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Volumn , Issue , 2008, Pages

Multivariate survival analysis (I): Shared frailty approaches to reliability and dependence modeling

Author keywords

Common events failure; Common risks failure; Dependent failure; Event related dependence; Multivariate survival analysis; Network survivability; Prognostic and health management (PHM); Shared frailty model; Software reliability

Indexed keywords

ARTIFICIAL INTELLIGENCE; BIOINFORMATICS; COMPUTER SCIENCE; COMPUTER SOFTWARE SELECTION AND EVALUATION; COMPUTERS; HEALTH RISKS; LEARNING SYSTEMS; MARKOV PROCESSES; QUALITY ASSURANCE; RELIABILITY ANALYSIS; RISK ASSESSMENT; SOFTWARE RELIABILITY; TECHNOLOGY;

EID: 49349116977     PISSN: 1095323X     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/AERO.2008.4526618     Document Type: Conference Paper
Times cited : (31)

References (62)
  • 1
    • 0039276622 scopus 로고
    • Mixing distribution on a Markov chain
    • Aalen, O. O. 1987. Mixing distribution on a Markov chain. Scand. J. Statist. 14:281-289.
    • (1987) Scand. J. Statist , vol.14 , pp. 281-289
    • Aalen, O.O.1
  • 4
    • 33746925240 scopus 로고    scopus 로고
    • Generalized gamma frailty model
    • Balakrishnan, N. and Y. Peng. 2006. Generalized gamma frailty model. Statist. Med. 2006; 25:2797-2816
    • (2006) Statist. Med , vol.2006 , Issue.25 , pp. 2797-2816
    • Balakrishnan, N.1    Peng, Y.2
  • 5
    • 33845770181 scopus 로고    scopus 로고
    • Dynamic survival models with spatial frailty
    • Bastos, L. S. and D. Gamerman. 2006. Dynamic survival models with spatial frailty. Lifetime Data Analysis. 12:441-460.
    • (2006) Lifetime Data Analysis , vol.12 , pp. 441-460
    • Bastos, L.S.1    Gamerman, D.2
  • 6
    • 33750066011 scopus 로고    scopus 로고
    • Repeated events survival models: The conditional frailty model
    • Box-Steffensmeier, J. M. and S. De Boef. 2006. Repeated events survival models: The conditional frailty model. Statist. Med. 2006, 25:3518-3533
    • (2006) Statist. Med , vol.2006 , Issue.25 , pp. 3518-3533
    • Box-Steffensmeier, J.M.1    De Boef, S.2
  • 7
    • 0043024584 scopus 로고    scopus 로고
    • Hierarchical multivariate CAR models for spatio-temporally correlated survival data
    • Bernardo J. M. et al, eds, Oxford Univ. Press, pp
    • Carlin, B. P, Banerjee S (2002) Hierarchical multivariate CAR models for spatio-temporally correlated survival data. in: Bernardo J. M. et al, eds. Bayesian Statistics. Oxford Univ. Press, pp 1-15
    • (2002) Bayesian Statistics , pp. 1-15
    • Carlin, B.P.1    Banerjee, S.2
  • 8
    • 15844427066 scopus 로고    scopus 로고
    • Semi-parametric regression analysis of mean residual life with censored survival data
    • Chen, Y. Q., S. Cheng. 2005. Semi-parametric regression analysis of mean residual life with censored survival data. Biometrika (2005), 92, 1, pp. 19-29
    • (2005) Biometrika , vol.92 , Issue.1 , pp. 19-29
    • Chen, Y.Q.1    Cheng, S.2
  • 9
    • 0025763810 scopus 로고
    • Competing risks in mortality analysis
    • Chiang, C. L. 1991. Competing risks in mortality analysis. Annual Review of Public Health, 12 281-307.
    • (1991) Annual Review of Public Health , vol.12 , pp. 281-307
    • Chiang, C.L.1
  • 10
    • 0017883262 scopus 로고
    • A model for association in bivariate life tables and its application in epidemiological studies of familial tendency in chronic disease incidence
    • 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 65:141-151
    • (1978) Biometrika , vol.65 , pp. 141-151
    • Clayton, D.G.1
  • 11
    • 0033252569 scopus 로고    scopus 로고
    • Multi-state models in Epidemiology
    • Commenges, D. 1999. Multi-state models in Epidemiology. Lifetime Data Analysis. 5:315-327.
