Introduction
This table has been created as part of the manuscript:
Copula-Based Models for Competing Risks: A comprehensive
review published in the Journal of Statistical Papers with the
aim of consolidating articles that has covered CR models using copulas.
The table provides such details, and was constructed using package:
reactable (Lin, 2023).
Explanation of the table columns
The interactive table columns have the following interpretation:
Title title of the article
Truncation type of truncation
Censoring type of censoring
Estimation type of estimation, ML -
Maximum likelihood, PL - Pseudo likelihood, CG
- Copula Graphic, Bayesian or MacL - Machine
learning
Domain Field of study Survival,
Actuarial, Econometrics,
Social sciences, Hydrology,
Reliability, or Others
Copula_type copula type, including
Arch - if Archimidean is used in general, Gaus
- Gaussian, FGM - Farlie–Gumbel–Morgenstern,
AMH - Ali-Mikhail-Haq, Symm - Symmetric
copulas
Covariates whether covariates are used or not
Code availability of code used to generate
results
Author(s) name of author(s) (hidden)
Year year the article was published (hidden)
Paper url link to the paper (hidden)
Dataset Whether real dataset(s) were utilised
(hidden)
Simulation Whether simulation study was utilised
(hidden)
CR type type of CR: CR - competing
risks and Cens - dependent censoring.
Visible columns are displayed in the interactive
table interface. Hidden columns are not displayed by
default. Columns can be filtered, arranged in ascending/descending
order. Entries can be searched in the interactive table and it contains
141 articles on competing risks models using copulas.
Table of reviewed articles
Show/hide more columns
LS0tDQp0aXRsZTogIk92ZXJ2aWV3IFRhYmxlIG9mIGFydGljbGU6ICoqQ29wdWxhLUJhc2VkIE1vZGVscyBmb3IgQ29tcGV0aW5nIFJpc2tzOiBBIGNvbXByZWhlbnNpdmUgcmV2aWV3KiogdGhhdCBpcyBwdWJsaXNoZWQgaW4gdGhlIEpvdXJuYWwgb2YgU3RhdGlzdGljYWwgUGFwZXJzIg0Kb3V0cHV0Og0KICBodG1sX2RvY3VtZW50Og0KICAgIHRvYzogbm8NCiAgICBjc3M6IHN0eWxlLmNzcw0KICAgIGNvZGVfZG93bmxvYWQ6IHRydWUNCiAgICB0aGVtZTogc2ltcGxleA0KICAgIGhpZ2hsaWdodDogcHlnbWVudHMNCiAgICB0b2NfZmxvYXQ6DQogICAgICBjb2xsYXBzZWQ6IG5vDQogICAgc2VsZl9jb250YWluZWQ6IGZhbHNlDQpsaW5rLWNpdGF0aW9uczogeWVzDQpjbGFzc29wdGlvbjogZmxlcW4NCiNydW50aW1lOiBzaGlueQ0KZm9udHNpemU6IDExcHQNCmhlYWRlci1pbmNsdWRlczoNCi0gXHVzZXBhY2thZ2V7YW1zbWF0aCx1cmwsaHlwZXJyZWYsYW1zdGhtLGFtc3N5bWJ9DQotIFx1c2VwYWNrYWdle2Zsb2F0fSBcZmxvYXRwbGFjZW1lbnR7ZmlndXJlfXtIfQ0KLSBcc2V0bGVuZ3Roe1xoZWFkc2VwfXswLjJpbn0NCi0gXHNsb3BweQ0KbGluZXN0cmV0Y2g6IDAuOQ0KLS0tDQoNCjxzdHlsZT4NCmJvZHkgew0KdGV4dC1hbGlnbjoganVzdGlmeX0NCjwvc3R5bGU+DQoNCmBgYHtyIHNldHVwLCBpbmNsdWRlPUZBTFNFfQ0KbGlicmFyeShzdHlsZXIpDQpsaWJyYXJ5KHBhbmRlcikNCmxpYnJhcnkodGlkeXZlcnNlKQ0KDQoNCmtuaXRyOjpvcHRzX2NodW5rJHNldChlY2hvPUZBTFNFLGV2YWw9VFJVRSx3YXJuaW5nPUZBTFNFLG1lc3NhZ2U9RkFMU0UscHJvbXB0PVRSVUUsc3RyaXAud2hpdGU9VFJVRSwNCmNhY2hlPUZBTFNFLHNpemU9J3RpbnknLGNvbW1lbnQ9JycsZmlnLndpZHRoPTgsZmlnLmhlaWdodD00LjUsb3B0aW9ucyh3aWR0aCA9IDcwKSkNCmBgYA0KDQojIyBJbnRyb2R1Y3Rpb24NCg0KVGhpcyB0YWJsZSBoYXMgYmVlbiBjcmVhdGVkIGFzIHBhcnQgb2YgdGhlIG1hbnVzY3JpcHQ6ICoqQ29wdWxhLUJhc2VkIE1vZGVscyBmb3IgQ29tcGV0aW5nIFJpc2tzOiBBIGNvbXByZWhlbnNpdmUgcmV2aWV3KiogcHVibGlzaGVkIGluIHRoZSBKb3VybmFsIG9mIFN0YXRpc3RpY2FsIFBhcGVycyB3aXRoIHRoZSBhaW0gb2YgY29uc29saWRhdGluZyBhcnRpY2xlcyB0aGF0IGhhcyBjb3ZlcmVkIENSIG1vZGVscyB1c2luZyBjb3B1bGFzLiBUaGUgdGFibGUgcHJvdmlkZXMgc3VjaCBkZXRhaWxzLCBhbmQgd2FzIGNvbnN0cnVjdGVkIHVzaW5nIFx0ZXh0dHR7Un0gcGFja2FnZTogKnJlYWN0YWJsZSogKExpbiwgMjAyMykuDQoNCiMjIEV4cGxhbmF0aW9uIG9mIHRoZSB0YWJsZSBjb2x1bW5zDQoNClRoZSBpbnRlcmFjdGl2ZSB0YWJsZSBjb2x1bW5zIGhhdmUgdGhlIGZvbGxvd2luZyBpbnRlcnByZXRhdGlvbjoNCg0KKyAqKlRpdGxlKiogdGl0bGUgb2YgdGhlIGFydGljbGUNCisgKipUcnVuY2F0aW9uKiogdHlwZSBvZiB0cnVuY2F0aW9uDQorICoqQ2Vuc29yaW5nKiogdHlwZSBvZiBjZW5zb3JpbmcNCisgKipFc3RpbWF0aW9uKiogdHlwZSBvZiBlc3RpbWF0aW9uLCBgTUxgIC0gTWF4aW11bSBsaWtlbGlob29kLCBgUExgIC0gUHNldWRvIGxpa2VsaWhvb2QsIGBDR2AgLSBDb3B1bGEgR3JhcGhpYywgYEJheWVzaWFuYCBvciBgTWFjTGAgLSBNYWNoaW5lIGxlYXJuaW5nDQorICoqRG9tYWluKiogRmllbGQgb2Ygc3R1ZHkgYFN1cnZpdmFsYCwgYEFjdHVhcmlhbGAsIGBFY29ub21ldHJpY3NgLCBgU29jaWFsIHNjaWVuY2VzYCwgYEh5ZHJvbG9neWAsIGBSZWxpYWJpbGl0eWAsIG9yIGBPdGhlcnNgDQorICoqQ29wdWxhX3R5cGUqKiBjb3B1bGEgdHlwZSwgaW5jbHVkaW5nIGBBcmNoYCAtIGlmIEFyY2hpbWlkZWFuIGlzIHVzZWQgaW4gZ2VuZXJhbCwgIGBHYXVzYCAtIEdhdXNzaWFuLCBgRkdNYCAtIEZhcmxpZeKAk0d1bWJlbOKAk01vcmdlbnN0ZXJuLCAgYEFNSGAgLSBBbGktTWlraGFpbC1IYXEsIGBTeW1tYCAtIFN5bW1ldHJpYyBjb3B1bGFzDQorICoqQ292YXJpYXRlcyoqIHdoZXRoZXIgY292YXJpYXRlcyBhcmUgdXNlZCBvciBub3QNCisgKipDb2RlKiogYXZhaWxhYmlsaXR5IG9mIGNvZGUgdXNlZCB0byBnZW5lcmF0ZSByZXN1bHRzDQorICoqQXV0aG9yKHMpKiogbmFtZSBvZiBhdXRob3IocykgKGhpZGRlbikNCisgKipZZWFyKiogeWVhciB0aGUgYXJ0aWNsZSB3YXMgcHVibGlzaGVkIChoaWRkZW4pDQorICoqUGFwZXIgdXJsKiogbGluayB0byB0aGUgcGFwZXIgKGhpZGRlbikNCisgKipEYXRhc2V0KiogV2hldGhlciByZWFsIGRhdGFzZXQocykgd2VyZSB1dGlsaXNlZCAoaGlkZGVuKQ0KKyAqKlNpbXVsYXRpb24qKiBXaGV0aGVyIHNpbXVsYXRpb24gc3R1ZHkgd2FzIHV0aWxpc2VkIChoaWRkZW4pDQorICoqQ1IgdHlwZSoqIHR5cGUgb2YgQ1I6IGBDUmAgLSBjb21wZXRpbmcgcmlza3MgIGFuZCBgQ2Vuc2AgLSBkZXBlbmRlbnQgY2Vuc29yaW5nLg0KDQpcbm9pbmRlbnQgXHRleHRiZntOb3RlOn0gKipWaXNpYmxlKiogY29sdW1ucyBhcmUgZGlzcGxheWVkIGluIHRoZSBpbnRlcmFjdGl2ZSB0YWJsZSBpbnRlcmZhY2UuICoqSGlkZGVuKiogY29sdW1ucyBhcmUgbm90IGRpc3BsYXllZCBieSBkZWZhdWx0LiBDb2x1bW5zIGNhbiBiZSBmaWx0ZXJlZCwgYXJyYW5nZWQgaW4gYXNjZW5kaW5nL2Rlc2NlbmRpbmcgb3JkZXIuIEVudHJpZXMgY2FuIGJlIHNlYXJjaGVkIGluIHRoZSBpbnRlcmFjdGl2ZSB0YWJsZSBhbmQgaXQgY29udGFpbnMgMTQxIGFydGljbGVzIG9uIGNvbXBldGluZyByaXNrcyBtb2RlbHMgdXNpbmcgY29wdWxhcy4NCg0KIyMgVGFibGUgb2YgcmV2aWV3ZWQgYXJ0aWNsZXMNCg0KYGBge3J9DQpsaWJyYXJ5KHJlYWN0YWJsZSkNCmxpYnJhcnkoaHRtbHRvb2xzKQ0KDQpkYXRhIDwtIHJlYWQuY3N2MigiLi90YWJsZS5jc3YiLCBoZWFkZXIgPSBUUlVFLCBzZXAgPSAiOyIpDQoNCiMgQ3JlYXRlIGEgcmVhY3RhYmxlIHRhYmxlDQpodG1sdG9vbHM6OmJyb3dzYWJsZSgNCiAgdGFnTGlzdCgNCiAgICB0YWdzJGJ1dHRvbigNCiAgICAgICJTaG93L2hpZGUgbW9yZSBjb2x1bW5zIiwNCiAgICAgIG9uY2xpY2sgPSAiUmVhY3RhYmxlLnNldEhpZGRlbkNvbHVtbnMoJ2NyLXRhYmxlJywgcHJldkNvbHVtbnMgPT4gew0KICAgICAgICByZXR1cm4gcHJldkNvbHVtbnMubGVuZ3RoID09PSAwID8gWyd0eXBlX2NvdmFyaWF0ZXMnLCAncGFwZXInLCAnZGF0YXNldHMnLCAnYXV0aG9ycycsICdDUl90eXBlJ10gOiBbXQ0KICAgIH0pIg0KKSwNCnJlYWN0YWJsZSgNCiAgZGF0YSwNCiAgZmlsdGVyYWJsZSA9IFRSVUUsDQogIHJlc2l6YWJsZSA9IFRSVUUsDQogIGJvcmRlcmVkID0gVFJVRSwNCiAgaGlnaGxpZ2h0ID0gVFJVRSwNCiAgc3RyaXBlZCA9IFRSVUUsDQogIGNvbXBhY3QgPSBUUlVFLA0KICB3cmFwID0gRkFMU0UsDQogIHNlbGVjdGlvbiA9ICJtdWx0aXBsZSIsIA0KICBvbkNsaWNrID0gImV4cGFuZCIsDQogIHNlYXJjaGFibGUgPSBUUlVFLA0KICBzaG93U29ydGFibGUgPSBUUlVFLA0KICBwYWdlU2l6ZU9wdGlvbnMgPSBjKDUsMTAsMjAsMzApLA0KICMgcm93bmFtZXMgPSBUUlVFLA0KICBwYWdpbmF0aW9uID0gVFJVRSwNCiAgZGVmYXVsdFBhZ2VTaXplID0gMTAsDQogIHNob3dQYWdlU2l6ZU9wdGlvbnMgPSBUUlVFLA0KICBwYWdpbmF0aW9uVHlwZSA9ICJqdW1wIiwNCiAgY29sdW1ucyA9IGxpc3QoDQogICAgdGl0bGUgPSBjb2xEZWYobmFtZSA9ICJUaXRsZSIsY2VsbCA9IGZ1bmN0aW9uKHZhbHVlLCBpbmRleCkgew0KICAgICMgUmVuZGVyIGFzIGEgbGluaw0KICAgIHVybCA8LSBkYXRhW2luZGV4LCJwYXBlciJdDQogICAgaHRtbHRvb2xzOjp0YWdzJGEoaHJlZiA9IHVybCwgdGFyZ2V0ID0gIl9ibGFuayIsZGF0YVtpbmRleCwidGl0bGUiXSkNCiAgfSwgbWluV2lkdGggPSAzMDAsIHN0aWNreSA9ICJsZWZ0IiksDQogICAgdHJ1bmNhdGlvbiA9IGNvbERlZihuYW1lID0gIlRydW5jYXRpb24iLCBzaG93ID0gRkFMU0UpLA0KICAgIGNlbnNvcmluZyA9IGNvbERlZihuYW1lID0gIkNlbnNvcmluZyIpLA0KICAgIG1vZGVsID0gY29sRGVmKG5hbWUgPSAiRXN0aW1hdGlvbiIsIG1pbldpZHRoID0gNzApLA0KICAgIGZpZWxkID0gY29sRGVmKG5hbWUgPSAiRG9tYWluIiwgbWluV2lkdGggPSA2NSksDQogICAgdHlwZSA9IGNvbERlZihuYW1lID0gIkNvcHVsYV90eXBlIiksDQogICAgdHlwZV9jb3ZhcmlhdGVzID0gY29sRGVmKG5hbWUgPSAiQ292YXJpYXRlcyIsIHNob3cgPSBGQUxTRSwgY2VsbCA9IGZ1bmN0aW9uKHZhbHVlKSB7DQogICAgaWYgKHZhbHVlID09ICJubyIpICJcdTI3NGMgbm8iIGVsc2UgIlx1MjcxNFx1ZmUwZiB5ZXMifSksDQogICAgY29kZSA9IGNvbERlZihuYW1lID0gIkNvZGUiLGNlbGwgPSBmdW5jdGlvbih2YWx1ZSwgaW5kZXgpIHsNCiAgICAgICAgaWYgKHZhbHVlID09ICJubyIpIHsNCiAgICAgICAgICAiXHUyNzRjIG5vdCBhY2Nlc3NpYmxlIg0KICAgICAgICB9IGVsc2Ugew0KICAgICAgICAgIHVybCA8LSBkYXRhW2luZGV4LCAiY29kZSJdDQogICAgICAgICAgaHRtbHRvb2xzOjp0YWdzJGEoaHJlZiA9IHVybCwgdGFyZ2V0ID0gIl9ibGFuayIsIGRhdGFbaW5kZXgsICJjb2RlIl0pDQogICAgICAgIH0NCiAgICAgIH0pLA0KICAgIGF1dGhvcnMgPSBjb2xEZWYobmFtZSA9ICJBdXRob3IocykiLHNob3cgPSBGQUxTRSksDQogICAgeWVhciA9IGNvbERlZihuYW1lID0gIlllYXIiLCBtaW5XaWR0aCA9IDU1KSwNCiAgICBwYXBlciA9IGNvbERlZihuYW1lID0gIlBhcGVyIHVybCIsY2VsbCA9IGZ1bmN0aW9uKHZhbHVlLCBpbmRleCkgew0KICAgIHVybCA8LSBkYXRhW2luZGV4LCJwYXBlciJdDQogICAgaHRtbHRvb2xzOjp0YWdzJGEoaHJlZiA9IHVybCwgdGFyZ2V0ID0gIl9ibGFuayIsZGF0YVtpbmRleCwicGFwZXIiXSl9LHNob3cgPSBGQUxTRSksDQogICAgZGF0YXNldHMgPSBjb2xEZWYobmFtZSA9ICJEYXRhc2V0cyIsIG1pbldpZHRoID0gODAsIGNlbGwgPSBmdW5jdGlvbih2YWx1ZSkgew0KICAgIGlmICh2YWx1ZSA9PSAibm8iKSAiXHUyNzRjIG5vIiBlbHNlICJcdTI3MTRcdWZlMGYgeWVzIn0pLA0KICAgIENSX3R5cGUgPSBjb2xEZWYobmFtZSA9ICJDUiB0eXBlIixzaG93ID0gRkFMU0UpLA0KICAgIHNpbXVsYXRpb24gPSBjb2xEZWYobmFtZSA9ICJTaW11bGF0aW9uIixjZWxsID0gZnVuY3Rpb24odmFsdWUpIHsNCiAgICBpZiAodmFsdWUgPT0gIm5vIikgIlx1Mjc0YyBubyIgZWxzZSAiXHUyNzE0XHVmZTBmIHllcyJ9LHNob3cgPSBGQUxTRSkNCiAgKSwNCiAgICAgIGVsZW1lbnRJZCA9ICJjci10YWJsZSINCikNCikpDQpgYGANCg0KDQoNCg0KDQoNCg0KDQoNCg==