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To this aim, we adopt a rational expectation-type approach by artificially creating an information set based on the observation of a collection of systems of the same class\u2013the catalog. Specifically, we state the connection between a synthetic statistical measure of the survived components\u2019 weights and the failure time of the systems. In detail, we follow the evolution of the systems in the catalog from the starting point to their failure\u2013obtained after the failure of some of their components. Then, we store the couples given by the measure of the survived components and the failure time. Finally, we employ such couples for having a prediction of the failure times of a set of new systems\u2013the in-vivo systems\u2013conditioned on the specific values of the considered statistical measure. We test different statistical measures for predicting the failure time of the in-vivo systems. As a result, we give insights on the statistical measure which is more effective in contributing to providing a reliable estimation of the systems\u2019 failure time. A discussion on the initial distribution of the weights is also carried out.<\/jats:p>","DOI":"10.1007\/s10479-023-05300-x","type":"journal-article","created":{"date-parts":[[2023,4,17]],"date-time":"2023-04-17T18:02:10Z","timestamp":1681754530000},"page":"295-316","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":6,"title":["Rational expectations as a tool for predicting failure of weighted k-out-of-n reliability systems"],"prefix":"10.1007","volume":"326","author":[{"given":"Jorgen-Vitting","family":"Andersen","sequence":"first","affiliation":[]},{"given":"Roy","family":"Cerqueti","sequence":"additional","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0003-2718-5669","authenticated-orcid":false,"given":"Jessica","family":"Riccioni","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2023,4,17]]},"reference":[{"issue":"1","key":"5300_CR1","doi-asserted-by":"crossref","first-page":"112","DOI":"10.1016\/j.ejor.2012.11.056","volume":"227","author":"T Aktekin","year":"2013","unstructured":"Aktekin, T., & Caglar, T. 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