Skip to main content
Erschienen in:
Buchtitelbild

2018 | OriginalPaper | Buchkapitel

1. Setting the Scene

verfasst von : Takeshi Emura, Yi-Hau Chen

Erschienen in: Analysis of Survival Data with Dependent Censoring

Verlag: Springer Singapore

Aktivieren Sie unsere intelligente Suche, um passende Fachinhalte oder Patente zu finden.

search-config
loading …

Abstract

This first chapter presents the purpose of the book. We first illustrate the issues of dependent censoring arising from medical research. We then explain several benefits of investigating dependent censoring. We finally illustrate how copula-based methods have been grown through the literature of survival analysis.

Sie haben noch keine Lizenz? Dann Informieren Sie sich jetzt über unsere Produkte:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

Springer Professional "Wirtschaft"

Online-Abonnement

Mit Springer Professional "Wirtschaft" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 340 Zeitschriften

aus folgenden Fachgebieten:

  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Versicherung + Risiko




Jetzt Wissensvorsprung sichern!

Literatur
Zurück zum Zitat Braekers R, Veraverbeke N (2005) A copula-graphic estimator for the conditional survival function under dependent censoring. Can J Stat 33:429–447MathSciNetCrossRefMATH Braekers R, Veraverbeke N (2005) A copula-graphic estimator for the conditional survival function under dependent censoring. Can J Stat 33:429–447MathSciNetCrossRefMATH
Zurück zum Zitat Burzykowski T, Molenberghs G, Buyse M (eds) (2005) The evaluation of surrogate endpoints. Springer, New YorkMATH Burzykowski T, Molenberghs G, Buyse M (eds) (2005) The evaluation of surrogate endpoints. Springer, New YorkMATH
Zurück zum Zitat Burzykowski T, Molenberghs G, Buyse M, Geys H, Renard D (2001) Validation of surrogate end points in multiple randomized clinical trials with failure time end points. Appl Stat 50(4):405–422MathSciNetMATH Burzykowski T, Molenberghs G, Buyse M, Geys H, Renard D (2001) Validation of surrogate end points in multiple randomized clinical trials with failure time end points. Appl Stat 50(4):405–422MathSciNetMATH
Zurück zum Zitat Chen YH (2010) Semiparametric marginal regression analysis for dependent competing risks under an assumed copula. J R Stat Soc Ser B Stat Methodol 72:235–251MathSciNetCrossRef Chen YH (2010) Semiparametric marginal regression analysis for dependent competing risks under an assumed copula. J R Stat Soc Ser B Stat Methodol 72:235–251MathSciNetCrossRef
Zurück zum Zitat Chen YH (2012) Maximum likelihood analysis of semicompeting risks data with semiparametric regression models. Lifetime Data Anal 18:36–57 Chen YH (2012) Maximum likelihood analysis of semicompeting risks data with semiparametric regression models. Lifetime Data Anal 18:36–57
Zurück zum Zitat Clayton DG (1978) A model for association in bivariate life tables and its application in epidemiological studies of familial tendency in chronic disease incidence. Biometrika 65(1):141–151MathSciNetCrossRefMATH Clayton DG (1978) A model for association in bivariate life tables and its application in epidemiological studies of familial tendency in chronic disease incidence. Biometrika 65(1):141–151MathSciNetCrossRefMATH
Zurück zum Zitat Collett D (2015) Modelling survival data in medical research, 3rd edn. CRC Press, London Collett D (2015) Modelling survival data in medical research, 3rd edn. CRC Press, London
Zurück zum Zitat Cox DR (1972) Regression models and life-tables (with discussion). J R Stat Soc Ser B Stat Methodol 34:187–220MATH Cox DR (1972) Regression models and life-tables (with discussion). J R Stat Soc Ser B Stat Methodol 34:187–220MATH
