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Volumn 65, Issue 1, 2003, Pages 317-329

A simple estimator for a shared frailty regression model

Author keywords

Cluster effect; Genetic epidemiology; Multiplicative hazards; Partial likelihood; Ratio estimator; Semiparametric estimation; Stratification

Indexed keywords


EID: 0141464845     PISSN: 13697412     EISSN: None     Source Type: Journal    
DOI: 10.1111/1467-9868.00388     Document Type: Article
Times cited : (31)

References (45)
  • 1
    • 0001646484 scopus 로고
    • Cox's regression model for counting processes: A large sample study
    • Andersen, P. K. and Gill, R. D. (1982) Cox's regression model for counting processes: a large sample study. Ann. Statist., 10, 1100-1120.
    • (1982) Ann. Statist. , vol.10 , pp. 1100-1120
    • Andersen, P.K.1    Gill, R.D.2
  • 2
    • 0031452175 scopus 로고    scopus 로고
    • Estimation of variance in Cox's regression model with shared gamma frailties
    • Andersen, P. K., Klein, J. P., Knudsen, K. M. and Palacios, R. T. Y. (1997) Estimation of variance in Cox's regression model with shared gamma frailties. Biometrics, 53, 1475-1484.
    • (1997) Biometrics , vol.53 , pp. 1475-1484
    • Andersen, P.K.1    Klein, J.P.2    Knudsen, K.M.3    Palacios, R.T.Y.4
  • 3
    • 0002274551 scopus 로고
    • Residuals for relative risk regression
    • Barlow, W. E. and Prentice, R. L. (1988) Residuals for relative risk regression. Biometrika, 75, 65-74.
    • (1988) Biometrika , vol.75 , pp. 65-74
    • Barlow, W.E.1    Prentice, R.L.2
  • 4
    • 0000414747 scopus 로고
    • Effects of omitting covariates in Cox's model for survival data
    • Bretagnolle, J. and Huber-Carol, C. (1988) Effects of omitting covariates in Cox's model for survival data. Scand. J. Statist., 15, 125-138.
    • (1988) Scand. J. Statist. , vol.15 , pp. 125-138
    • Bretagnolle, J.1    Huber-Carol, C.2
  • 5
    • 0017883262 scopus 로고
    • A model for association in bivariate life tables and its application to epidemiological studies of familial tendency in chronic disease incidence
    • Clayton, D. G. (1978) A model for association in bivariate life tables and its application to epidemiological studies of familial tendency in chronic disease incidence. Biometrika, 65, 141-151.
    • (1978) Biometrika , vol.65 , pp. 141-151
    • Clayton, D.G.1
  • 6
    • 0000336139 scopus 로고
    • Regression models and life-tables
    • Cox, D. R. (1972) Regression models and life-tables (with discussion). J. R. Statist. Soc. B, 34, 187-220.
    • (1972) J. R. Statist. Soc. B , vol.34 , pp. 187-220
    • Cox, D.R.1
  • 7
    • 0016794660 scopus 로고
    • Partial likelihood
    • Cox, D. R. (1975) Partial likelihood. Biometrika, 62, 269-276.
    • (1975) Biometrika , vol.62 , pp. 269-276
    • Cox, D.R.1
  • 8
    • 0002629270 scopus 로고
    • Maximum likelihood from incomplete data via the EM algorithm
    • Dempster, A. P., Laird, N. M. and Rubin, D. B. (1977) Maximum likelihood from incomplete data via the EM algorithm (with discussion). J. R. Statist. Soc. B, 39, 1-38.
    • (1977) J. R. Statist. Soc. B , vol.39 , pp. 1-38
    • Dempster, A.P.1    Laird, N.M.2    Rubin, D.B.3
  • 9
    • 0034568623 scopus 로고    scopus 로고
    • Dependence estimation over a finite bivariate failure time region
    • Fan, J. J., Hsu, L. and Prentice, R. L. (2000) Dependence estimation over a finite bivariate failure time region. Lifetime Data Anal., 6, 343-355.
    • (2000) Lifetime Data Anal. , vol.6 , pp. 343-355
    • Fan, J.J.1    Hsu, L.2    Prentice, R.L.3
  • 10
    • 0001383947 scopus 로고    scopus 로고
    • Checking the adequacy of the gamma frailty model for multivariate failure times
    • Glidden, D. V. (1999) Checking the adequacy of the gamma frailty model for multivariate failure times. Biometrika, 86, 381-394.
