{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,3,12]],"date-time":"2025-03-12T17:40:30Z","timestamp":1741801230421,"version":"3.38.0"},"reference-count":38,"publisher":"Springer Science and Business Media LLC","issue":"1","license":[{"start":{"date-parts":[[2011,10,9]],"date-time":"2011-10-09T00:00:00Z","timestamp":1318118400000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Lifetime Data Anal"],"published-print":{"date-parts":[[2012,1]]},"DOI":"10.1007\/s10985-011-9205-1","type":"journal-article","created":{"date-parts":[[2011,10,8]],"date-time":"2011-10-08T11:29:45Z","timestamp":1318073385000},"page":"94-115","source":"Crossref","is-referenced-by-count":6,"title":["A two-stage estimation in the Clayton\u2013Oakes model with marginal linear transformation models for multivariate failure time data"],"prefix":"10.1007","volume":"18","author":[{"given":"Chyong-Mei","family":"Chen","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Chang-Yung","family":"Yu","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2011,10,9]]},"reference":[{"key":"9205_CR1","doi-asserted-by":"crossref","first-page":"15","DOI":"10.1093\/biostatistics\/5.1.15","volume":"5","author":"EW Andersen","year":"2004","unstructured":"Andersen EW (2004) Composite likelihood and two-stage estimation in family studies. Biostatistics 5: 15\u201330","journal-title":"Biostatistics"},{"key":"9205_CR2","doi-asserted-by":"crossref","first-page":"333","DOI":"10.1007\/s10985-005-2966-7","volume":"11","author":"EW Andersen","year":"2005","unstructured":"Andersen EW (2005) Two-stage estimation in copula models used in family studies. Lifetime Data Anal 11: 333\u2013350","journal-title":"Lifetime Data Anal"},{"key":"9205_CR3","doi-asserted-by":"crossref","first-page":"29","DOI":"10.1093\/biomet\/83.1.29","volume":"83","author":"KJ Bandeen-Roche","year":"1996","unstructured":"Bandeen-Roche KJ, Liang KY (1996) Modelling failure-time associations in data with multiple levels of clustering. Biometrika 83: 29\u201339","journal-title":"Biometrika"},{"key":"9205_CR4","first-page":"327","volume-title":"Reliability and biometry: statistical analysis of lifelength","author":"BW Brown","year":"1974","unstructured":"Brown BW, Hollander M, Korwar RM (1974) Nonparametric tests of independence for censored data with applications to heart transplant studies. In: Proschan F, Serfling RG (eds) Reliability and biometry: statistical analysis of lifelength. SIAM, Philadelphia, pp 327\u2013354"},{"key":"9205_CR5","doi-asserted-by":"crossref","first-page":"591","DOI":"10.1093\/biomet\/asp032","volume":"96","author":"YH Chen","year":"2009","unstructured":"Chen YH (2009) Weighted Breslow-type and maximum likelihood estimation in semiparametric transformation models. Biometrika 96: 591\u2013600","journal-title":"Biometrika"},{"key":"9205_CR6","doi-asserted-by":"crossref","first-page":"659","DOI":"10.1093\/biomet\/89.3.659","volume":"89","author":"K Chen","year":"2002","unstructured":"Chen K, Jin Z, Ying Z (2002) Semiparametric analysis of transformation models with censored data. Biometrika 89: 659\u2013668","journal-title":"Biometrika"},{"key":"9205_CR7","doi-asserted-by":"crossref","first-page":"227","DOI":"10.2307\/2291467","volume":"92","author":"SC Cheng","year":"1997","unstructured":"Cheng SC, Wei LJ, Ying Z (1997) Predicting survival probabilities with semiparametric transformation models. J Am Stat Assoc 92: 227\u2013235","journal-title":"J Am Stat Assoc"},{"key":"9205_CR8","doi-asserted-by":"crossref","first-page":"141","DOI":"10.1093\/biomet\/65.1.141","volume":"65","author":"DG Clayton","year":"1978","unstructured":"Clayton DG (1978) A model for association in