Zurück zum Zitat de Uña-Álvarez J, Veraverbeke N (2017) Copula-graphic estimation with left-truncated and right-censored data. Statistics 51(2):387–403MathSciNetCrossRefMATH de Uña-Álvarez J, Veraverbeke N (2017) Copula-graphic estimation with left-truncated and right-censored data. Statistics 51(2):387–403MathSciNetCrossRefMATH
Zurück zum Zitat Emura T, Chen YH (2016) Gene selection for survival data under dependent censoring, a copula-based approach. Stat Methods Med Res 25(6):2840–2857MathSciNetCrossRef Emura T, Chen YH (2016) Gene selection for survival data under dependent censoring, a copula-based approach. Stat Methods Med Res 25(6):2840–2857MathSciNetCrossRef
Zurück zum Zitat Emura T, Lin CW, Wang W (2010) A goodness-of-fit test for Archimedean copula models in the presence of right censoring. Comput Stat Data Anal 54:3033–3043MathSciNetCrossRefMATH Emura T, Lin CW, Wang W (2010) A goodness-of-fit test for Archimedean copula models in the presence of right censoring. Comput Stat Data Anal 54:3033–3043MathSciNetCrossRefMATH
Zurück zum Zitat Emura T, Nakatochi M, Murotani K, Rondeau V (2017a) A joint frailty-copula model between tumour progression and death for meta-analysis. Stat Methods Med Res 26(6):2649–2666MathSciNetCrossRef Emura T, Nakatochi M, Murotani K, Rondeau V (2017a) A joint frailty-copula model between tumour progression and death for meta-analysis. Stat Methods Med Res 26(6):2649–2666MathSciNetCrossRef
Zurück zum Zitat Emura T, Michimae H (2017) A copula-based inference to piecewise exponential models under dependent censoring, with application to time to metamorphosis of salamander larvae. Environ Ecol Stat 24(1):151–173MathSciNetCrossRef Emura T, Michimae H (2017) A copula-based inference to piecewise exponential models under dependent censoring, with application to time to metamorphosis of salamander larvae. Environ Ecol Stat 24(1):151–173MathSciNetCrossRef
Zurück zum Zitat Genest C, MacKay J (1986) The joy of copulas: bivariate distributions with uniform marginals. Am Stat 40(4):280–283MathSciNet Genest C, MacKay J (1986) The joy of copulas: bivariate distributions with uniform marginals. Am Stat 40(4):280–283MathSciNet
Zurück zum Zitat Joe H (2014) Dependence modeling with copulas. CRC Press, LondonMATH Joe H (2014) Dependence modeling with copulas. CRC Press, LondonMATH
Zurück zum Zitat Kalbfleisch JD, Prentice RL (2002) The statistical analysis of failure time data, 2nd edn. Wiley, New YorkCrossRefMATH Kalbfleisch JD, Prentice RL (2002) The statistical analysis of failure time data, 2nd edn. Wiley, New YorkCrossRefMATH
Zurück zum Zitat Nelsen RB (2006) An introduction to copulas, 2nd edn. Springer, New YorkMATH Nelsen RB (2006) An introduction to copulas, 2nd edn. Springer, New YorkMATH
Zurück zum Zitat Oakes D (1982) A model for association in bivariate survival data. J R Stat Soc Ser B Stat Methodol 414–422 Oakes D (1982) A model for association in bivariate survival data. J R Stat Soc Ser B Stat Methodol 414–422
Zurück zum Zitat Oba K, Paoletti X, Alberts S et al (2013) Disease-free survival as a surrogate for overall survival in adjuvant trials of gastric cancer: a meta-analysis. J Natl Cancer Inst 105(21):1600–1607CrossRef Oba K, Paoletti X, Alberts S et al (2013) Disease-free survival as a surrogate for overall survival in adjuvant trials of gastric cancer: a meta-analysis. J Natl Cancer Inst 105(21):1600–1607CrossRef