    • (1999) Biometrika , vol.86 , pp. 381-394
    • Glidden, D.V.1
  • 11
    • 0040100654 scopus 로고
    • Matched pair experiments: Cox and maximum likelihood estimation
    • Gross, S. T. and Huber, C. (1987) Matched pair experiments: Cox and maximum likelihood estimation. Scand. J. Statist., 14, 27-41.
    • (1987) Scand. J. Statist. , vol.14 , pp. 27-41
    • Gross, S.T.1    Huber, C.2
  • 12
    • 0012232570 scopus 로고    scopus 로고
    • Hierarchical likelihood approach for frailty models
    • Ha, I. D., Lee, Y. and Song, J.-K. (2001) Hierarchical likelihood approach for frailty models. Biometrika, 88, 233-243.
    • (2001) Biometrika , vol.88 , pp. 233-243
    • Ha, I.D.1    Lee, Y.2    Song, J.-K.3
  • 13
    • 0015949226 scopus 로고
    • Survival analysis in twin studies and matched pair experiments
    • Holt, J. D. and Prentice, R. L. (1974) Survival analysis in twin studies and matched pair experiments. Biometrika, 61, 17-30.
    • (1974) Biometrika , vol.61 , pp. 17-30
    • Holt, J.D.1    Prentice, R.L.2
  • 14
    • 77956889117 scopus 로고
    • A class of multivariate failure time distributions
    • Hougaard, P. (1986) A class of multivariate failure time distributions. Biometrika, 73, 671-678.
    • (1986) Biometrika , vol.73 , pp. 671-678
    • Hougaard, P.1
  • 16
    • 0023829194 scopus 로고
    • Can familial aggregation of disease be explained by familial aggregation of environmental risk factors?
    • Khoury, M. J., Beaty, T. H. and Liang, K.-Y. (1988) Can familial aggregation of disease be explained by familial aggregation of environmental risk factors? Am. J. Epidem., 127, 674-683.
    • (1988) Am. J. Epidem. , vol.127 , pp. 674-683
    • Khoury, M.J.1    Beaty, T.H.2    Liang, K.-Y.3
  • 17
    • 0035425830 scopus 로고    scopus 로고
    • The risk of incident age-related eye diseases in those with an affected sibling: The Beaver Dam Eye Study
    • Klein, B. E. K., Klein, R., Lee, K. E., Moore, E. L. and Danforth, L. (2001) The risk of incident age-related eye diseases in those with an affected sibling: the Beaver Dam Eye Study. Am. J. Epidem., 154, 207-211.
    • (2001) Am. J. Epidem. , vol.154 , pp. 207-211
    • Klein, B.E.K.1    Klein, R.2    Lee, K.E.3    Moore, E.L.4    Danforth, L.5
  • 18
    • 0002889725 scopus 로고
    • Cox-type regression analysis for large numbers of small groups of correlated failure time observations
    • Norwell: Kluwer
    • Lee, E. W., Wei, L. J. and Amato, D. A. (1992) Cox-type regression analysis for large numbers of small groups of correlated failure time observations. In Survival Analysis: State of the Art, pp. 237-247. Norwell: Kluwer.
    • (1992) Survival Analysis: State of the Art , pp. 237-247
    • Lee, E.W.1    Wei, L.J.2    Amato, D.A.3
  • 19
    • 0034761480 scopus 로고    scopus 로고
    • Aggregation of refractive error and five-year changes in refractive error among families in the Beaver Dam Eye Study
    • Lee, K. E., Klein, B. E. K., Klein, R. and Fine, J. P. (2001) Aggregation of refractive error and five-year changes in refractive error among families in the Beaver Dam Eye Study. Arch. Ophthalm., 119, 1679-1685.
    • (2001) Arch. Ophthalm. , vol.119 , pp. 1679-1685
    • Lee, K.E.1    Klein, B.E.K.2    Klein, R.3    Fine, J.P.4
  • 20
    • 0000312997 scopus 로고    scopus 로고
    • Hierarchical generalized linear models
    • Lee, Y. and Nelder, J. A. (1996) Hierarchical generalized linear models (with discussion). J. R. Statist. Soc. B, 58, 619-678.
    • (1996) J. R. Statist. Soc. B , vol.58 , pp. 619-678
    • Lee, Y.1    Nelder, J.A.2
  • 21
    • 77957888445 scopus 로고
    • Checking the Cox model with cumulative sums of martingale-based residuals
    • Lin, D. Y., Wei, L. J. and Ying, Z. (1993) Checking the Cox model with cumulative sums of martingale-based residuals. Biometrika, 80, 557-572.