bivariate life tables and its applications in epidemiological studies of familial tendency in chronic disease incidence. Biometrika 65: 141\u2013151","journal-title":"Biometrika"},{"key":"9205_CR9","doi-asserted-by":"crossref","first-page":"744","DOI":"10.2307\/2289300","volume":"83","author":"DM Dabrowska","year":"1988","unstructured":"Dabrowska DM, Doksum KA (1988) Estimation and testing in the two-sample generalized odds-rate model. J Am Stat Assoc 83: 744\u2013749","journal-title":"J Am Stat Assoc"},{"key":"9205_CR10","doi-asserted-by":"crossref","first-page":"280","DOI":"10.2307\/2684602","volume":"40","author":"C Genest","year":"1986","unstructured":"Genest C, MacKay J (1986) The joy of copulas: bivariate distributions with uniform marginals. Am Stat 40: 280\u2013283","journal-title":"Am Stat"},{"key":"9205_CR11","doi-asserted-by":"crossref","first-page":"141","DOI":"10.1023\/A:1009664011060","volume":"6","author":"DV Glidden","year":"2000","unstructured":"Glidden DV (2000) A two-stage estimator of the dependence parameter for the Clayton\u2013Oakes model. Lifetime Data Anal 6: 141\u2013156","journal-title":"Lifetime Data Anal"},{"key":"9205_CR12","doi-asserted-by":"crossref","first-page":"363","DOI":"10.1111\/1467-9469.00154","volume":"26","author":"DV Glidden","year":"1999","unstructured":"Glidden DV, Self SG (1999) Semiparametric likelihood estimation in the Clayton\u2013Oakes failure time model. Scand J Stat 26: 363\u2013372","journal-title":"Scand J Stat"},{"key":"9205_CR13","doi-asserted-by":"crossref","first-page":"253","DOI":"10.1007\/s10985-008-9082-4","volume":"14","author":"S Hattori","year":"2008","unstructured":"Hattori S (2008) Checking the linear transformation model for clustered failure time observations. Lifetime Data Anal 14: 253\u2013266","journal-title":"Lifetime Data Anal"},{"key":"9205_CR14","doi-asserted-by":"crossref","first-page":"145","DOI":"10.2307\/2532041","volume":"45","author":"WJ Huster","year":"1989","unstructured":"Huster WJ, Brookmeyer R, Sef SG (1989) Modelling paired survival data with covariates. Biometric 45: 145\u2013156","journal-title":"Biometric"},{"key":"9205_CR15","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1111\/j.1467-9469.2005.00487.x","volume":"33","author":"Z Jin","year":"2006","unstructured":"Jin Z, Lin DY, Ying Z (2006) Rank regression analysis of multivariate failure time data based on marginal linear models. Scand J Stat 33: 1\u201323","journal-title":"Scand J Stat"},{"key":"9205_CR16","doi-asserted-by":"crossref","first-page":"795","DOI":"10.2307\/2532345","volume":"48","author":"JP Klein","year":"1992","unstructured":"Klein JP (1992) Semiparametric estimation of random effects using the Cox model based on the EM algorithm. Biometrics 48: 795\u2013806","journal-title":"Biometrics"},{"key":"9205_CR17","doi-asserted-by":"crossref","first-page":"939","DOI":"10.1093\/biomet\/asm051","volume":"94","author":"AYC Kuk","year":"2007","unstructured":"Kuk AYC (2007) A hybrid pairwise likelihood method. Biometrika 94: 939\u2013952","journal-title":"Biometrika"},{"key":"9205_CR18","doi-asserted-by":"crossref","first-page":"237","DOI":"10.1007\/978-94-015-7983-4_14","volume-title":"Survival analysis: state of the art","author":"EW Lee","year":"1992","unstructured":"Lee EW, Wei LJ, Amato DA (1992) Cox-type regression analysis for large numbers of small groups of correlated failure time observations. In: Klein JP, Goel PK (eds) Survival analysis: state of the art. Kluwer, Dordrecht, pp 237\u2013247"},{"key":"9205_CR19","doi-asserted-by":"crossref","first-page":"2233","DOI":"10.1002\/sim.4780132105","volume":"13","author":"DY Lin","year":"1994","unstructured":"Lin