{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,10,9]],"date-time":"2026-10-09T07:30:17Z","timestamp":1791531017582,"version":"4.3.4"},"reference-count":24,"publisher":"Wiley","issue":"13","license":[{"start":{"date-parts":[[2012,2,17]],"date-time":"2012-02-17T00:00:00Z","timestamp":1329436800000},"content-version":"vor","delay-in-days":0,"URL":"http:\/\/onlinelibrary.wiley.com\/termsAndConditions#vor"},{"start":{"date-parts":[[2015,9,1]],"date-time":"2015-09-01T00:00:00Z","timestamp":1441065600000},"content-version":"tdm","delay-in-days":1292,"URL":"http:\/\/doi.wiley.com\/10.1002\/tdm_license_1.1"}],"content-domain":{"domain":["wiley.com"],"crossmark-restriction":true},"short-container-title":["Statistics in Medicine"],"published-print":{"date-parts":[[2012,6,15]]},"abstract":"<jats:p>The accelerated failure time model is frequently used in survival analysis because of its direct physical interpretation. Semiparametric inference methods have been extensively investigated for this model. However, the accelerated failure time model and the existing inference methods assume homogeneity of the survival data after taking log\u2010transformation. This assumption is not always appropriate because heterogeneous data are often encountered in practice. In dealing with this heterogeneity, Yu, Yu, and Liu proposed a parametric quasi\u2010likelihood method by assuming a known variance function, which may not be realistic for real data. In this paper, we extend the parametric quasi\u2010likelihood method to semiparametric via relaxing its assumption and approximating the unknown variance function by using fractional polynomials approach. Simulations show that this novel extension performs superior to other methods in statistical properties of unbiasedness, efficiency, and correct coverage probability in finite samples. An application to real data set in primary biliary cirrhosis demonstrates the applicability of this new methodology. Copyright \u00a9 2012 John Wiley &amp; Sons, Ltd.<\/jats:p>","DOI":"10.1002\/sim.4470","type":"journal-article","created":{"date-parts":[[2012,2,17]],"date-time":"2012-02-17T08:08:27Z","timestamp":1329466107000},"page":"1369-1379","update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":5,"title":["Extended quasi\u2010likelihood with fractional polynomials in the frame of the accelerated failure time model"],"prefix":"10.1002","volume":"31","author":[{"given":"Lili","family":"Yu","sequence":"first","affiliation":[{"name":"Jiann\u2010Ping Hsu College of Public Health Georgia Southern University  GA U.S.A."}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Ruifeng","family":"Yu","sequence":"additional","affiliation":[{"name":"Department of Industrial Engineering Tsinghua University  Beijing China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Liang","family":"Liu","sequence":"additional","affiliation":[{"name":"Department of Statistics University of Georgia  Athens GA U.S.A."}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Ding\u2010Geng","family":"Chen","sequence":"additional","affiliation":[{"name":"Jiann\u2010Ping Hsu College of Public Health Georgia Southern University  GA U.S.A."},{"name":"School of Nursing University of Rochester  Rochester NY U.S.A."},{"name":"Department of Biostatistics and Computational Biology, College of Medicine and Dentistry University of Rochester  Rochester NY U.S.A."}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"311","published-online":{"date-parts":[[2012,2,17]]},"reference":[{"key":"e_1_2_7_2_1","doi-asserted-by":"publisher","DOI":"10.1111\/j.2517-6161.1972.tb00899.x"},{"key":"e_1_2_7_3_1","volume-title":"The Statistical Analysis of Failure Time Data","author":"Kalbfleisch DJ","year":"1980"},{"key":"e_1_2_7_4_1","doi-asserted-by":"publisher","DOI":"10.1093\/biomet\/66.3.429"},{"key":"e_1_2_7_5_1","doi-asserted-by":"publisher","DOI":"10.1214\/aos\/1176348253"},{"key":"e_1_2_7_6_1","doi-asserted-by":"publisher","DOI":"10.1093\/biomet\/93.1.147"},{"key":"e_1_2_7_7_1","doi-asserted-by":"publisher","DOI":"10.1214\/aos\/1176347504"},{"key":"e_1_2_7_8_1","doi-asserted-by":"publisher","DOI":"10.1093\/biomet\/90.2.341"},{"key":"e_1_2_7_9_1","doi-asserted-by":"publisher","DOI":"10.1214\/aos\/1176348110"},{"key":"e_1_2_7_10_1","doi-asserted-by":"publisher","DOI":"10.1111\/j.1467-9469.2005.00487.x"},{"key":"e_1_2_7_11_1","doi-asserted-by":"publisher","DOI":"10.1080\/03610920802499504"},{"key":"e_1_2_7_12_1","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4757-3294-8"},{"key":"e_1_2_7_13_1","first-page":"67","volume-title":"Perspectives in Probability and Statistics","author":"Meier P","year":"1975"},{"key":"e_1_2_7_14_1","doi-asserted-by":"publisher","DOI":"10.1214\/aos\/1176347502"},{"key":"e_1_2_7_15_1","doi-asserted-by":"publisher","DOI":"10.1198\/016214508000000184"},{"key":"e_1_2_7_16_1","doi-asserted-by":"publisher","DOI":"10.2307\/2986270"},{"key":"e_1_2_7_17_1","doi-asserted-by":"publisher","DOI":"10.1111\/1467-9884.00093"},{"key":"e_1_2_7_18_1","doi-asserted-by":"publisher","DOI":"10.1080\/00949650108812083"},{"key":"e_1_2_7_19_1","doi-asserted-by":"publisher","DOI":"10.1111\/j.1539-6924.2006.00863.x"},{"key":"e_1_2_7_20_1","doi-asserted-by":"publisher","DOI":"10.1111\/j.1539-6924.2008.01063.x"},{"key":"e_1_2_7_21_1","doi-asserted-by":"publisher","DOI":"10.1002\/sim.2291"},{"key":"e_1_2_7_22_1","doi-asserted-by":"publisher","DOI":"10.1002\/sim.1815"},{"key":"e_1_2_7_23_1","doi-asserted-by":"publisher","DOI":"10.1002\/sim.2399"},{"key":"e_1_2_7_24_1","doi-asserted-by":"publisher","DOI":"10.1093\/biomet\/73.1.35"},{"key":"e_1_2_7_25_1","doi-asserted-by":"publisher","DOI":"10.1093\/biomet\/69.3.521"}],"container-title":["Statistics in Medicine"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.wiley.com\/onlinelibrary\/tdm\/v1\/articles\/10.1002%2Fsim.4470","content-type":"unspecified","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/pdf\/10.1002\/sim.4470","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,10,30]],"date-time":"2023-10-30T05:53:52Z","timestamp":1698645232000},"score":1,"resource":{"primary":{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/10.1002\/sim.4470"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2012,2,17]]},"references-count":24,"journal-issue":{"issue":"13","published-print":{"date-parts":[[2012,6,15]]}},"alternative-id":["10.1002\/sim.4470"],"URL":"https:\/\/doi.org\/10.1002\/sim.4470","archive":["Portico"],"relation":{},"ISSN":["0277-6715","1097-0258"],"issn-type":[{"value":"0277-6715","type":"print"},{"value":"1097-0258","type":"electronic"}],"subject":[],"published":{"date-parts":[[2012,2,17]]}}}