    • (1999) Lifetime Data Analysis , vol.5 , pp. 315-327
    • Commenges, D.1
  • 12
    • 0000336139 scopus 로고
    • Regression models and life tables
    • Cox, D. R. 1972. Regression models and life tables. J. R. Stat. Soc. Ser. B. 34:184-220.
    • (1972) J. R. Stat. Soc. Ser. B , vol.34 , pp. 184-220
    • Cox, D.R.1
  • 14
    • 34548775222 scopus 로고    scopus 로고
    • Parametric survival analysis and taxonomy of hazard functions for the generalized gamma distribution
    • in Press
    • Cox, C., H. Chu, et al. 2007. Parametric survival analysis and taxonomy of hazard functions for the generalized gamma distribution. Statist. Med. (in Press)
    • (2007) Statist. Med
    • Cox, C.1    Chu, H.2
  • 17
    • 34249330622 scopus 로고    scopus 로고
    • A Review of Accelerated Test Models
    • Escobar, L. A. and W. Q. Meeker. 2006. A Review of Accelerated Test Models. Statistical Science. 2006, Vol. 21, No. 4, 552-577.
    • (2006) Statistical Science , vol.21 , Issue.4 , pp. 552-577
    • Escobar, L.A.1    Meeker, W.Q.2
  • 18
    • 14944365034 scopus 로고    scopus 로고
    • Temporal process regression
    • Fine, J. P., J. Yan., M. R. Kosorok 2004. Temporal process regression. Biometrika 91(3):683-703
    • (2004) Biometrika , vol.91 , Issue.3 , pp. 683-703
    • Fine, J.P.1    Yan, J.2    Kosorok, M.R.3
  • 20
    • 0037106041 scopus 로고    scopus 로고
    • Multivariate survival analysis with doubly-censored data: Application to the assessment of Accutane treatment
    • Geoffrey, J., and D. M. Rocke. 2002. Multivariate survival analysis with doubly-censored data: application to the assessment of Accutane treatment. Statist. Med. 2002; 21:2547-2562
    • (2002) Statist. Med. 2002 , vol.21 , pp. 2547-2562
    • Geoffrey, J.1    Rocke, D.M.2
  • 21
    • 33745443681 scopus 로고    scopus 로고
    • Prospective survival analysis with a general semiparametric shared frailty model: A pseudo full likelihood approach
    • Gorfine, M., D. M. Zucker. 2006. Prospective survival analysis with a general semiparametric shared frailty model: A pseudo full likelihood approach. Biometrika (2006), 93, 3, pp. 735-741.
    • (2006) Biometrika , vol.93 , Issue.3 , pp. 735-741
    • Gorfine, M.1    Zucker, D.M.2
  • 22
    • 0030069896 scopus 로고    scopus 로고
    • Multivariate prognostic models: Issues in developing model, evaluating assumptions and adequacy, and measuring and reducing errors
    • Harrell, F. E., Lee, K. L. et. al. 1996. Multivariate prognostic models: issues in developing model, evaluating assumptions and adequacy, and measuring and reducing errors. Statist. Med. 15, 361-387 (1996)
    • (1996) Statist. Med , vol.15 , pp. 361-387
    • Harrell, F.E.1    Lee, K.L.2    et., al.3
  • 23
    • 0036971375 scopus 로고    scopus 로고
    • Modelling spatial variation in Leukaemia survival data
    • Henderson R, Shimakura S, Grost D (2002) Modelling spatial variation in Leukaemia survival data. J Am Stat Assoc 97:965-972
    • (2002) J Am Stat Assoc , vol.97 , pp. 965-972
    • Henderson, R.1    Shimakura, S.2    Grost, D.3
  • 24
    • 0033193308 scopus 로고    scopus 로고
    • Multi-state Models: A Review
    • Hougaard, P. 1999a. Multi-state Models: A Review. Lifetime Data Analysis. 5:239-264.
    • (1999) Lifetime Data Analysis , vol.5 , pp. 239-264
    • Hougaard, P.1
  • 25
    • 0032958329 scopus 로고    scopus 로고
    • Fundamentals of Survival Data
    • Hougaard, P. 1999b. Fundamentals of Survival Data. Biometrics. 55:13-22.
