{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2022,4,2]],"date-time":"2022-04-02T07:10:10Z","timestamp":1648883410350},"reference-count":27,"publisher":"Springer Science and Business Media LLC","issue":"5","license":[{"start":{"date-parts":[[2018,8,8]],"date-time":"2018-08-08T00:00:00Z","timestamp":1533686400000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["J Syst Sci Complex"],"published-print":{"date-parts":[[2018,10]]},"DOI":"10.1007\/s11424-018-6329-3","type":"journal-article","created":{"date-parts":[[2018,8,8]],"date-time":"2018-08-08T10:17:11Z","timestamp":1533723431000},"page":"1377-1390","update-policy":"http:\/\/dx.doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":2,"title":["An Additive Hazards Model for Clustered Recurrent Gap Times"],"prefix":"10.1007","volume":"31","author":[{"given":"Fangyuan","family":"Kang","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Liuquan","family":"Sun","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Ximing","family":"Cheng","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2018,8,8]]},"reference":[{"key":"6329_CR1","doi-asserted-by":"publisher","first-page":"255","DOI":"10.2307\/2529977","volume":"36","author":"M H Gail","year":"1980","unstructured":"Gail M H, Santner T J, and Brown C C, An analysis of comparative carcinogenesis experiments based on multiple times to tumor, Biometrics, 1980, 36: 255\u2013266.","journal-title":"Biometrics"},{"key":"6329_CR2","doi-asserted-by":"publisher","first-page":"293","DOI":"10.1023\/A:1025892922453","volume":"9","author":"Y Huang","year":"2003","unstructured":"Huang Y and Chen Y Q, Marginal regression of gaps between recurrent events, Lifetime Data Analysis, 2003, 9: 293\u2013303.","journal-title":"Lifetime Data Analysis"},{"key":"6329_CR3","doi-asserted-by":"publisher","first-page":"291","DOI":"10.1093\/biomet\/91.2.291","volume":"91","author":"D E Schaubel","year":"2004","unstructured":"Schaubel D E and Cai J, Regression analysis for gap time hazard functions of sequentially ordered multiplivariate failure time data, Biometrika, 2004, 91: 291\u2013303.","journal-title":"Biometrika"},{"key":"6329_CR4","doi-asserted-by":"publisher","first-page":"1299","DOI":"10.1093\/biomet\/92.3.647","volume":"92","author":"R L Strawderman","year":"2005","unstructured":"Strawderman R L, The accelerated gap times model, Biometrika, 2005, 92: 1299\u20131315.","journal-title":"Biometrika"},{"key":"6329_CR5","doi-asserted-by":"publisher","first-page":"301","DOI":"10.1002\/sim.4074","volume":"30","author":"X Luo","year":"2011","unstructured":"Luo X and Huang C Y, Analysis of recurrent gap time data using the weighted risk-set method and the modified within-cluster resampling method, Statistics in Medicine, 2011, 30: 301\u2013311.","journal-title":"Statistics in Medicine"},{"key":"6329_CR6","doi-asserted-by":"publisher","first-page":"124","DOI":"10.1002\/sim.5522","volume":"32","author":"G A Darlington","year":"2013","unstructured":"Darlington G A and Dixon S N, Event-weighted proportional hazards modelling for recurrent gap time data, Statistics in Medicine, 2013, 32: 124\u2013130.","journal-title":"Statistics in Medicine"},{"key":"6329_CR7","doi-asserted-by":"publisher","first-page":"175","DOI":"10.1023\/B:LIDA.0000030202.20842.c9","volume":"10","author":"S H Chang","year":"2004","unstructured":"Chang S H, Estimating marginal effects in accelerated failure time models for serial sojourn among repeated event, Lifetime Data Analysis, 2004, 10: 175\u2013190.","journal-title":"Lifetime Data Analysis"},{"key":"6329_CR8","first-page":"919","volume":"16","author":"L Sun","year":"2006","unstructured":"Sun L, Park D H, and Sun J, The additive hazards model for recurrent gap times, Statistica Sinica, 2006, 16: 919\u2013932.","journal-title":"Statistica Sinica"},{"key":"6329_CR9","doi-asserted-by":"publisher","first-page":"59","DOI":"10.1093\/biomet\/86.1.59","volume":"86","author":"D Y