{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,7,2]],"date-time":"2026-07-02T16:39:26Z","timestamp":1783010366445,"version":"3.54.6"},"reference-count":24,"publisher":"Springer Science and Business Media LLC","issue":"1","license":[{"start":{"date-parts":[[2021,5,15]],"date-time":"2021-05-15T00:00:00Z","timestamp":1621036800000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springer.com\/tdm"},{"start":{"date-parts":[[2021,5,15]],"date-time":"2021-05-15T00:00:00Z","timestamp":1621036800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Comput Stat"],"published-print":{"date-parts":[[2022,3]]},"DOI":"10.1007\/s00180-021-01111-5","type":"journal-article","created":{"date-parts":[[2021,5,15]],"date-time":"2021-05-15T18:02:51Z","timestamp":1621101771000},"page":"29-42","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":3,"title":["Nonparametric estimation for competing risks survival data subject to left truncation and interval censoring"],"prefix":"10.1007","volume":"37","author":[{"given":"Pao-sheng","family":"Shen","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"297","published-online":{"date-parts":[[2021,5,15]]},"reference":[{"key":"1111_CR1","first-page":"15","volume":"3","author":"OO Aalen","year":"1976","unstructured":"Aalen OO (1976) Nonparametric inference in connection with multiple decrement models. Scand J Stat 3:15\u201327","journal-title":"Scand J Stat"},{"key":"1111_CR2","doi-asserted-by":"publisher","first-page":"512","DOI":"10.2307\/2532891","volume":"52","author":"A Alioum","year":"1996","unstructured":"Alioum A, Commenges D (1996) A proportional hazards model for arbitrarily censored and truncated data. Biometrics 52:512\u2013524","journal-title":"Biometrics"},{"key":"1111_CR3","doi-asserted-by":"publisher","first-page":"4086","DOI":"10.1002\/sim.8711","volume":"39","author":"C-M Chen","year":"2020","unstructured":"Chen C-M, Shen P-S, Lin C-C, Wu C-C (2020) Semiparametric mixture cure model analysis with competing risks data: application to vascular access thrombosis data. Stat Med 39:4086\u20134099","journal-title":"Stat Med"},{"key":"1111_CR4","doi-asserted-by":"publisher","first-page":"588","DOI":"10.1111\/biom.12167","volume":"70","author":"S Choi","year":"2014","unstructured":"Choi S, Huang X (2014) Maximum likelihood estimation of semiparametric mixture component models for competing risks data. Biometrics 70:588\u2013598","journal-title":"Biometrics"},{"key":"1111_CR5","doi-asserted-by":"crossref","first-page":"71","DOI":"10.1111\/j.2517-6161.1994.tb01960.x","volume":"56","author":"H Frydman","year":"1994","unstructured":"Frydman H (1994) A note on nonparametric estimation of the distribution function from interval-censored and truncated data. J Roy Stat Soc B 56:71\u201374","journal-title":"J Roy Stat Soc B"},{"key":"1111_CR6","doi-asserted-by":"publisher","first-page":"618","DOI":"10.1093\/biomet\/81.3.618","volume":"81","author":"R Gentleman","year":"1994","unstructured":"Gentleman R, Geyer CJ (1994) Maximum likelihood for interval censored data: consistency and computation. Biometrika 81:618\u2013623","journal-title":"Biometrika"},{"key":"1111_CR7","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-0348-8621-5","volume-title":"Information bounds and nonparametric maximum likelihood estimation","author":"P Groeneboom","year":"1992","unstructured":"Groeneboom P, Wellner JA (1992) Information bounds and nonparametric maximum likelihood estimation. Birkh\u00e4user, Basel"},{"key":"1111_CR8","doi-asserted-by":"publisher","first-page":"74","DOI":"10.1111\/j.0006-341X.2001.00074.x","volume":"57","author":"MG Hudgens","year":"2001","unstructured":"Hudgens MG, Satten GA, Longini IM Jr (2001) Nonparametric maximum likelihood estimation for competing risks survival data subject to interval censoring and truncation. Biometrics 57:74\u201380","journal-title":"Biometrics"},{"key":"1111_CR9","doi-asserted-by":"publisher","first-page":"573","DOI":"10.1111\/j.1467-9868.2005.00516.x","volume":"67","author":"MG Hudgens","year":"2005","unstructured":"Hudgens MG (2005) On nonparametric maximum likelihood estimation with interval censoring and truncation. J Roy Stat Soc B 67:573\u2013587","journal-title":"J Roy Stat Soc B"},{"key":"1111_CR10","doi-asserted-by":"publisher","DOI":"10.1002\/9781118032985","volume-title":"The statistical analysis of failure time data","author":"JD Kalbfleisch","year":"2002","unstructured":"Kalbfleisch JD, Prentice RL (2002) The statistical analysis of failure time data. Wiley, New York"},{"key":"1111_CR11","doi-asserted-by":"publisher","first-page":"573","DOI":"10.1111\/rssb.12177","volume":"79","author":"DY Lin","year":"2017","unstructured":"Lin DY, Mao L (2017) Efficient Estimation of semiparametric transformation models for the cumulative incidence of competing risks. J R Stat Soc Ser B (Stat Methodol) 79:573\u2013587","journal-title":"J R Stat Soc Ser B (Stat Methodol)"},{"key":"1111_CR12","doi-asserted-by":"publisher","first-page":"1285","DOI":"10.1007\/s00180-017-0716-4","volume":"32","author":"M Mahdizadeh","year":"2017","unstructured":"Mahdizadeh M, Strzalkowska-Kominiak E (2017) Resampling based inference for a distribution function using censored ranked set samples. Comput Stat 32:1285\u20131308","journal-title":"Comput