    • (1999) Biometrics , vol.55 , pp. 13-22
    • Hougaard, P.1
  • 31
    • 14944352003 scopus 로고    scopus 로고
    • Estimating load-sharing properties in a dynamic reliability system
    • Kvam, P. and Peña, E. (2005). Estimating load-sharing properties in a dynamic reliability system. J. Amer. Statist. Assoc. 262-272.
    • (2005) J. Amer. Statist. Assoc , pp. 262-272
    • Kvam, P.1    Peña, E.2
  • 32
    • 26844492891 scopus 로고    scopus 로고
    • Merits of Modeling Multivariate Survival Data Using Random Effects Proportional Odds Model
    • Lam, K. F., and Y. W. Lee. 2006. Merits of Modeling Multivariate Survival Data Using Random Effects Proportional Odds Model. Biometrical Journal 46 (2004) 1, 331-342
    • (2004) Biometrical Journal , vol.46 , Issue.1 , pp. 331-342
    • Lam, K.F.1    Lee, Y.W.2
  • 34
    • 34249306163 scopus 로고    scopus 로고
    • Threshold Regression for Survival Analysis: Modeling Event Times by a Stochastic Process Reaching a Boundary
    • Lee, M. T. and G. A. Whitmore. 2006. Threshold Regression for Survival Analysis: Modeling Event Times by a Stochastic Process Reaching a Boundary. Statistical Science, 2006, Vol. 21, No. 4, 501-513
    • (2006) Statistical Science , vol.21 , Issue.4 , pp. 501-513
    • Lee, M.T.1    Whitmore, G.A.2
  • 36
    • 34249698165 scopus 로고    scopus 로고
    • Parsimonious analysis of time-dependent effects in the Cox model
    • Lehr, S. and Michael Schemper, M. 2006. Parsimonious analysis of time-dependent effects in the Cox model. Statist. Med. 2007; 26:2686-2698.
    • (2006) Statist. Med , vol.2007 , Issue.26 , pp. 2686-2698
    • Lehr, S.1    Michael Schemper, M.2
  • 37
    • 0035989798 scopus 로고    scopus 로고
    • Modeling spatial survival data using semi-parametric frailty models
    • Li, Y., and L. Ryan. 2001. Modeling spatial survival data using semi-parametric frailty models. Biometrics. 58:287-292
    • (2001) Biometrics , vol.58 , pp. 287-292
    • Li, Y.1    Ryan, L.2
  • 38
    • 14844293467 scopus 로고    scopus 로고
    • Comparison of test statistics arising from marginal analyses of multivariate survival data
    • Li, Q. 2004. Comparison of test statistics arising from marginal analyses of multivariate survival data. Lifetime Data Analysis, 10:389-405.
    • (2004) Lifetime Data Analysis , vol.10 , pp. 389-405
    • Li, Q.1
  • 40
    • 4444337742 scopus 로고    scopus 로고
    • Share frailty models for recurrent events and a terminal event
    • Liu L., R. Wolfe, and X. Huang. 2004. Share frailty models for recurrent events and a terminal event. Biometrics. 60:747-756.
    • (2004) Biometrics , vol.60 , pp. 747-756
    • Liu, L.1    Wolfe, R.2    Huang, X.3
  • 41
    • 0027940746 scopus 로고
    • Cox regression analysis of multivariate failure time data, the marginal approach
    • Lin, D. Y. 1994. Cox regression analysis of multivariate failure time data, the marginal approach. Statist. Med. 13:2233-2247.
