly evaluate the reliability and lifetime of products. In particular, the application of copula function provides a convenient and efficient way to model the ADT data of products that have two or more s-dependent degradation measures. However, little effort has focused on the pointwise infimum and supremum of the multivariate joint-distribution function. For this paper, a novel prognostics method was developed for bivariate ADT data on the basis of Brownian motion and time-varying copula method, which can estimate the pointwise best-possible bounds on bivariate joint reliable life function with a given measure of association, such as Kendall\u2019s\n                    <jats:italic>\u03c4<\/jats:italic>\n                    or Spearman\u2019s\n                    <jats:italic>\u03c1<\/jats:italic>\n                    . The proposed model is applied to the real ADT data of microwave assembly to illustrate its performance and effectiveness.\n                  <\/jats:p>","DOI":"10.3233\/jifs-169545","type":"journal-article","created":{"date-parts":[[2018,6,12]],"date-time":"2018-06-12T18:29:30Z","timestamp":1528828170000},"page":"3707-3718","update-policy":"https:\/\/doi.org\/10.1177\/sage-journals-update-policy","source":"Crossref","is-referenced-by-count":7,"title":["A time-varying copula-based prognostics method for bivariate accelerated degradation testing"],"prefix":"10.1177","volume":"34","author":[{"given":"Fuqiang","family":"Sun","sequence":"first","affiliation":[{"name":"Science and Technology on Reliability and Environmental Engineering Laboratory, School of Reliability and Systems Engineering, Beihang University, Beijing, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Ning","family":"Wang","sequence":"additional","affiliation":[{"name":"Science and Technology on 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