{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,6]],"date-time":"2026-03-06T00:45:34Z","timestamp":1772757934513,"version":"3.50.1"},"reference-count":26,"publisher":"Elsevier BV","issue":"4","license":[{"start":{"date-parts":[[2010,4,1]],"date-time":"2010-04-01T00:00:00Z","timestamp":1270080000000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/tdm\/userlicense\/1.0\/"},{"start":{"date-parts":[[2010,4,1]],"date-time":"2010-04-01T00:00:00Z","timestamp":1270080000000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/legal\/tdmrep-license"}],"content-domain":{"domain":["elsevier.com","sciencedirect.com"],"crossmark-restriction":true},"short-container-title":["Computational Statistics &amp; Data Analysis"],"published-print":{"date-parts":[[2010,4]]},"DOI":"10.1016\/j.csda.2009.10.006","type":"journal-article","created":{"date-parts":[[2009,10,13]],"date-time":"2009-10-13T05:03:33Z","timestamp":1255410213000},"page":"935-944","update-policy":"https:\/\/doi.org\/10.1016\/elsevier_cm_policy","source":"Crossref","is-referenced-by-count":57,"title":["A new distribution with decreasing, increasing and upside-down bathtub failure rate"],"prefix":"10.1016","volume":"54","author":[{"given":"Rodrigo B.","family":"Silva","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Wagner","family":"Barreto-Souza","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Gauss M.","family":"Cordeiro","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"78","reference":[{"key":"10.1016\/j.csda.2009.10.006_b1","doi-asserted-by":"crossref","first-page":"259","DOI":"10.1016\/j.spl.2005.03.013","article-title":"On a generalization of the exponential-geometric distribution","volume":"73","author":"Adamidis","year":"2005","journal-title":"Statistics & Probability Letters"},{"key":"10.1016\/j.csda.2009.10.006_b2","doi-asserted-by":"crossref","first-page":"35","DOI":"10.1016\/S0167-7152(98)00012-1","article-title":"A lifetime distribution with decreasing failure rate","volume":"39","author":"Adamidis","year":"1998","journal-title":"Statistics & Probability Letters"},{"key":"10.1016\/j.csda.2009.10.006_b3","doi-asserted-by":"crossref","DOI":"10.1016\/j.spl.2009.09.003","article-title":"A generalization of the exponential-Poisson distribution","author":"Barreto-Souza","year":"2009","journal-title":"Statistics and Probability Letters"},{"key":"10.1016\/j.csda.2009.10.006_b4","article-title":"A beta generalized exponential distribution","author":"Barreto-Souza","year":"2009","journal-title":"Journal of Statistical Computational and Simulation"},{"key":"10.1016\/j.csda.2009.10.006_b5","doi-asserted-by":"crossref","first-page":"1157","DOI":"10.1016\/j.jspi.2007.04.031","article-title":"Estimating the turning point of a bathtub-shaped failure distribution","volume":"138","author":"Bebbington","year":"2008","journal-title":"Journal of Statistical Planning and Inference"},{"key":"10.1016\/j.csda.2009.10.006_b6","doi-asserted-by":"crossref","first-page":"328","DOI":"10.2307\/3212004","article-title":"Estimation for a family of life distributions with applications to fatigue","volume":"6","author":"Birnbaum","year":"1969","journal-title":"Journal of Applied Probability"},{"key":"10.1016\/j.csda.2009.10.006_b7","doi-asserted-by":"crossref","first-page":"450","DOI":"10.1016\/j.csda.2008.08.023","article-title":"A generalized modified Weibull distribution for lifetime modeling","volume":"53","author":"Carrasco","year":"2009","journal-title":"Computational Statistics & Data Analysis"},{"key":"10.1016\/j.csda.2009.10.006_b8","doi-asserted-by":"crossref","first-page":"49","DOI":"10.1080\/00401706.1970.10488633","article-title":"The estimation