{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,14]],"date-time":"2025-10-14T07:12:55Z","timestamp":1760425975112,"version":"3.37.3"},"reference-count":27,"publisher":"Springer Science and Business Media LLC","issue":"3","license":[{"start":{"date-parts":[[2021,2,25]],"date-time":"2021-02-25T00:00:00Z","timestamp":1614211200000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springer.com\/tdm"},{"start":{"date-parts":[[2021,2,25]],"date-time":"2021-02-25T00:00:00Z","timestamp":1614211200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springer.com\/tdm"}],"funder":[{"DOI":"10.13039\/501100003725","name":"National Research Foundation of Korea","doi-asserted-by":"crossref","award":["2018R1D1A1B07043352"],"award-info":[{"award-number":["2018R1D1A1B07043352"]}],"id":[{"id":"10.13039\/501100003725","id-type":"DOI","asserted-by":"crossref"}]}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Comput Stat"],"published-print":{"date-parts":[[2021,9]]},"DOI":"10.1007\/s00180-021-01083-6","type":"journal-article","created":{"date-parts":[[2021,2,25]],"date-time":"2021-02-25T09:03:25Z","timestamp":1614243805000},"page":"2079-2109","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":10,"title":["Objective Bayesian analysis for generalized exponential stress\u2013strength model"],"prefix":"10.1007","volume":"36","author":[{"given":"Sang Gil","family":"Kang","sequence":"first","affiliation":[]},{"given":"Woo Dong","family":"Lee","sequence":"additional","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0002-3917-6279","authenticated-orcid":false,"given":"Yongku","family":"Kim","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2021,2,25]]},"reference":[{"key":"1083_CR1","first-page":"271","volume-title":"The frontiers of modern statistical inference procedures","author":"AP Basu","year":"1985","unstructured":"Basu AP (1985) Estimation of the reliability of complex system. In: Dudewicz EJ (ed) The frontiers of modern statistical inference procedures. American Science Press, Columbus, pp 271\u2013287"},{"key":"1083_CR2","first-page":"7","volume":"55","author":"S Basu","year":"2003","unstructured":"Basu S, Lingham RT (2003) Bayesian estimation of system reliability in Brownian stress-strength models. Ann Inst Stat Math 55:7\u201319","journal-title":"Ann Inst Stat Math"},{"key":"1083_CR3","doi-asserted-by":"publisher","first-page":"200","DOI":"10.1080\/01621459.1989.10478756","volume":"84","author":"JO Berger","year":"1989","unstructured":"Berger JO, Bernardo JM (1989) Estimating a product of means?: Bayesian analysis with reference Priors. J Am Stat Assoc 84:200\u2013207","journal-title":"J Am Stat Assoc"},{"key":"1083_CR4","doi-asserted-by":"crossref","first-page":"35","DOI":"10.1093\/oso\/9780198522669.003.0003","volume-title":"Bayesian statistics IV","author":"JO Berger","year":"1992","unstructured":"Berger JO, Bernardo JM (1992) On the development of reference priors (with discussion). In: Bernardo JM et al (eds) Bayesian statistics IV. Oxford University Press, Oxford, pp 35\u201360"},{"key":"1083_CR5","doi-asserted-by":"crossref","first-page":"113","DOI":"10.1111\/j.2517-6161.1979.tb01066.x","volume":"41","author":"JM Bernardo","year":"1979","unstructured":"Bernardo JM (1979) Reference posterior distributions for Bayesian inference (with discussion). J R Stat Soc B 41:113\u2013147","journal-title":"J R Stat Soc B"},{"key":"1083_CR6","doi-asserted-by":"publisher","first-page":"37","DOI":"10.2307\/2337625","volume":"82","author":"GS Datta","year":"1995","unstructured":"Datta GS, Ghosh JK (1995) On priors providing frequentist validity for Bayesian inferences. Biometrika 82:37\u201345","journal-title":"Biometrika"},{"key":"1083_CR7","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4612-2036-7","volume-title":"Probability