A copula graphic estimator for the competing risks duration model with multiple spells is presented. By adopting a nested copula structure the dependencies between risks and spells are modelled separately. This breaks up an implicit restriction of popular duration models such as multivariate mixed proportional hazards. It is shown that the dependence structure between spells is identifiable and can be estimated, in contrast to the dependence structure between competing risks. Thus, by allowing these two components to differ, the model is not identifiable. This is an important finding related to the general identifiability of competing risks models. Various features of the model are investigated by simulations and its practicality is illustrated by an application to unemployment duration data. (C) 2020 Elsevier B.V. All rights reserved.
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Southern Calif Assoc Govt, 818 West 7th St,12th Floor, Los Angeles, CA 90017 USASouthern Calif Assoc Govt, 818 West 7th St,12th Floor, Los Angeles, CA 90017 USA
Kim, Kihong
Wang, Liming
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Portland State Univ, Nohad A Toulan Sch Urban Studies & Planning, 506 Southwest Mill St,Suite 350, Portland, OR 97201 USASouthern Calif Assoc Govt, 818 West 7th St,12th Floor, Los Angeles, CA 90017 USA
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Kings Coll London, Inst Math & Mol Biomed, Hodgkin Bldg, London SE1 1UL, England
Saddle Point Sci, London, EnglandKings Coll London, Inst Math & Mol Biomed, Hodgkin Bldg, London SE1 1UL, England
Rowley, M.
Garmo, H.
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Kings Coll London, Guys Hosp, Canc Epidemiol Grp, London, EnglandKings Coll London, Inst Math & Mol Biomed, Hodgkin Bldg, London SE1 1UL, England
Garmo, H.
Van Hemelrijck, M.
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Kings Coll London, Guys Hosp, Canc Epidemiol Grp, London, EnglandKings Coll London, Inst Math & Mol Biomed, Hodgkin Bldg, London SE1 1UL, England
Van Hemelrijck, M.
Wulaningsih, W.
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Kings Coll London, Guys Hosp, Canc Epidemiol Grp, London, EnglandKings Coll London, Inst Math & Mol Biomed, Hodgkin Bldg, London SE1 1UL, England
Wulaningsih, W.
Grundmark, B.
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Uppsala Univ, Dept Surg Sci, Uppsala, Sweden
Med Prod Agcy, Uppsala, SwedenKings Coll London, Inst Math & Mol Biomed, Hodgkin Bldg, London SE1 1UL, England
Grundmark, B.
Zethelius, B.
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Med Prod Agcy, Uppsala, Sweden
Uppsala Univ, Dept Publ Hlth & Caring Sci Geriatr, Uppsala, SwedenKings Coll London, Inst Math & Mol Biomed, Hodgkin Bldg, London SE1 1UL, England
Zethelius, B.
Hammar, N.
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Karolinska Inst, Inst Environm Med, Dept Epidemiol, Stockholm, Sweden
AstraZeneca Sverige, Sodertalje, SwedenKings Coll London, Inst Math & Mol Biomed, Hodgkin Bldg, London SE1 1UL, England
Hammar, N.
Walldius, G.
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Karolinska Inst, Inst Environm Med, Dept Cardiovasc Epidemiol, Stockholm, SwedenKings Coll London, Inst Math & Mol Biomed, Hodgkin Bldg, London SE1 1UL, England
Walldius, G.
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Inoue, M.
Holmberg, L.
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Kings Coll London, Guys Hosp, Canc Epidemiol Grp, London, EnglandKings Coll London, Inst Math & Mol Biomed, Hodgkin Bldg, London SE1 1UL, England
Holmberg, L.
Coolen, A. C. C.
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Kings Coll London, Inst Math & Mol Biomed, Hodgkin Bldg, London SE1 1UL, EnglandKings Coll London, Inst Math & Mol Biomed, Hodgkin Bldg, London SE1 1UL, England
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Kings Coll Hosp London, Fetal Med Res Inst, 16-20 Windsor Walk,Denmark Hill, London SE5 8BB, EnglandUniv Exeter, Inst Hlth Res, Exeter, Devon, England
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Mem Sloan Kettering Canc Ctr, Dept Epidemiol & Biostat, New York, NY 10021 USAMem Sloan Kettering Canc Ctr, Dept Epidemiol & Biostat, New York, NY 10021 USA
Kuk, Deborah
Varadhan, Ravi
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Johns Hopkins Univ, Sch Med, Div Geriatr Med & Gerontol, Ctr Aging & Hlth, Baltimore, MD USA
Johns Hopkins Bloomberg Sch Publ Hlth, Dept Biostat, Baltimore, MD USAMem Sloan Kettering Canc Ctr, Dept Epidemiol & Biostat, New York, NY 10021 USA