of reliability from stress strength relationships","volume":"12","author":"Church","year":"1970","journal-title":"Technometrics"},{"key":"10.1016\/j.csda.2009.10.006_b9","doi-asserted-by":"crossref","first-page":"365","DOI":"10.1080\/03610918608812513","article-title":"The estimation of P(Y<X) in gamma case","volume":"15","author":"Constantine","year":"1986","journal-title":"Communications in Statistics\u2014Simulation and Computation"},{"key":"10.1016\/j.csda.2009.10.006_b10","doi-asserted-by":"crossref","first-page":"371","DOI":"10.1080\/01621459.1980.10477530","article-title":"Bathtub and related failure rate characterizations","volume":"75","author":"Glaser","year":"1980","journal-title":"Journal of the American Statistical Association"},{"key":"10.1016\/j.csda.2009.10.006_b11","first-page":"35","article-title":"Two sided confidence limits for P(X>Y) based on normal samples of X and Y","volume":"29","author":"Govidarajulu","year":"1967","journal-title":"Sankhya B"},{"key":"10.1016\/j.csda.2009.10.006_b12","doi-asserted-by":"crossref","first-page":"3532","DOI":"10.1080\/03610920802601356","article-title":"Reliability studies of the log-exponential inverse Gaussian distribution","volume":"38","author":"Ghitany","year":"2009","journal-title":"Communications in Statistics\u2014Theory and Methods"},{"key":"10.1016\/j.csda.2009.10.006_b13","doi-asserted-by":"crossref","first-page":"173","DOI":"10.1111\/1467-842X.00072","article-title":"Generalized exponential distribution","volume":"41","author":"Gupta","year":"1999","journal-title":"Australian and New Zealand Journal of Statistics"},{"key":"10.1016\/j.csda.2009.10.006_b14","doi-asserted-by":"crossref","first-page":"117","DOI":"10.1002\/1521-4036(200102)43:1<117::AID-BIMJ117>3.0.CO;2-R","article-title":"Exponentiated exponential family: An alternative to gamma and Weibull distributions","volume":"43","author":"Gupta","year":"2001","journal-title":"Biometrical Journal"},{"key":"10.1016\/j.csda.2009.10.006_b15","doi-asserted-by":"crossref","first-page":"315","DOI":"10.1080\/00949650108812098","article-title":"Generalized exponential distribution: Different method of estimations","volume":"69","author":"Gupta","year":"2001","journal-title":"Journal of Statistical Computation and Simulation"},{"key":"10.1016\/j.csda.2009.10.006_b16","doi-asserted-by":"crossref","first-page":"3537","DOI":"10.1016\/j.jspi.2007.03.030","article-title":"Generalized exponential distribution: Existing results and some recent developments","volume":"137","author":"Gupta","year":"2007","journal-title":"Journal of Statistical Planning and Inference"},{"key":"10.1016\/j.csda.2009.10.006_b17","doi-asserted-by":"crossref","first-page":"4497","DOI":"10.1016\/j.csda.2006.07.017","article-title":"A new lifetime distribution","volume":"51","author":"Kus","year":"2007","journal-title":"Computational Statistics & Data Analysis"},{"key":"10.1016\/j.csda.2009.10.006_b18","doi-asserted-by":"crossref","first-page":"299","DOI":"10.1109\/24.229504","article-title":"Exponentiated Weibull family for analysing bathtub failure data","volume":"42","author":"Mudholkar","year":"1993","journal-title":"IEEE Transactions on Reliability"},{"key":"10.1016\/j.csda.2009.10.006_b19","doi-asserted-by":"crossref","first-page":"436","DOI":"10.1080\/00401706.1995.10484376","article-title":"The exponentiated Weibull family","volume":"37","author":"Mudholkar","year":"1995","journal-title":"Technometrics"},{"key":"10.1016\/j.csda.2009.10.006_b20","doi-asserted-by":"crossref","first-page":"3059","DOI":"10.1080\/03610929608831886","article-title":"The exponentiated Weibull family: Some properties and a flood data