{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,7,30]],"date-time":"2025-07-30T15:02:15Z","timestamp":1753887735384,"version":"3.41.2"},"reference-count":26,"publisher":"Wiley","issue":"1","license":[{"start":{"date-parts":[[2021,2,19]],"date-time":"2021-02-19T00:00:00Z","timestamp":1613692800000},"content-version":"vor","delay-in-days":49,"URL":"http:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":["onlinelibrary.wiley.com"],"crossmark-restriction":true},"short-container-title":["Complexity"],"published-print":{"date-parts":[[2021,1]]},"abstract":"<jats:p>A new lifetime distribution, called exponential doubly Poisson distribution, is proposed with decreasing, increasing, and upside\u2010down bathtub\u2010shaped hazard rates. One of the reasons for introducing the new distribution is that it can describe the failure time of a system connected in the form of a parallel\u2010series structure. Some properties of the proposed distribution are addressed. Four methods of estimation for the involved parameters are considered based on progressively type II censored data. These methods are maximum likelihood, moments, least squares, and weighted least squares estimations. Through an extensive numerical simulation, the performance of the estimation methods is compared based on the average of mean squared errors and the average of absolute relative biases of the estimates. Two real datasets are used to compare the proposed distribution with some other well\u2010known distributions. The comparison indicates that the proposed distribution is better than the other distributions to match the data provided.<\/jats:p>","DOI":"10.1155\/2021\/6684918","type":"journal-article","created":{"date-parts":[[2021,2,20]],"date-time":"2021-02-20T01:28:59Z","timestamp":1613784539000},"update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":8,"title":["Inference on a New Lifetime Distribution under Progressive Type II Censoring for a Parallel\u2010Series Structure"],"prefix":"10.1155","volume":"2021","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-7676-1020","authenticated-orcid":false,"given":"Atef F.","family":"Hashem","sequence":"first","affiliation":[]},{"given":"Salem A.","family":"Alyami","sequence":"additional","affiliation":[]}],"member":"311","published-online":{"date-parts":[[2021,2,19]]},"reference":[{"key":"e_1_2_12_1_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.csda.2006.07.017"},{"key":"e_1_2_12_2_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.csda.2010.05.033"},{"key":"e_1_2_12_3_2","doi-asserted-by":"publisher","DOI":"10.1080\/00949655.2012.697163"},{"key":"e_1_2_12_4_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.csda.2011.02.018"},{"key":"e_1_2_12_5_2","doi-asserted-by":"publisher","DOI":"10.1155\/2013\/502159"},{"key":"e_1_2_12_6_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.matcom.2013.05.005"},{"key":"e_1_2_12_7_2","doi-asserted-by":"publisher","DOI":"10.1080\/00949655.2016.1243683"},{"key":"e_1_2_12_8_2","first-page":"1439","article-title":"A new compound distribution based on a mixture of distributions and a mixed system","volume":"71","author":"Abdel-Hamid A. 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