    • (1993) Biometrika , vol.80 , pp. 557-572
    • Lin, D.Y.1    Wei, L.J.2    Ying, Z.3
  • 22
    • 0031776315 scopus 로고    scopus 로고
    • Between- and within-cluster covariate effects in the analysis of clustered data
    • Neuhaus, J. M. and Kalbfleisch, J. D. (1998) Between- and within-cluster covariate effects in the analysis of clustered data. Biometrics, 54, 638-645.
    • (1998) Biometrics , vol.54 , pp. 638-645
    • Neuhaus, J.M.1    Kalbfleisch, J.D.2
  • 23
    • 0000036435 scopus 로고
    • A model for association in bivariate survival data
    • Oakes, D. (1982) A model for association in bivariate survival data. J. R. Statist. Soc. B, 44, 414-422.
    • (1982) J. R. Statist. Soc. B , vol.44 , pp. 414-422
    • Oakes, D.1
  • 24
    • 0001503306 scopus 로고
    • Semiparametric inference in bivariate survival data
    • Oakes, D. (1986) Semiparametric inference in bivariate survival data. Biometrika, 73, 353-361.
    • (1986) Biometrika , vol.73 , pp. 353-361
    • Oakes, D.1
  • 25
    • 23444432123 scopus 로고
    • Bivariate survival models induced by frailties
    • Oakes, D. (1989) Bivariate survival models induced by frailties. J. Am. Statist. Ass., 84, 487-493.
    • (1989) J. Am. Statist. Ass. , vol.84 , pp. 487-493
    • Oakes, D.1
  • 26
    • 0032395685 scopus 로고    scopus 로고
    • Asymptotic theory for correlated gamma-frailty model
    • Parner, E. (1998) Asymptotic theory for correlated gamma-frailty model. Ann. Statist., 26, 183-214.
    • (1998) Ann. Statist. , vol.26 , pp. 183-214
    • Parner, E.1
  • 27
    • 0000784399 scopus 로고    scopus 로고
    • Regression on hazard ratios and cross ratios in multivariate failure time analysis
    • Prentice, R. L. and Hsu, L. (1997) Regression on hazard ratios and cross ratios in multivariate failure time analysis. Biometrika, 84, 349-363.
    • (1997) Biometrika , vol.84 , pp. 349-363
    • Prentice, R.L.1    Hsu, L.2
  • 28
    • 0026010582 scopus 로고
    • Estimating equations for parameters in means and covariances of multivariate discrete and continuous responses
    • Prentice, R. L. and Zhao, L. P. (1991) Estimating equations for parameters in means and covariances of multivariate discrete and continuous responses. Biometrics, 47, 825-839.
    • (1991) Biometrics , vol.47 , pp. 825-839
    • Prentice, R.L.1    Zhao, L.P.2
  • 30
    • 0033562455 scopus 로고    scopus 로고
    • Markers of inflammation and prediction of diabetes mellitus in adults: A cohort study
    • Schmidt, M. I., Duncan, B. B. and Sharrett, A. R. (1999) Markers of inflammation and prediction of diabetes mellitus in adults: a cohort study. Lancet, 353, 1649-1652.
    • (1999) Lancet , vol.353 , pp. 1649-1652
    • Schmidt, M.I.1    Duncan, B.B.2    Sharrett, A.R.3
  • 31
    • 0000549737 scopus 로고
    • The asymptotic properties of nonparametric tests for comparing survival distributions
    • Schoenfeld, D. A. (1981) The asymptotic properties of nonparametric tests for comparing survival distributions. Biometrika, 68, 316-319.
    • (1981) Biometrika , vol.68 , pp. 316-319
    • Schoenfeld, D.A.1
  • 32
    • 0023433230 scopus 로고
    • The impact of heterogeneity on the comparison of survival times
    • Schumacher, M., Olschewski, M. and Schmoor, C. (1987) The impact of heterogeneity on the comparison of survival times. Statist. Med., 6, 773-784.
    • (1987) Statist. Med. , vol.6 , pp. 773-784
    • Schumacher, M.1    Olschewski, M.2    Schmoor, C.3
  • 33
    • 84907319426 scopus 로고
    • Asymptotic properties of maximum likelihood estimators and likelihood ratio tests under nonstandard conditions
    • Self, S. G. and Liang, K.-Y. (1987) Asymptotic properties of maximum likelihood estimators and likelihood ratio tests under nonstandard conditions. J. Am. Statist. Ass., 82, 605-610.
