{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,5]],"date-time":"2025-10-05T04:19:17Z","timestamp":1759637957414},"reference-count":25,"publisher":"Cambridge University Press (CUP)","issue":"4","license":[{"start":{"date-parts":[[2020,3,3]],"date-time":"2020-03-03T00:00:00Z","timestamp":1583193600000},"content-version":"unspecified","delay-in-days":0,"URL":"https:\/\/www.cambridge.org\/core\/terms"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Econom. Theory"],"published-print":{"date-parts":[[2020,8]]},"abstract":"<jats:p>In multilevel modeling of clustered survival data, to account for the differences among different clusters, a commonly used approach is to introduce cluster effects, either random or fixed, into the model. Modeling with random effects may lead to difficulties in the implementation of the estimation procedure for the unknown parameters of interest because the numerical computation of multiple integrals may become unavoidable when the cluster effects are not scalars. On the other hand, if fixed effects are used, there is a danger of having estimators with large variances because there are too many nuisance parameters involved in the model. In this article, using the idea of the homogeneity pursuit, we propose a new multilevel modeling approach for clustered survival data. The proposed modeling approach does not have the potential computational problem as modeling with random effects, and it also involves far fewer unknown parameters than modeling with fixed effects. We also establish asymptotic properties to show the advantages of the proposed model and conduct intensive simulation studies to demonstrate the performance of the proposed method. Finally, the proposed method is applied to analyze a dataset on the second-birth interval in Bangladesh. The most interesting finding is the impact of some important factors on the length of the second-birth interval variation over clusters and its homogeneous structure.<\/jats:p>","DOI":"10.1017\/s0266466619000343","type":"journal-article","created":{"date-parts":[[2020,3,3]],"date-time":"2020-03-03T06:04:58Z","timestamp":1583215498000},"page":"707-750","source":"Crossref","is-referenced-by-count":5,"title":["A NEW MULTILEVEL MODELING APPROACH FOR CLUSTERED SURVIVAL DATA"],"prefix":"10.1017","volume":"36","author":[{"given":"Jinfeng","family":"Xu","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Mu","family":"Yue","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Wenyang","family":"Zhang","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"56","published-online":{"date-parts":[[2020,3,3]]},"reference":[{"key":"S0266466619000343_r24","article-title":"Identifying latent group structures in nonlinear panels.","author":"Wang","year":"2019","journal-title":"Journal of Econometrics"},{"key":"S0266466619000343_r5","doi-asserted-by":"publisher","DOI":"10.3982\/ECTA11319"},{"volume-title":"Iterative Solution of Nonlinear Equations in Several Variables","year":"1970","author":"Ortega","key":"S0266466619000343_r16"},{"key":"S0266466619000343_r14","doi-asserted-by":"publisher","DOI":"10.1080\/01621459.2014.892882"},{"key":"S0266466619000343_r18","doi-asserted-by":"publisher","DOI":"10.3982\/ECTA12560"},{"key":"S0266466619000343_r12","first-page":"13","volume-title":"Probability Inequalities for Sums of Bounded Random Variables","volume":"58","author":"Hoeffding","year":"1963"},{"key":"S0266466619000343_r13","doi-asserted-by":"publisher","DOI":"10.1214\/15-AOS1403"},{"key":"S0266466619000343_r21","doi-asserted-by":"publisher","DOI":"10.1111\/j.0006-341X.2000.00256.x"},{"volume-title":"Counting Processes and Survival Analysis.","year":"2011","author":"Fleming","key":"S0266466619000343_r9"},{"key":"S0266466619000343_r1","doi-asserted-by":"publisher","DOI":"10.1214\/aos\/1176345976"},{"key":"S0266466619000343_r2","doi-asserted-by":"publisher","DOI":"10.1080\/01621459.2016.1195743"},{"key":"S0266466619000343_r19","doi-asserted-by":"publisher","DOI":"10.1080\/07350015.2017.1340299"},{"key":"S0266466619000343_r4","doi-asserted-by":"publisher","DOI":"10.1017\/S0266466600005831"},{"key":"S0266466619000343_r7","first-page":"216","article-title":"Comment on \u201cregression and life tables\u201d by DR Cox","volume":"34","author":"Breslow","year":"1972","journal-title":"Journal of the Royal Statistical Society, Series B"},{"key":"S0266466619000343_r10","first-page":"100","article-title":"Algorithm as 136: A k-means clustering algorithm.","volume":"28","author":"Hartigan","year":"1979","journal-title":"Journal of the Royal Statistical Society, Series C"},{"key":"S0266466619000343_r23","doi-asserted-by":"publisher","DOI":"10.1002\/jae.2632"},{"volume-title":"Multilevel Statistical Models","year":"2003","author":"Harvey","key":"S0266466619000343_r11"},{"key":"S0266466619000343_r17","doi-asserted-by":"publisher","DOI":"10.1016\/j.jeconom.2018.06.014"},{"key":"S0266466619000343_r8","doi-asserted-by":"crossref","first-page":"187","DOI":"10.1111\/j.2517-6161.1972.tb00899.x","article-title":"Regression models and life tables (with discussion).","volume":"34","author":"David","year":"1972","journal-title":"Journal of the Royal Statistical Society, Series B"},{"key":"S0266466619000343_r20","unstructured":"Venkatraman, E.S. (1993) Consistency results in multiple change-point problems. Ph.D. thesis, Stanford Univ., ProQuest LLC, Ann Arbor, MI."},{"key":"S0266466619000343_r22","first-page":"270","article-title":"Detection of the disorder in multidimensional random-processes.","volume":"259","author":"Vostrikova","year":"1981","journal-title":"Doklady Akademii Nauk SSSR"},{"key":"S0266466619000343_r25","first-page":"387","article-title":"A semiparametric multilevel survival model.","volume":"53","author":"Zhang","year":"2004","journal-title":"Journal of the Royal Statistical Society: Series C (Applied Statistics)"},{"key":"S0266466619000343_r3","doi-asserted-by":"publisher","DOI":"10.2748\/tmj\/1178243286"},{"key":"S0266466619000343_r6","doi-asserted-by":"publisher","DOI":"10.1214\/11-AOS911"},{"volume-title":"Bangladesh Demographic and Health Survey 1996\u20131997","year":"1997","author":"Mitra","key":"S0266466619000343_r15"}],"container-title":["Econometric Theory"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.cambridge.org\/core\/services\/aop-cambridge-core\/content\/view\/S0266466619000343","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,8,1]],"date-time":"2024-08-01T13:16:26Z","timestamp":1722518186000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.cambridge.org\/core\/product\/identifier\/S0266466619000343\/type\/journal_article"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2020,3,3]]},"references-count":25,"journal-issue":{"issue":"4","published-print":{"date-parts":[[2020,8]]}},"alternative-id":["S0266466619000343"],"URL":"https:\/\/doi.org\/10.1017\/s0266466619000343","relation":{},"ISSN":["0266-4666","1469-4360"],"issn-type":[{"type":"print","value":"0266-4666"},{"type":"electronic","value":"1469-4360"}],"subject":[],"published":{"date-parts":[[2020,3,3]]}}}