    • (1994) Statist. Med , vol.13 , pp. 2233-2247
    • Lin, D.Y.1
  • 42
    • 34548177994 scopus 로고    scopus 로고
    • A correlated frailty model with long-term survivors for estimating the heritability of breast cancer
    • in press
    • Locatelli, I., A. Rosina, P. Lichtenstein and A. I. Yashin. 2007. A correlated frailty model with long-term survivors for estimating the heritability of breast cancer. Statist. Med. (in press)
    • (2007) Statist. Med
    • Locatelli, I.1    Rosina, A.2    Lichtenstein, P.3    Yashin, A.I.4
  • 43
    • 34548170943 scopus 로고    scopus 로고
    • Variable selection for proportional odds model
    • Lu, W, and H. H. Zhang. 2007. Variable selection for proportional odds model. Statist. Med. 2007; 26:3771-3781
    • (2007) Statist. Med , vol.2007 , Issue.26 , pp. 3771-3781
    • Lu, W.1    Zhang, H.H.2
  • 45
    • 49349098182 scopus 로고    scopus 로고
    • Ma, Z. S. and A. W. Krings. 2008a. Survival Analysis Approach to Reliability, Survivability and Prognostics and Health Management. Proceedings of 2008 IEEE-AIAA AeroSpace Conference. BigSky, Montana, March 1-8, 2008. In Press, in the same
    • Ma, Z. S. and A. W. Krings. 2008a. Survival Analysis Approach to Reliability, Survivability and Prognostics and Health Management. Proceedings of 2008 IEEE-AIAA AeroSpace Conference. BigSky, Montana, March 1-8, 2008. (In Press, in the same volume)
  • 46
    • 49349108490 scopus 로고    scopus 로고
    • Ma, Z. S. and A. W. Krings. 2008b. The Competing Risks Analysis Approach to Reliability Survivability, and Prognostics and Health Management. The 2008 IEEE-AIAA AeroSpace Conference. BigSky, Montana, March 1-8, 2008. In Press, in the same
    • Ma, Z. S. and A. W. Krings. 2008b. The Competing Risks Analysis Approach to Reliability Survivability, and Prognostics and Health Management. The 2008 IEEE-AIAA AeroSpace Conference. BigSky, Montana, March 1-8, 2008. (In Press, in the same volume)
  • 47
    • 51549107108 scopus 로고    scopus 로고
    • Ma, Z. S. and A. W. Krings. 2008c. Multivariate Survival Analysis (II): Multi-State Models in Biomedicine and Engineering Reliability. 2008 IEEE International Conference on Biomedical Engineering and Informatics (BMEI 2008). May 27th-30th, 2008. (Accepted)
    • Ma, Z. S. and A. W. Krings. 2008c. Multivariate Survival Analysis (II): Multi-State Models in Biomedicine and Engineering Reliability. 2008 IEEE International Conference on Biomedical Engineering and Informatics (BMEI 2008). May 27th-30th, 2008. (Accepted)
  • 48
    • 14944384576 scopus 로고    scopus 로고
    • Estimation in the positive stable shared frailty Cox proportional hazards model
    • Martinussen, T. and C. B. Pipper. 2004. Estimation in the positive stable shared frailty Cox proportional hazards model. Lifetime Data Analysis. 11:99-105.
    • (2004) Lifetime Data Analysis , vol.11 , pp. 99-105
    • Martinussen, T.1    Pipper, C.B.2
  • 49
    • 27844564751 scopus 로고    scopus 로고
    • Bootstrap analysis of multivariate failure time data
    • Monaco, J, J. Cai, and J. Grizzle. 2005. Bootstrap analysis of multivariate failure time data. Statist. Med. 2005; 24:3387-3400.
    • (2005) Statist. Med , vol.2005 , Issue.24 , pp. 3387-3400
    • Monaco, J.1    Cai, J.2    Grizzle, J.3
  • 50
    • 0013528789 scopus 로고
    • A note on residual life
    • Oakes, D. & Dasu, T. 1990. A note on residual life. Biometrika 77, 409-10.
    • (1990) Biometrika , vol.77 , pp. 409-410
    • Oakes, D.1    Dasu, T.2
  • 51
    • 0038042402 scopus 로고    scopus 로고
    • Biometrika Century: Survival Analysis
    • Oakes, D. 2001. Biometrika Century: Survival Analysis. Biometrika (2001) 88(1):99-142.
    • (2001) Biometrika , vol.88 , Issue.1 , pp. 99-142
    • Oakes, D.1
  • 52
    • 33846338140 scopus 로고    scopus 로고
    • Models for recurrent events in reliability and survival analysis
    • R. Soyer, T. Mazzuchi et al, eds, Kluwer, Boston
    • Peña, E. and Hollander, M. (2004). Models for recurrent events in reliability and survival analysis. In Mathematical Reliability: An Expository Perspective (R. Soyer, T. Mazzuchi et al., eds.) 105-123. Kluwer, Boston.
