{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,6]],"date-time":"2026-03-06T15:17:05Z","timestamp":1772810225496,"version":"3.50.1"},"reference-count":50,"publisher":"Wiley","issue":"23","license":[{"start":{"date-parts":[[2019,7,29]],"date-time":"2019-07-29T00:00:00Z","timestamp":1564358400000},"content-version":"vor","delay-in-days":0,"URL":"http:\/\/onlinelibrary.wiley.com\/termsAndConditions#vor"}],"funder":[{"DOI":"10.13039\/100000002","name":"National Institutes of Health","doi-asserted-by":"publisher","award":["CA216017"],"award-info":[{"award-number":["CA216017"]}],"id":[{"id":"10.13039\/100000002","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/100000002","name":"National Institutes of Health","doi-asserted-by":"publisher","award":["CA121974"],"award-info":[{"award-number":["CA121974"]}],"id":[{"id":"10.13039\/100000002","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/100000002","name":"National Institutes of Health","doi-asserted-by":"publisher","award":["CA204120"],"award-info":[{"award-number":["CA204120"]}],"id":[{"id":"10.13039\/100000002","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["91546202"],"award-info":[{"award-number":["91546202"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["71331006"],"award-info":[{"award-number":["71331006"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/100009376","name":"National Bureau of Statistics of China","doi-asserted-by":"publisher","award":["2018LD02"],"award-info":[{"award-number":["2018LD02"]}],"id":[{"id":"10.13039\/100009376","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100003024","name":"Shanghai Education Development Foundation","doi-asserted-by":"publisher","award":["18CG42"],"award-info":[{"award-number":["18CG42"]}],"id":[{"id":"10.13039\/501100003024","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["onlinelibrary.wiley.com"],"crossmark-restriction":true},"short-container-title":["Statistics in Medicine"],"published-print":{"date-parts":[[2019,10,15]]},"abstract":"<jats:p>For the pathogenesis of complex diseases, gene\u2010environment (G\u2010E) interactions have been shown to have important implications. G\u2010E interaction analysis can be challenging with the need to jointly analyze a large number of main effects and interactions and to respect the \u201cmain effects, interactions\u201d hierarchical constraint. Extensive methodological developments on G\u2010E interaction analysis have been conducted in recent literature. Despite considerable successes, most of the existing studies are still limited as they cannot accommodate long\u2010tailed distributions\/data contamination, make the restricted assumption of linear effects, and cannot effectively accommodate missingness in E variables. To directly tackle these problems, a semiparametric model is assumed to accommodate nonlinear effects, and the Huber loss function and <jats:italic>Q<\/jats:italic><jats:sub><jats:italic>n<\/jats:italic><\/jats:sub> estimator are adopted to accommodate long\u2010tailed distributions\/data contamination. A regression\u2010based multiple imputation approach is developed to accommodate missingness in E variables. For model estimation and selection of relevant variables, we adopt an effective sparse boosting approach. The proposed approach is practically well motivated, has intuitive formulations, and can be effectively realized. In extensive simulations, it significantly outperforms multiple direct competitors. The analysis of The Cancer Genome Atlas data on stomach adenocarcinoma and cutaneous melanoma shows that the proposed approach makes sensible discoveries with satisfactory prediction and stability.