Zurück zum Zitat Peng M, Xiang L, Wang S (2018) Semiparametric regression analysis of clustered survival data with semi-competing risks. Comput Stat Data Anal 124:53–70 Peng M, Xiang L, Wang S (2018) Semiparametric regression analysis of clustered survival data with semi-competing risks. Comput Stat Data Anal 124:53–70
Zurück zum Zitat Rivest LP, Wells MT (2001) A martingale approach to the copula-graphic estimator for the survival function under dependent censoring. J Multivar Anal 79:138–155MathSciNetCrossRefMATH Rivest LP, Wells MT (2001) A martingale approach to the copula-graphic estimator for the survival function under dependent censoring. J Multivar Anal 79:138–155MathSciNetCrossRefMATH
Zurück zum Zitat Shih JH, Louis TA (1995). Inferences on the association parameter in copula models for bivariate survival data. Biometrics: 1384–99 Shih JH, Louis TA (1995). Inferences on the association parameter in copula models for bivariate survival data. Biometrics: 1384–99
Zurück zum Zitat Siannis F, Copas J, Lu G (2005) Sensitivity analysis for informative censoring in parametric survival models. Biostatistics 6(1):77–91CrossRefMATH Siannis F, Copas J, Lu G (2005) Sensitivity analysis for informative censoring in parametric survival models. Biostatistics 6(1):77–91CrossRefMATH
Zurück zum Zitat Sklar A (1959) Fonctions de répartition à n dimensions et leurs marges. Publications de l’Institut de Statistique de L’Université de Paris. 8:229–231MATH Sklar A (1959) Fonctions de répartition à n dimensions et leurs marges. Publications de l’Institut de Statistique de L’Université de Paris. 8:229–231MATH
Zurück zum Zitat Staplin ND (2012) Informative censoring in transplantation statistics. Doctoral thesis, University of Southampton, School of Mathematics Staplin ND (2012) Informative censoring in transplantation statistics. Doctoral thesis, University of Southampton, School of Mathematics
Zurück zum Zitat Staplin ND, Kimber AC, Collett D, Roderick PJ (2015) Dependent censoring in piecewise exponential survival models. Statist Methods Med Res 24(3):325–341MathSciNetCrossRef Staplin ND, Kimber AC, Collett D, Roderick PJ (2015) Dependent censoring in piecewise exponential survival models. Statist Methods Med Res 24(3):325–341MathSciNetCrossRef
Zurück zum Zitat Sugimoto T, Hamasaki T, Evans SR (2017) Sizing clinical trials when comparing bivariate time-to-event outcomes. Stat Med 36(9):1363–1382MathSciNetCrossRef Sugimoto T, Hamasaki T, Evans SR (2017) Sizing clinical trials when comparing bivariate time-to-event outcomes. Stat Med 36(9):1363–1382MathSciNetCrossRef
Zurück zum Zitat Wang W (2003) Estimating the association parameter for copula models under dependent censoring. J R Stat Soc Series B Stat Methodol 65(1):257–273MathSciNetCrossRefMATH Wang W (2003) Estimating the association parameter for copula models under dependent censoring. J R Stat Soc Series B Stat Methodol 65(1):257–273MathSciNetCrossRefMATH
Zurück zum Zitat Weiß G (2011) Copula parameter estimation by maximum-likelihood and minimum-distance estimators: a simulation study. Comput Stat 26:31–54MathSciNetCrossRefMATH Weiß G (2011) Copula parameter estimation by maximum-likelihood and minimum-distance estimators: a simulation study. Comput Stat 26:31–54MathSciNetCrossRefMATH
Zurück zum Zitat Zheng M, Klein JP (1995) Estimates of marginal survival for dependent competing risks based on an assumed copula. Biometrika 82(1):127–138MathSciNetCrossRefMATH Zheng M, Klein JP (1995) Estimates of marginal survival for dependent competing risks based on an assumed copula. Biometrika 82(1):127–138MathSciNetCrossRefMATH
Metadaten
Titel
Setting the Scene
verfasst von
Takeshi Emura
Yi-Hau Chen
Copyright-Jahr
2018
Verlag
Springer Singapore
DOI
https://doi.org/10.1007/978-981-10-7164-5_1