Stat"},{"key":"1111_CR13","doi-asserted-by":"publisher","first-page":"1325","DOI":"10.1007\/s00180-018-0795-x","volume":"33","author":"M Mahdizadeh","year":"2018","unstructured":"Mahdizadeh M, Zamanzade E (2018) Interval estimation of P(XY) in ranked set sampling. Comput Stat 33:1325\u20131348","journal-title":"Comput Stat"},{"key":"1111_CR14","doi-asserted-by":"publisher","first-page":"187","DOI":"10.1023\/A:1009637624440","volume":"4","author":"W Pan","year":"1998","unstructured":"Pan W, Chappell R (1998) A nonparametric estimator of survival functions for arbitrarily truncated and censored data. Lifetime Data Anal 4:187\u2013202","journal-title":"Lifetime Data Anal"},{"key":"1111_CR15","doi-asserted-by":"publisher","first-page":"479","DOI":"10.1007\/s00180-020-01021-y","volume":"36","author":"J Ren","year":"2021","unstructured":"Ren J, Gui W (2021) Inference and optimal censoring scheme for progressively Type-II censored competing risks model for generalized Rayleigh distribution. Comput Stat 36:479\u2013513","journal-title":"Comput Stat"},{"issue":"2","key":"1111_CR16","doi-asserted-by":"publisher","first-page":"1","DOI":"10.18637\/jss.v038.i02","volume":"38","author":"TH Scheike","year":"2011","unstructured":"Scheike TH, Zhang M-J (2011) Analyzing competing risk data using the R timereg package. J Stat Softw 38(2):1\u201316","journal-title":"J Stat Softw"},{"key":"1111_CR17","doi-asserted-by":"publisher","first-page":"45","DOI":"10.1111\/1467-9469.00177","volume":"27","author":"A Schick","year":"2000","unstructured":"Schick A, Yu Q (2000) Consistency of the GMLE with mixed case interval-censored data. Scand J Stat 27:45\u201355","journal-title":"Scand J Stat"},{"key":"1111_CR18","doi-asserted-by":"publisher","first-page":"624","DOI":"10.1007\/s10985-020-09493-2","volume":"26","author":"P-S Shen","year":"2020","unstructured":"Shen P-S (2020) Nonparametric Estimators of survival function under the mixed case interval-censored model with left truncation. Lifetime Data Anal 26:624\u2013637","journal-title":"Lifetime Data Anal"},{"key":"1111_CR19","first-page":"269","volume":"14","author":"S Song","year":"2004","unstructured":"Song S (2004) Estimation with univariate \u201cmixed case\u2019\u2019 interval censored data. Stat Sin 14:269\u2013282","journal-title":"Stat Sin"},{"key":"1111_CR20","doi-asserted-by":"crossref","first-page":"290","DOI":"10.1111\/j.2517-6161.1976.tb01597.x","volume":"38","author":"BW Turnbull","year":"1976","unstructured":"Turnbull BW (1976) The empirical distribution with arbitrarily grouped, censored and truncated data. J R Stat Soc Ser B 38:290\u2013295","journal-title":"J R Stat Soc Ser B"},{"key":"1111_CR21","doi-asserted-by":"publisher","first-page":"397","DOI":"10.1097\/00002030-200102160-00013","volume":"15","author":"S Vanichseni","year":"2001","unstructured":"Vanichseni S, Kitayaporn D, Mastro TD, Mock PA, Raktham S, Des Jarlais DC, Sujarita S, Srisuwanvilai LO, Young NL, Wasi C, Subbarao S, Heyward WL, Esparza L, Choopanya K (2001) Continued high HIV-1 incidence in a vaccine trial preparatory cohort of injection drug users in Bangkok, Thailand. AIDS 15:397\u2013405","journal-title":"AIDS"},{"key":"1111_CR22","doi-asserted-by":"publisher","first-page":"619","DOI":"10.2307\/3315721","volume":"26","author":"Q Yu","year":"1998","unstructured":"Yu Q, Schick A, Li L, Wong GYC (1998a) Asymptotic properties of the GMLE in the case 1 interval-censorship model with discrete inspection times. Can J Stat 26:619\u2013627","journal-title":"Can J Stat"},{"key":"1111_CR23","doi-asserted-by":"publisher","first-page":"223","DOI":"10.1016\/S0167-7152(97)00120-X","volume":"37","author":"Q Yu","year":"1998","unstructured":"Yu Q, Schick A, Li L, Wong GYC (1998b) Asymptotic properties of the GMLE with case 2 interval-censored data. Stat Probab Lett 37:223\u2013228","journal-title":"Stat Probab Lett"},{"key":"1111_CR24","doi-asserted-by":"publisher","first-page":"1933","DOI":"10.1002\/sim.4264","volume":"30","author":"X Zhang","year":"2011","unstructured":"Zhang X, Zhang M-J, Fine J (2011) A proportional hazards regression model for the subdistribution with right-censored and left-truncated competing risks data. Stat Med 30:1933\u20131951","journal-title":"Stat Med"}],"container-title":["Computational Statistics"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s00180-021-01111-5.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s00180-021-01111-5\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s00180-021-01111-5.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,8,30]],"date-time":"2024-08-30T22:58:33Z","timestamp":1725058713000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/s00180-021-01111-5"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2021,5,15]]},"references-count":24,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2022,3]]}},"alternative-id":["1111"],"URL":"https:\/\/doi.org\/10.1007\/s00180-021-01111-5","relation":{},"ISSN":["0943-4062","1613-9658"],"issn-type":[{"value":"0943-4062","type":"print"},{"value":"1613-9658","type":"electronic"}],"subject":[],"published":{"date-parts":[[2021,5,15]]},"assertion":[{"value":"2 December 2020","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"5 May 2021","order":2,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"15 May 2021","order":3,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}]}}