    • (2004) Mathematical Reliability: An Expository Perspective , pp. 105-123
    • Peña, E.1    Hollander, M.2
  • 53
    • 34249337065 scopus 로고    scopus 로고
    • Dynamic Modeling and Statistical Analysis of Event Times
    • Peña E. A. 2006. Dynamic Modeling and Statistical Analysis of Event Times. Statistical Science. 21(4):487-500
    • (2006) Statistical Science , vol.21 , Issue.4 , pp. 487-500
    • Peña, E.A.1
  • 54
    • 36749004045 scopus 로고    scopus 로고
    • Multilevel and laten variable modeling with composite links and exploded likelihoods
    • Rabe-Hesketh, S. and A. Skrondal. 2007. Multilevel and laten variable modeling with composite links and exploded likelihoods. Physchometrika. 72(2): 123-140.
    • (2007) Physchometrika , vol.72 , Issue.2 , pp. 123-140
    • Rabe-Hesketh, S.1    Skrondal, A.2
  • 55
    • 49349115756 scopus 로고    scopus 로고
    • Multivariate Survival Models with a Mixture of Positive Stable Frailties
    • Ravishanker, N. and D. Dey. 2000. Multivariate Survival Models with a Mixture of Positive Stable Frailties. Methodology and Computing in Applied Probability, 2(3): 293-308, 2000.
    • (2000) Methodology and Computing in Applied Probability , vol.2 , Issue.3 , pp. 293-308
    • Ravishanker, N.1    Dey, D.2
  • 56
    • 0036884552 scopus 로고    scopus 로고
    • Maximum Likelihood Inference for Multivariate Frailly Models Using an Automated Monte Carlo EM Algorithm
    • Ripatti, S., K. Larsen., J. Palmgren. 2002. Maximum Likelihood Inference for Multivariate Frailly Models Using an Automated Monte Carlo EM Algorithm. Lifetime Data Analysis, 8:349-360.
    • (2002) Lifetime Data Analysis , vol.8 , pp. 349-360
    • Ripatti, S.1    Larsen, K.2    Palmgren, J.3
  • 57
    • 0033474286 scopus 로고    scopus 로고
    • Building multivariable prognostic and diagnostic models: Transformation of the predictors by using fractional polynomials
    • Sauerbrei, W. and Royston, P. (1999). Building multivariable prognostic and diagnostic models: Transformation of the predictors by using fractional polynomials. Journal of the Royal Statistical Society, Series A: Statistics in Society 162, 71-94.
    • (1999) Journal of the Royal Statistical Society, Series A: Statistics in Society , vol.162 , pp. 71-94
    • Sauerbrei, W.1    Royston, P.2
  • 58
    • 34547248336 scopus 로고    scopus 로고
    • A New Proposal for Multivariable Modeling of Time-Varying Effects in Survival Data Based on Fractional Polynomial Time-Transformation
    • Sauerbrei, W. P. Royston, and M. Look. 2007. A New Proposal for Multivariable Modeling of Time-Varying Effects in Survival Data Based on Fractional Polynomial Time-Transformation. Biometrical Journal 49 (2007) 3, 453-473
    • (2007) Biometrical Journal , vol.49 , Issue.3 , pp. 453-473
    • Sauerbrei, W.P.R.1    Look, M.2
  • 59
    • 34248995832 scopus 로고    scopus 로고
    • A general class of parametric models for recurrent event data
    • In Press
    • Stacker, R. and Peña, E. (2007). A general class of parametric models for recurrent event data. Technometrics. In Press.
    • (2007) Technometrics
    • Stacker, R.1    Peña, E.2
  • 60
    • 0036889811 scopus 로고    scopus 로고
    • Estimation in semi-parametric marginal gamma frailty models
    • Vu, H. T. V. and M. Knuiman. 2002. Estimation in semi-parametric marginal gamma frailty models. Aust. N. Z. J. Stat. 44:489-501.
    • (2002) Aust. N. Z. J. Stat , vol.44 , pp. 489-501
    • Vu, H.T.V.1    Knuiman, M.2
  • 62
    • 1842293418 scopus 로고    scopus 로고
    • An overview of statistical methods for multiple failure time data in clinical trials
    • Wei, L. J. and D. V. Glidden. 1997. An overview of statistical methods for multiple failure time data in clinical trials. Statist. Med. 16:833-839
    • (1997) Statist. Med , vol.16 , pp. 833-839
    • Wei, L.J.1    Glidden, D.V.2


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