DY (1994) Cox regression analysis of multivariate failure time data: the marginal approach. Stat Med 13: 2233\u20132247","journal-title":"Stat Med"},{"key":"9205_CR20","doi-asserted-by":"crossref","first-page":"389","DOI":"10.1007\/s10985-005-2969-4","volume":"11","author":"W Lu","year":"2005","unstructured":"Lu W (2005) Marginal regression of multivariate event times based on linear transformation models. Lifetime Data Anal 11: 389\u2013404","journal-title":"Lifetime Data Anal"},{"key":"9205_CR21","doi-asserted-by":"crossref","first-page":"834","DOI":"10.2307\/2289314","volume":"83","author":"AW Marshall","year":"1988","unstructured":"Marshall AW, Olkin I (1988) Families of multivariate distributions. J Am Stat Assoc 83: 834\u2013841","journal-title":"J Am Stat Assoc"},{"key":"9205_CR22","doi-asserted-by":"crossref","first-page":"3865","DOI":"10.1016\/j.jspi.2009.05.025","volume":"139","author":"G Massonnet","year":"2009","unstructured":"Massonnet G, Janssen P, Duchateau L (2009) Modelling udder infection data using copula models for quadruples. J Stat Plan Infer 139: 3865\u20133877","journal-title":"J Stat Plan Infer"},{"key":"9205_CR23","doi-asserted-by":"crossref","first-page":"712","DOI":"10.1214\/aos\/1176325492","volume":"22","author":"SA Murphy","year":"1994","unstructured":"Murphy SA (1994) Consistency in a proportional hazards model incorporating a random effect. Ann Stat 22: 712\u2013731","journal-title":"Ann Stat"},{"key":"9205_CR24","doi-asserted-by":"crossref","first-page":"182","DOI":"10.1214\/aos\/1176324462","volume":"23","author":"SA Murphy","year":"1995","unstructured":"Murphy SA (1995) Asymptotic theory for the frailty model. Ann Stat 23: 182\u2013198","journal-title":"Ann Stat"},{"key":"9205_CR25","first-page":"25","volume":"19","author":"GG Nielsen","year":"1992","unstructured":"Nielsen GG, Gill RD, Andersen PK, S\u00f8rensen TIA (1992) A counting process approach to maximum likelihood estimation in frailty models. Scand J Stat 19: 25\u201343","journal-title":"Scand J Stat"},{"key":"9205_CR26","doi-asserted-by":"crossref","first-page":"412","DOI":"10.1111\/j.2517-6161.1982.tb01222.x","volume":"44","author":"D Oakes","year":"1982","unstructured":"Oakes D (1982) A model for association in bivariate survival data. J R Stat Soc Ser B 44: 412\u2013422","journal-title":"J R Stat Soc Ser B"},{"key":"9205_CR27","doi-asserted-by":"crossref","first-page":"487","DOI":"10.2307\/2289934","volume":"84","author":"D Oakes","year":"1989","unstructured":"Oakes D (1989) Bivariate survival models induced by frailties. J Am Stat Assoc 84: 487\u2013493","journal-title":"J Am Stat Assoc"},{"key":"9205_CR28","doi-asserted-by":"crossref","first-page":"183","DOI":"10.1214\/aos\/1030563982","volume":"26","author":"ET Parner","year":"1998","unstructured":"Parner ET (1998) Asymptotic theory for the correlated gamma-frailty model. Ann Stat 26: 183\u2013214","journal-title":"Ann Stat"},{"key":"9205_CR29","doi-asserted-by":"crossref","first-page":"295","DOI":"10.1111\/1467-9469.00238","volume":"28","author":"ET Parner","year":"2001","unstructured":"Parner ET (2001) A composite likelihood approach to multivariate survival data. Scand J Stat 28: 295\u2013302","journal-title":"Scand J Stat"},{"key":"9205_CR30","doi-asserted-by":"crossref","first-page":"207","DOI":"10.1046\/j.1369-7412.2003.05305.x","volume":"66","author":"CB Pipper","year":"2004","unstructured":"Pipper CB, Martinussen T (2004) An estimating equation for parametric shared frailty models with marginal additive hazards. J R Stat Soc Ser B 66: 207\u2013220","journal-title":"J R Stat Soc Ser B"},{"key":"9205_CR31","doi-asserted-by":"crossref","DOI":"10.1214\/cbms\/1462061091","volume-title":"Empirical