matching priors: higher order asymptotics","author":"GS Datta","year":"2004","unstructured":"Datta GS, Mukerjee R (2004) Probability matching priors: higher order asymptotics. Springer, New York"},{"key":"1083_CR8","doi-asserted-by":"publisher","first-page":"113","DOI":"10.1080\/01621459.1952.10501160","volume":"47","author":"DJ Davis","year":"1952","unstructured":"Davis DJ (1952) An analysis of some failure data. J Am Stat Assoc 47:113\u2013150","journal-title":"J Am Stat Assoc"},{"key":"1083_CR9","doi-asserted-by":"crossref","first-page":"397","DOI":"10.1111\/j.2517-6161.1994.tb01989.x","volume":"56","author":"TJ DiCiccio","year":"1994","unstructured":"DiCiccio TJ, Stern SE (1994) Frequentist and Bayesian Bartlett correction of test statistics based on adjusted profile likelihood. J R Stat Soc B 56:397\u2013408","journal-title":"J R Stat Soc B"},{"key":"1083_CR10","doi-asserted-by":"publisher","first-page":"486","DOI":"10.1080\/01621459.1953.10483488","volume":"48","author":"B Epstein","year":"1953","unstructured":"Epstein B, Sobel M (1953) Life testing. J Am Stat Assoc 48:486\u2013502","journal-title":"J Am Stat Assoc"},{"key":"1083_CR11","first-page":"457","volume":"7","author":"A Gelman","year":"1992","unstructured":"Gelman A, Rubin DB (1992) Inference from iterative simulation using multiple sequences. Stat Sci 7:457\u2013511","journal-title":"Stat Sci"},{"key":"1083_CR12","doi-asserted-by":"crossref","first-page":"195","DOI":"10.1093\/oso\/9780198522669.003.0011","volume-title":"Bayesian statistics IV","author":"JK Ghosh","year":"1992","unstructured":"Ghosh JK, Mukerjee R (1992) Noninformative priors (with discussion). In: Bernardo JM et al (eds) Bayesian statistics IV. Oxford University Press, Oxford, pp 195\u2013210"},{"key":"1083_CR13","doi-asserted-by":"publisher","first-page":"27","DOI":"10.1016\/S0169-7161(88)07005-1","volume-title":"Quality control and reliability, handbook of statistics","author":"RA Johnson","year":"1988","unstructured":"Johnson RA (1988) Stress-strength models for reliability. In: Krishnaiah P, Rao C (eds) Quality control and reliability, handbook of statistics, vol 7. Elsevier, Amsterdam, pp 27\u201354"},{"key":"1083_CR14","volume-title":"Continuous univariate distributions","author":"N Johnson","year":"1994","unstructured":"Johnson N, Kotz S, Balakrishnan N (1994) Continuous univariate distributions, vol 1. Wiley, New York"},{"key":"1083_CR15","first-page":"17","volume":"29","author":"DH Kim","year":"2000","unstructured":"Kim DH, Kang SG, Cho JS (2000) Noninformative priors for stress-strength system in the Burr-type X model. J Korean Stat Soc 29:17\u201327","journal-title":"J Korean Stat Soc"},{"key":"1083_CR16","doi-asserted-by":"publisher","DOI":"10.1142\/5015","volume-title":"The stress-strength model and its generalizations: theory and applications","author":"S Kotz","year":"2003","unstructured":"Kotz S, Lumelskii Y, Pensky M (2003) The stress-strength model and its generalizations: theory and applications. World Scientific, Singapore"},{"key":"1083_CR17","doi-asserted-by":"crossref","unstructured":"Lawless JF (2003) Statistical models and methods for lifetime data. 2nd ed. John Wiley & Sons, Inc., New York","DOI":"10.1002\/9781118033005"},{"key":"1083_CR18","doi-asserted-by":"publisher","first-page":"83","DOI":"10.1002\/cjs.11164","volume":"41","author":"X Min","year":"2013","unstructured":"Min X, Sun D (2013) A matching prior based on the modified profile likelihood in a generalized Weibull stress-strength model. Can J Stat 41:83\u201397","journal-title":"Can J Stat"},{"key":"1083_CR19","doi-asserted-by":"publisher","first-page":"499","DOI":"10.1093\/biomet\/80.3.499","volume":"80","author":"R Mukerjee","year":"1993","unstructured":"Mukerjee