Lin","year":"1999","unstructured":"Lin D Y, Sun W, and Ying Z, Nonparametric estimation of the gap time distribution for serial events with censored data, Biometrika, 1999, 86: 59\u201370.","journal-title":"Biometrika"},{"key":"6329_CR10","doi-asserted-by":"publisher","first-page":"146","DOI":"10.1080\/01621459.1999.10473831","volume":"94","author":"M C Wang","year":"1999","unstructured":"Wang M C and Chang S H, Nonparametric estimation of a recurrent survival function, Journal of the American Statistical Association, 1999, 94: 146\u2013153.","journal-title":"Journal of the American Statistical Association"},{"key":"6329_CR11","doi-asserted-by":"publisher","first-page":"1299","DOI":"10.1198\/016214501753381922","volume":"96","author":"E A Peffna","year":"2001","unstructured":"Peffna E A, Strawderman R, and Hollander M, Nonparametric estimation with recurrent event data, Journal of the American Statistical Association, 2001, 96: 1299\u20131315.","journal-title":"Journal of the American Statistical Association"},{"key":"6329_CR12","doi-asserted-by":"publisher","first-page":"256","DOI":"10.1007\/s10985-008-9110-4","volume":"15","author":"P Du","year":"2009","unstructured":"Du P, Nonparametric modeling of the gap time in recurrent event data, Lifetime Data Analysis, 2009, 15: 256\u2013277.","journal-title":"Lifetime Data Analysis"},{"key":"6329_CR13","doi-asserted-by":"publisher","first-page":"867","DOI":"10.1093\/biomet\/87.4.867","volume":"87","author":"T Cai","year":"2000","unstructured":"Cai T, Wei L, and Wilcox M, Semiparametric regression analysis for clustered failure time data, Biometrika, 2000, 87: 867\u2013878.","journal-title":"Biometrika"},{"key":"6329_CR14","doi-asserted-by":"publisher","first-page":"61","DOI":"10.1007\/s10985-004-5640-6","volume":"11","author":"S Lu","year":"2005","unstructured":"Lu S and Wang M, Marginal analysis for clustered failure time data, Lifetime Data Analysis, 2005, 11: 61\u201379.","journal-title":"Lifetime Data Analysis"},{"key":"6329_CR15","doi-asserted-by":"publisher","first-page":"514","DOI":"10.1198\/016214502760047041","volume":"97","author":"T Cai","year":"2002","unstructured":"Cai T, Cheng S, and Wei L, Semiparametric mixed-effects models for clustered failure time data, Journal of the American Statistical Association, 2002, 97: 514\u2013522.","journal-title":"Journal of the American Statistical Association"},{"key":"6329_CR16","doi-asserted-by":"publisher","first-page":"1340","DOI":"10.1111\/j.1541-0420.2011.01590.x","volume":"67","author":"J Cai","year":"2011","unstructured":"Cai J and Zeng D, Additive mixed effect model for clustered failure time data, Biometrics, 2011, 67: 1340\u20131351.","journal-title":"Biometrics"},{"key":"6329_CR17","doi-asserted-by":"publisher","first-page":"429","DOI":"10.1111\/j.1541-0420.2011.01683.x","volume":"68","author":"Z Yu","year":"2012","unstructured":"Yu Z, Lin X, and Tu W, Semiparametric frailty models for clustered failure time data, Biometrics, 2012, 68: 429\u2013436.","journal-title":"Biometrics"},{"key":"6329_CR18","doi-asserted-by":"publisher","first-page":"603","DOI":"10.1080\/03610918.2014.977912","volume":"46","author":"I Gauran","year":"2017","unstructured":"Gauran I and Barrios E, Nonparametric model of clustered customer survival data, Communications in Statistics-Simulation and Computation, 2017, 46: 603\u2013618.","journal-title":"Communications in Statistics-Simulation and Computation"},{"issue":"4","key":"6329_CR19","doi-asserted-by":"publisher","first-page":"651","DOI":"10.1007\/s10985-016-9384-x","volume":"23","author":"L Chen","year":"2017","unstructured":"Chen L, Feng Y, and Sun J, Regression analysis of clustered failure time data with informative cluster size under the additive transformation models, Lifetime Data Analysis, 2017, 23(4): 651\u2013670.","journal-title":"Lifetime Data Analysis"},{"key":"6329_CR20","doi-asserted-by":"publisher","first-page":"621","DOI":"10.1080\/01621459.2014.917978","volume":"110","author":"S