<\/jats:p>","DOI":"10.1002\/sim.8322","type":"journal-article","created":{"date-parts":[[2019,7,30]],"date-time":"2019-07-30T04:49:54Z","timestamp":1564462194000},"page":"4625-4641","update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":14,"title":["Robust semiparametric gene\u2010environment interaction analysis using sparse boosting"],"prefix":"10.1002","volume":"38","author":[{"given":"Mengyun","family":"Wu","sequence":"first","affiliation":[{"name":"School of Statistics and Management Shanghai University of Finance and Economics  Shanghai China"},{"name":"Department of Biostatistics Yale University  New Haven Connecticut"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-9001-4999","authenticated-orcid":false,"given":"Shuangge","family":"Ma","sequence":"additional","affiliation":[{"name":"Department of Biostatistics Yale University  New Haven Connecticut"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"311","published-online":{"date-parts":[[2019,7,29]]},"reference":[{"key":"e_1_2_8_2_1","doi-asserted-by":"publisher","DOI":"10.1038\/nrg2764"},{"key":"e_1_2_8_3_1","doi-asserted-by":"publisher","DOI":"10.1002\/gepi.21967"},{"key":"e_1_2_8_4_1","doi-asserted-by":"publisher","DOI":"10.1002\/gepi.21977"},{"key":"e_1_2_8_5_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.ygeno.2018.07.006"},{"key":"e_1_2_8_6_1","doi-asserted-by":"publisher","DOI":"10.1111\/biom.12374"},{"key":"e_1_2_8_7_1","doi-asserted-by":"publisher","DOI":"10.1002\/sim.7518"},{"key":"e_1_2_8_8_1","doi-asserted-by":"publisher","DOI":"10.1214\/13-AOS1096"},{"key":"e_1_2_8_9_1","doi-asserted-by":"publisher","DOI":"10.1080\/00031305.2016.1264311"},{"issue":"6","key":"e_1_2_8_10_1","first-page":"1","article-title":"The power of outliers (and why researchers should always check for them)","volume":"9","author":"Osborne JW","year":"2010","journal-title":"Pract Assess Res Eval"},{"key":"e_1_2_8_11_1","doi-asserted-by":"publisher","DOI":"10.1214\/13-AOS1191"},{"issue":"1","key":"e_1_2_8_12_1","first-page":"69","article-title":"Regularized quantile regression and robust feature screening for single index models","volume":"26","author":"Zhong W","year":"2016","journal-title":"Stat Sinica"},{"key":"e_1_2_8_13_1","doi-asserted-by":"publisher","DOI":"10.1093\/bib\/bbu046"},{"key":"e_1_2_8_14_1","doi-asserted-by":"publisher","DOI":"10.1093\/bib\/bby033"},{"key":"e_1_2_8_15_1","doi-asserted-by":"publisher","DOI":"10.1038\/ijo.2010.69"},{"key":"e_1_2_8_16_1","doi-asserted-by":"publisher","DOI":"10.1177\/0962280210395740"},{"key":"e_1_2_8_17_1","doi-asserted-by":"publisher","DOI":"10.1109\/TFUZZ.2004.834810"},{"key":"e_1_2_8_18_1","doi-asserted-by":"publisher","DOI":"10.1002\/sim.6609"},{"key":"e_1_2_8_19_1","doi-asserted-by":"publisher","DOI":"10.1214\/aoms\/1177703732"},{"key":"e_1_2_8_20_1","doi-asserted-by":"publisher","DOI":"10.1214\/aos\/1013203451"},{"key":"e_1_2_8_21_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.csda.2007.11.006"},{"key":"e_1_2_8_22_1","first-page":"1001","article-title":"Sparse boosting","volume":"7","author":"B\u00fchlmann P","year":"2006","journal-title":"J Mach Learn Res"},{"key":"e_1_2_8_23_1","doi-asserted-by":"publisher","DOI":"10.1002\/sim.7138"},{"key":"e_1_2_8_24_1","doi-asserted-by":"publisher","DOI":"10.1002\/gepi.21807"},{"key":"e_1_2_8_25_1","first-page":"461","article-title":"Distributional convergence under random censorship when covariables are present","volume":"23","author":"Stute W","year":"1996","journal-title":"Scand J