R, Dey DK (1993) Frequentist validity of posterior quantiles in the presence of a nuisance parameter?: higher order asymptotics. Biometrika 80:499\u2013505","journal-title":"Biometrika"},{"key":"1083_CR20","doi-asserted-by":"publisher","first-page":"970","DOI":"10.1093\/biomet\/84.4.970","volume":"84","author":"R Mukerjee","year":"1997","unstructured":"Mukerjee R, Ghosh M (1997) Second order probability matching priors. Biometrika 84:970\u2013975","journal-title":"Biometrika"},{"key":"1083_CR21","doi-asserted-by":"publisher","first-page":"729","DOI":"10.1080\/00949655.2010.551772","volume":"82","author":"B Sara\u00e7co\u011flu","year":"2012","unstructured":"Sara\u00e7co\u011flu B, Kinaci I, Kundu D (2012) On estimation of $$P(Y<X)$$ for exponential distribution under progressive type-II censoring. J Stat Comput Simul 82:729\u2013744","journal-title":"J Stat Comput Simul"},{"key":"1083_CR22","doi-asserted-by":"publisher","first-page":"323","DOI":"10.2307\/3315514","volume":"26","author":"D Sun","year":"1998","unstructured":"Sun D, Ghosh M, Basu AP (1998) Bayesian analysis for a stress-strength system under noninformative priors. Can J Stat 26:323\u2013332","journal-title":"Can J Stat"},{"key":"1083_CR23","unstructured":"Thompson RD, Basu AP (1993) Bayesian reliability of stress-strength system. Advances in Reliability. North-Holland, Amsterdam, pp 411\u2013421"},{"key":"1083_CR24","doi-asserted-by":"crossref","unstructured":"Tibshirani R (1989) Noninformative priors for one parameter of many. Biometrika 76:604\u2013608","DOI":"10.1093\/biomet\/76.3.604"},{"key":"1083_CR25","doi-asserted-by":"publisher","first-page":"411","DOI":"10.1214\/ba\/1339616470","volume":"6","author":"L Ventura","year":"2011","unstructured":"Ventura L, Racugno W (2011) Recent advances on Bayesian inference for $$P(X<Y)$$. Bayesian Anal 6:411\u2013428","journal-title":"Bayesian Anal"},{"key":"1083_CR26","doi-asserted-by":"crossref","first-page":"318","DOI":"10.1111\/j.2517-6161.1963.tb00512.x","volume":"25","author":"BL Welch","year":"1963","unstructured":"Welch BL, Peers HW (1963) On formulae for confidence points based on integrals of weighted likelihood. J R Stat Soc B 25:318\u2013329","journal-title":"J R Stat Soc B"},{"key":"1083_CR27","doi-asserted-by":"publisher","first-page":"54","DOI":"10.1016\/j.compositesa.2008.10.001","volume":"40","author":"ZP Xia","year":"2009","unstructured":"Xia ZP, Yu JY, Cheng LD, Liu LF, Wang WM (2009) Study on the breaking strength of jute fibres using modified Weibull distribution. Compos: Part A 40:54\u201359","journal-title":"Compos: Part A"}],"container-title":["Computational Statistics"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s00180-021-01083-6.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s00180-021-01083-6\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s00180-021-01083-6.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,8,24]],"date-time":"2024-08-24T21:01:15Z","timestamp":1724533275000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/s00180-021-01083-6"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2021,2,25]]},"references-count":27,"journal-issue":{"issue":"3","published-print":{"date-parts":[[2021,9]]}},"alternative-id":["1083"],"URL":"https:\/\/doi.org\/10.1007\/s00180-021-01083-6","relation":{},"ISSN":["0943-4062","1613-9658"],"issn-type":[{"type":"print","value":"0943-4062"},{"type":"electronic","value":"1613-9658"}],"subject":[],"published":{"date-parts":[[2021,2,25]]},"assertion":[{"value":"18 September 2020","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"28 January 2021","order":2,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"25 February 2021","order":3,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}]}}