application","volume":"25","author":"Mudholkar","year":"1996","journal-title":"Communications in Statistics\u2014Theory and Methods"},{"key":"10.1016\/j.csda.2009.10.006_b21","doi-asserted-by":"crossref","first-page":"97","DOI":"10.1007\/s10440-006-9055-0","article-title":"The exponentiated type distributions","volume":"92","author":"Nadarajah","year":"2006","journal-title":"Acta Applicandae Mathematicae"},{"key":"10.1016\/j.csda.2009.10.006_b22","doi-asserted-by":"crossref","first-page":"689","DOI":"10.1016\/j.ress.2005.05.008","article-title":"The beta exponential distribution","volume":"91","author":"Nadarajah","year":"2006","journal-title":"Reliability Engineering and System Safety"},{"key":"10.1016\/j.csda.2009.10.006_b23","doi-asserted-by":"crossref","first-page":"1317","DOI":"10.1081\/STA-120021561","article-title":"On the exponentiated Weibull distribution","volume":"32","author":"Nassar","year":"2003","journal-title":"Communications in Statistics\u2014Theory and Methods"},{"key":"10.1016\/j.csda.2009.10.006_b24","doi-asserted-by":"crossref","first-page":"323","DOI":"10.1002\/asmb.750","article-title":"Generalized mixtures in reliability modelling: Applications to the construction of bathtub shaped hazard models and the study of systems","volume":"25","author":"Navarro","year":"2009","journal-title":"Applied Stochastic Models in Business and Industry"},{"key":"10.1016\/j.csda.2009.10.006_b25","doi-asserted-by":"crossref","first-page":"109","DOI":"10.1080\/00949650108812085","article-title":"Estimation of the location and scale parameters of generalized exponential distribution based on order statistics","volume":"69","author":"Raqab","year":"2001","journal-title":"Journal of Statistical Computation and Simulation"},{"key":"10.1016\/j.csda.2009.10.006_b26","doi-asserted-by":"crossref","first-page":"425","DOI":"10.1109\/TR.2009.2027360","article-title":"A model for upside-down bathtub-shaped mean residual life and its properties","volume":"58","author":"Shen","year":"2009","journal-title":"IEEE Transactions on Reliability"}],"container-title":["Computational Statistics &amp; Data Analysis"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0167947309003764?httpAccept=text\/xml","content-type":"text\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0167947309003764?httpAccept=text\/plain","content-type":"text\/plain","content-version":"vor","intended-application":"text-mining"}],"deposited":{"date-parts":[[2025,9,29]],"date-time":"2025-09-29T09:57:53Z","timestamp":1759139873000},"score":1,"resource":{"primary":{"URL":"https:\/\/linkinghub.elsevier.com\/retrieve\/pii\/S0167947309003764"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2010,4]]},"references-count":26,"journal-issue":{"issue":"4","published-print":{"date-parts":[[2010,4]]}},"alternative-id":["S0167947309003764"],"URL":"https:\/\/doi.org\/10.1016\/j.csda.2009.10.006","relation":{},"ISSN":["0167-9473"],"issn-type":[{"value":"0167-9473","type":"print"}],"subject":[],"published":{"date-parts":[[2010,4]]},"assertion":[{"value":"Elsevier","name":"publisher","label":"This article is maintained by"},{"value":"A new distribution with decreasing, increasing and upside-down bathtub failure rate","name":"articletitle","label":"Article Title"},{"value":"Computational Statistics & Data Analysis","name":"journaltitle","label":"Journal Title"},{"value":"https:\/\/doi.org\/10.1016\/j.csda.2009.10.006","name":"articlelink","label":"CrossRef DOI link to publisher maintained version"},{"value":"article","name":"content_type","label":"Content Type"},{"value":"Copyright \u00a9 2009 Elsevier B.V. All rights reserved.","name":"copyright","label":"Copyright"}]}}