processes: theory and applications, NSFCBMS regional conference series in probability and statistics","author":"D Pollard","year":"1990","unstructured":"Pollard D (1990) Empirical processes: theory and applications, NSFCBMS regional conference series in probability and statistics. Institute of Mathematical Statistics and American Statistical Association, Hayward"},{"key":"9205_CR32","doi-asserted-by":"crossref","first-page":"349","DOI":"10.1093\/biomet\/84.2.349","volume":"84","author":"RL Prentice","year":"1997","unstructured":"Prentice RL, Hsu L (1997) Regression on hazard ratios and cross ratios in multivariate failure time analysis. Biometrika 84: 349\u2013363","journal-title":"Biometrika"},{"key":"9205_CR33","doi-asserted-by":"crossref","first-page":"1016","DOI":"10.1111\/j.0006-341X.2000.01016.x","volume":"56","author":"S Ripatti","year":"2000","unstructured":"Ripatti S, Palmgren J (2000) Estimation of multivariate frailty models using penalized partial likelihood. Biometrics 56: 1016\u20131022","journal-title":"Biometrics"},{"key":"9205_CR34","doi-asserted-by":"crossref","first-page":"1384","DOI":"10.2307\/2533269","volume":"51","author":"JH Shih","year":"1995","unstructured":"Shih JH, Louis TA (1995) Inferences on the association parameter in copula models for bivariate survival data. Biometrics 51: 1384\u20131399","journal-title":"Biometrics"},{"key":"9205_CR35","doi-asserted-by":"crossref","first-page":"673","DOI":"10.1111\/j.1541-0420.2007.00756.x","volume":"63","author":"JH Shih","year":"2007","unstructured":"Shih JH, Lu SE (2007) Analysis of failure time data with multilevel clustering, with application to the child vitamin a intervention trial in Nepal. Biometrics 63: 673\u2013680","journal-title":"Biometrics"},{"key":"9205_CR36","doi-asserted-by":"crossref","first-page":"1164","DOI":"10.2307\/2669859","volume":"93","author":"CF Spiekerman","year":"1998","unstructured":"Spiekerman CF, Lin DY (1998) Marginal regression models for multivariate failure time data. J Am Stat Assoc 93: 1164\u20131175","journal-title":"J Am Stat Assoc"},{"key":"9205_CR37","doi-asserted-by":"crossref","first-page":"1065","DOI":"10.2307\/2290084","volume":"84","author":"LJ Wei","year":"1989","unstructured":"Wei LJ, Lin DY, Weissfeld L (1989) Regression analysis of multivariate incomplete failure time data by modeling marginal distributions. J Am Stat Assoc 84: 1065\u20131073","journal-title":"J Am Stat Assoc"},{"key":"9205_CR38","doi-asserted-by":"crossref","first-page":"627","DOI":"10.1093\/biomet\/93.3.627","volume":"93","author":"D Zeng","year":"2006","unstructured":"Zeng D, Lin DY (2006) Efficient estimation of semiparametric transformation models for counting processes. Biometrika 93: 627\u2013640","journal-title":"Biometrika"}],"container-title":["Lifetime Data Analysis"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10985-011-9205-1.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s10985-011-9205-1\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10985-011-9205-1","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,3,12]],"date-time":"2025-03-12T17:03:33Z","timestamp":1741799013000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s10985-011-9205-1"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2011,10,9]]},"references-count":38,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2012,1]]}},"alternative-id":["9205"],"URL":"https:\/\/doi.org\/10.1007\/s10985-011-9205-1","relation":{},"ISSN":["1380-7870","1572-9249"],"issn-type":[{"type":"print","value":"1380-7870"},{"type":"electronic","value":"1572-9249"}],"subject":[],"published":{"date-parts":[[2011,10,9]]}}}