    • (1987) J. Am. Statist. Ass. , vol.82 , pp. 605-610
    • Self, S.G.1    Liang, K.-Y.2
  • 34
    • 0012778342 scopus 로고    scopus 로고
    • A goodness-of-fit test for association in a bivariate survival model
    • Shih, J. H. (1998) A goodness-of-fit test for association in a bivariate survival model. Biometrika, 85, 189-200.
    • (1998) Biometrika , vol.85 , pp. 189-200
    • Shih, J.H.1
  • 35
    • 0029597951 scopus 로고
    • Inferences on the association parameter in copula models for bivariate survival data
    • Shih, J. H. and Louis, T. A. (1995) Inferences on the association parameter in copula models for bivariate survival data. Biometrics, 51, 1384-1399.
    • (1995) Biometrics , vol.51 , pp. 1384-1399
    • Shih, J.H.1    Louis, T.A.2
  • 37
    • 0000406422 scopus 로고    scopus 로고
    • Checking the marginal Cox model for correlated failure time data
    • Spiekerman, C. F. and Lin, D. Y. (1996) Checking the marginal Cox model for correlated failure time data. Biometrika, 83, 143-156.
    • (1996) Biometrika , vol.83 , pp. 143-156
    • Spiekerman, C.F.1    Lin, D.Y.2
  • 38
    • 0000619374 scopus 로고
    • Misspecified proportional hazard models
    • Struthers, C. A. and Kalbfleisch, J. D. (1986) Misspecified proportional hazard models. Biometrika, 73, 363-369.
    • (1986) Biometrika , vol.73 , pp. 363-369
    • Struthers, C.A.1    Kalbfleisch, J.D.2
  • 40
    • 77956890008 scopus 로고
    • Martingale based residuals for survival models
    • Therneau, T. M., Grambsch, P. M. and Fleming, T. R. (1990) Martingale based residuals for survival models. Biometrika, 77, 147-160.
    • (1990) Biometrika , vol.77 , pp. 147-160
    • Therneau, T.M.1    Grambsch, P.M.2    Fleming, T.R.3
  • 41
    • 84982459892 scopus 로고
    • Semi-parametric estimation of covariate effects using the positive stable frailty model
    • Wang, S. T., Klein, J. P. and Moeschberger, M. L. (1995) Semi-parametric estimation of covariate effects using the positive stable frailty model. Appl. Stochast. Mod. Data Anal., 11, 121-133.
    • (1995) Appl. Stochast. Mod. Data Anal. , vol.11 , pp. 121-133
    • Wang, S.T.1    Klein, J.P.2    Moeschberger, M.L.3
  • 42
    • 0442325138 scopus 로고    scopus 로고
    • Model selection and semiparametric inference for bivariate failure-time data
    • Wang, W. and Wells, M. T. (2000) Model selection and semiparametric inference for bivariate failure-time data. J. Am. Statist. Ass., 95, 62-72.
    • (2000) J. Am. Statist. Ass. , vol.95 , pp. 62-72
    • Wang, W.1    Wells, M.T.2
  • 43
    • 79953752268 scopus 로고
    • Regression analysis of multivariate incomplete failure time data by modelling marginal distributions
    • Wei, L. J., Lin, D. Y. and Weissfeld, L. (1989) Regression analysis of multivariate incomplete failure time data by modelling marginal distributions. J. Am. Statist. Ass., 84, 1065-1073.
    • (1989) J. Am. Statist. Ass. , vol.84 , pp. 1065-1073
    • Wei, L.J.1    Lin, D.Y.2    Weissfeld, L.3
  • 44
    • 12244310929 scopus 로고
    • Correlated binary regression using a quadratic exponential model
    • Zhao, L. P. and Prentice, R. L. (1990) Correlated binary regression using a quadratic exponential model. Biometrika, 77, 642-648.
    • (1990) Biometrika , vol.77 , pp. 642-648
    • Zhao, L.P.1    Prentice, R.L.2
  • 45
    • 0000050611 scopus 로고
    • Multivariate mean parameter estimation by using a partly exponential model
    • Zhao, L. P., Prentice, R. L. and Self, S. G. (1992) Multivariate mean parameter estimation by using a partly exponential model. J. R. Statist. Soc. B, 54, 805-811.
    • (1992) J. R. Statist. Soc. B , vol.54 , pp. 805-811
    • Zhao, L.P.1    Prentice, R.L.2    Self, S.G.3


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