Chiou","year":"2015","unstructured":"Chiou S, Kang S, and Yan J, Semiparametric accelerated failure time modeling for clustered failure times from stratified sampling, Journal of the American Statistical Association, 2015, 110: 621\u2013629.","journal-title":"Journal of the American Statistical Association"},{"key":"6329_CR21","doi-asserted-by":"publisher","first-page":"404","DOI":"10.1093\/biostatistics\/kxi018","volume":"6","author":"D Schaubel","year":"2005","unstructured":"Schaubel D and Cai J, Analysis of clustered recurrent event data with application to hospitalization rates among renal failure patients, Biostatistics, 2005, 6: 404\u2013419.","journal-title":"Biostatistics"},{"key":"6329_CR22","doi-asserted-by":"publisher","first-page":"55","DOI":"10.1007\/s10255-011-0093-7","volume":"29","author":"S He","year":"2003","unstructured":"He S, Wang F, and Sun L, A semiparametric additive rates model for clustered recurrent event data, Acta Mathematicae Applicatae Sinica, 2003, 29: 55\u201362.","journal-title":"Acta Mathematicae Applicatae Sinica"},{"key":"6329_CR23","doi-asserted-by":"publisher","first-page":"637","DOI":"10.1111\/j.1541-0420.2011.01676.x","volume":"68","author":"D Liu","year":"2012","unstructured":"Liu D, Schaubel D E, and Kalbfleisch J D, Computationally efficient marginal models for clustered recurrent event data, Biometrics, 2012, 68: 637\u2013647.","journal-title":"Biometrics"},{"key":"6329_CR24","doi-asserted-by":"publisher","first-page":"13","DOI":"10.1093\/biomet\/73.1.13","volume":"73","author":"K Y Liang","year":"1986","unstructured":"Liang K Y and Zeger S L, Longitudinal data analysis using generalized linear models, Biometrika, 1986, 73: 13\u201322.","journal-title":"Biometrika"},{"key":"6329_CR25","doi-asserted-by":"publisher","first-page":"711","DOI":"10.1111\/1467-9868.00259","volume":"69","author":"D Y Lin","year":"2000","unstructured":"Lin D Y, Wei L J, Yang L, et al., Semiparametric regression for the mean and rate function of recurrent events, Journal of the Royal Statistical Society, Series B, 2000, 69: 711\u2013730.","journal-title":"Journal of the Royal Statistical Society, Series B"},{"key":"6329_CR26","volume-title":"Counting Processes and Survival Analysis","author":"T R Fleming","year":"1991","unstructured":"Fleming T R and Harrington D P, Counting Processes and Survival Analysis, Wiley, New York, 1991."},{"key":"6329_CR27","doi-asserted-by":"publisher","first-page":"280","DOI":"10.1007\/s10985-010-9165-x","volume":"17","author":"L Sun","year":"2011","unstructured":"Sun L, Tong X, and Zhou X, A class of Box-Cox transformation models for recurrent event data, Lifetime Data Analysis, 2011, 17: 280\u2013301.","journal-title":"Lifetime Data Analysis"}],"container-title":["Journal of Systems Science and Complexity"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s11424-018-6329-3.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s11424-018-6329-3\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s11424-018-6329-3.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,7]],"date-time":"2019-08-07T19:15:48Z","timestamp":1565205348000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s11424-018-6329-3"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2018,8,8]]},"references-count":27,"journal-issue":{"issue":"5","published-print":{"date-parts":[[2018,10]]}},"alternative-id":["6329"],"URL":"https:\/\/doi.org\/10.1007\/s11424-018-6329-3","relation":{},"ISSN":["1009-6124","1559-7067"],"issn-type":[{"value":"1009-6124","type":"print"},{"value":"1559-7067","type":"electronic"}],"subject":[],"published":{"date-parts":[[2018,8,8]]},"assertion":[{"value":"27 December 2016","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"7 September 2017","order":2,"name":"revised","label":"Revised","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"8 August 2018","order":3,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}]}}