Stat"},{"key":"e_1_2_8_26_1","doi-asserted-by":"publisher","DOI":"10.1198\/016214507000000518"},{"key":"e_1_2_8_27_1","doi-asserted-by":"publisher","DOI":"10.1002\/sim.6553"},{"key":"e_1_2_8_28_1","doi-asserted-by":"publisher","DOI":"10.1111\/j.1467-9868.2011.01005.x"},{"key":"e_1_2_8_29_1","doi-asserted-by":"publisher","DOI":"10.1111\/j.1467-9868.2010.00740.x"},{"key":"e_1_2_8_30_1","doi-asserted-by":"publisher","DOI":"10.1002\/sim.4067"},{"key":"e_1_2_8_31_1","doi-asserted-by":"publisher","DOI":"10.1214\/09-AOS729"},{"key":"e_1_2_8_32_1","doi-asserted-by":"publisher","DOI":"10.1002\/sim.4154"},{"key":"e_1_2_8_33_1","doi-asserted-by":"publisher","DOI":"10.18637\/jss.v082.i12"},{"key":"e_1_2_8_34_1","doi-asserted-by":"publisher","DOI":"10.7150\/ijms.3859"},{"key":"e_1_2_8_35_1","doi-asserted-by":"publisher","DOI":"10.1074\/mcp.M110.000661"},{"key":"e_1_2_8_36_1","doi-asserted-by":"publisher","DOI":"10.1007\/s10120-015-0514-z"},{"key":"e_1_2_8_37_1","doi-asserted-by":"publisher","DOI":"10.1002\/(SICI)1097-0215(19980302)75:5<774::AID-IJC18>3.0.CO;2-6"},{"key":"e_1_2_8_38_1","doi-asserted-by":"publisher","DOI":"10.2174\/092986708784310413"},{"key":"e_1_2_8_39_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.bbamcr.2014.12.004"},{"key":"e_1_2_8_40_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.ejso.2014.04.005"},{"key":"e_1_2_8_41_1","doi-asserted-by":"publisher","DOI":"10.1186\/s12885-015-1343-5"},{"key":"e_1_2_8_42_1","doi-asserted-by":"publisher","DOI":"10.1093\/bioinformatics\/btn634"},{"key":"e_1_2_8_43_1","doi-asserted-by":"publisher","DOI":"10.1007\/s10985-009-9144-2"},{"key":"e_1_2_8_44_1","doi-asserted-by":"publisher","DOI":"10.1038\/onc.2008.355"},{"key":"e_1_2_8_45_1","doi-asserted-by":"publisher","DOI":"10.1080\/15384047.2016.1167291"},{"key":"e_1_2_8_46_1","doi-asserted-by":"publisher","DOI":"10.1186\/1476-4598-11-76"},{"key":"e_1_2_8_47_1","doi-asserted-by":"publisher","DOI":"10.1309\/AJCPCX2D9YULBBLG"},{"key":"e_1_2_8_48_1","doi-asserted-by":"publisher","DOI":"10.1172\/JCI86953"},{"key":"e_1_2_8_49_1","doi-asserted-by":"publisher","DOI":"10.1134\/S1990519X13030073"},{"key":"e_1_2_8_50_1","first-page":"1037","article-title":"Partial linear varying multi\u2010index coefficient model for integrative gene\u2010environment interactions","volume":"26","author":"Liu X","year":"2016","journal-title":"Stat Sinica"},{"key":"e_1_2_8_51_1","doi-asserted-by":"publisher","DOI":"10.1111\/j.1467-9868.2010.00764.x"}],"container-title":["Statistics in Medicine"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.wiley.com\/onlinelibrary\/tdm\/v1\/articles\/10.1002%2Fsim.8322","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/pdf\/10.1002\/sim.8322","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/full-xml\/10.1002\/sim.8322","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/pdf\/10.1002\/sim.8322","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,9,9]],"date-time":"2023-09-09T22:22:04Z","timestamp":1694298124000},"score":1,"resource":{"primary":{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/10.1002\/sim.8322"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2019,7,29]]},"references-count":50,"journal-issue":{"issue":"23","published-print":{"date-parts":[[2019,10,15]]}},"alternative-id":["10.1002\/sim.8322"],"URL":"https:\/\/doi.org\/10.1002\/sim.8322","archive":["Portico"],"relation":{},"ISSN":["0277-6715","1097-0258"],"issn-type":[{"value":"0277-6715","type":"print"},{"value":"1097-0258","type":"electronic"}],"subject":[],"published":{"date-parts":[[2019,7,29]]},"assertion":[{"value":"2018-09-02","order":0,"name":"received","label":"Received","group":{"name":"publication_history","label":"Publication History"}},{"value":"2019-06-19","order":1,"name":"accepted","label":"Accepted","group":{"name":"publication_history","label":"Publication History"}},{"value":"2019-07-29","order":2,"name":"published","label":"Published","group":{"name":"publication_history","label":"Publication History"}}]}}