메뉴 건너뛰기




Volumn 52, Issue 3, 1996, Pages 307-321

Semiparametric errors-in-variables models: A Bayesian approach

Author keywords

Calibration curve; Covariate measurement error; Generalized linear model; Link function; Metropolis within Gibbs algorithm; Mixture of betas distribution; Response measurement error

Indexed keywords


EID: 0030191307     PISSN: 03783758     EISSN: None     Source Type: Journal    
DOI: 10.1016/0378-3758(95)00139-5     Document Type: Article
Times cited : (23)

References (36)
  • 1
    • 0001590837 scopus 로고
    • Measurement error in generalized linear models
    • Armstrong, B. (1985). Measurement error in generalized linear models. Comm. Statist. Ser. B 14, 529-544.
    • (1985) Comm. Statist. Ser. B , vol.14 , pp. 529-544
    • Armstrong, B.1
  • 5
    • 0011624472 scopus 로고
    • Correcting for nonlinear measurement errors in the dependent variable in the general linear mode
    • Buonaccorsi, P.J. and D.T. Tosteson (1993). Correcting for nonlinear measurement errors in the dependent variable in the general linear mode. Comm. Statist. Ser. B 22, 2687-2701.
    • (1993) Comm. Statist. Ser. B , vol.22 , pp. 2687-2701
    • Buonaccorsi, P.J.1    Tosteson, D.T.2
  • 6
    • 0000365503 scopus 로고
    • Approaches for empirical Bayes confidence intervals
    • Carlin, B.P. and A.E. Gelfand (1990). Approaches for empirical Bayes confidence intervals. J. Amer. Statist. Assoc. 85, 105-114.
    • (1990) J. Amer. Statist. Assoc. , vol.85 , pp. 105-114
    • Carlin, B.P.1    Gelfand, A.E.2
  • 7
    • 0011622110 scopus 로고
    • Approaches to estimation with errors in predictors
    • J.O. Berger et al. Eds., Springer, New York
    • Carroll, R.J. (1992). Approaches to estimation with errors in predictors. In: J.O. Berger et al. Eds., Advances in GLIM and Statistical Modeling, Springer, New York, 40-44.
    • (1992) Advances in GLIM and Statistical Modeling , pp. 40-44
    • Carroll, R.J.1
  • 9
    • 84950429607 scopus 로고
    • Errors in variables for nonlinear regression: Dimension reduction and data visualization
    • Carroll, R.J. and K.C. Li (1993). Errors in variables for nonlinear regression: dimension reduction and data visualization. J. Amer. Statist. Assoc. 87, 1040-1050.
    • (1993) J. Amer. Statist. Assoc. , vol.87 , pp. 1040-1050
    • Carroll, R.J.1    Li, K.C.2
  • 11
    • 0001506817 scopus 로고
    • Approximate quasilikelihood estimation in models with surrogate predictors
    • Carroll, R.J. and L.A. Stefanski (1990). Approximate quasilikelihood estimation in models with surrogate predictors. J. Amer. Statist. Assoc. 85, 652-663.
    • (1990) J. Amer. Statist. Assoc. , vol.85 , pp. 652-663
    • Carroll, R.J.1    Stefanski, L.A.2
  • 12
    • 0039644192 scopus 로고
    • Bayesian inference for generalised linear and proportional hazard models via Gibbs sampling
    • Dellportas, P. and A.F.M. Smith (1992). Bayesian inference for generalised linear and proportional hazard models via Gibbs sampling. Appl. Statist. 42, 443-460.
    • (1992) Appl. Statist. , vol.42 , pp. 443-460
    • Dellportas, P.1    Smith, A.F.M.2
  • 14
    • 0000811835 scopus 로고
    • Conjugate priors for exponential families
    • Diaconis, P. and D. Ylvisaker (1979). Conjugate priors for exponential families. Ann. Statist. 7, 269-281.
    • (1979) Ann. Statist. , vol.7 , pp. 269-281
    • Diaconis, P.1    Ylvisaker, D.2
  • 15
    • 0001501154 scopus 로고
    • Quantifying prior opinion
    • J.M. Bernardo et al., Eds., North Holland, Amsterdam
    • Diaconis, P. and D. Ylvisaker (1985). Quantifying prior opinion. In: J.M. Bernardo et al., Eds., Bayesian Statistics, Vol. 2. 133-156. North Holland, Amsterdam.
    • (1985) Bayesian Statistics , vol.2 , pp. 133-156
    • Diaconis, P.1    Ylvisaker, D.2
  • 17
    • 0000539315 scopus 로고
    • Bayesian model choice: Asymptotics and exact calculations
    • Gelfand, A.E. and D.K. Dey (1994). Bayesian model choice: asymptotics and exact calculations. J. Roy. Statist. Soc. Ser. B 56, 501-514.
    • (1994) J. Roy. Statist. Soc. Ser. B , vol.56 , pp. 501-514
    • Gelfand, A.E.1    Dey, D.K.2
  • 18
    • 0000079228 scopus 로고
    • Model determination using predictive distributions with implementation via sampling-based methods
    • J.M. Bernando et al., Eds., Oxford University Press, Oxford, 147-167
    • Gelfand, A.E., O.K. Dey and H. Chang (1992). Model determination using predictive distributions with implementation via sampling-based methods. In: J.M. Bernando et al., Eds., Bayesian Statistics, Vol. 4. 133-156. Oxford University Press, Oxford, 147-167.
    • (1992) Bayesian Statistics , vol.4 , pp. 133-156
    • Gelfand, A.E.1    Dey, O.K.2    Chang, H.3
  • 19
    • 84950453304 scopus 로고
    • Sampling based approaches to calculating marginal densities
    • Gelfand, A.E. and A.F.M. Smith (1990). Sampling based approaches to calculating marginal densities. J. Amer. Statist. Assoc. 85, 398-409.
    • (1990) J. Amer. Statist. Assoc. , vol.85 , pp. 398-409
    • Gelfand, A.E.1    Smith, A.F.M.2
  • 20
    • 84972492387 scopus 로고
    • Inference from iterative simulation using multiple sequences
    • Gelman, A. and D.B. Rubin (1992). Inference from iterative simulation using multiple sequences (with discussion). Statist. Sci. 7, 457-472.
    • (1992) Statist. Sci. , vol.7 , pp. 457-472
    • Gelman, A.1    Rubin, D.B.2
  • 21
  • 22
    • 0000324169 scopus 로고
    • Adaptive rejection sampling for Gibbs sampling
    • Gilks, W.R. and P. Wild (1992). Adaptive rejection sampling for Gibbs sampling. Appl. Statist. 41, 337-348.
    • (1992) Appl. Statist. , vol.41 , pp. 337-348
    • Gilks, W.R.1    Wild, P.2
  • 23
    • 79960450252 scopus 로고
    • On Bayesian analysis of generalized linear models using Jeffreys's prior
    • Ibrahim, J. and P. Laud (1991). On Bayesian analysis of generalized linear models using Jeffreys's prior. J. Amer. Statist. Assoc. 86, 981-986.
    • (1991) J. Amer. Statist. Assoc. , vol.86 , pp. 981-986
    • Ibrahim, J.1    Laud, P.2
  • 25
    • 0001256114 scopus 로고
    • Generalized linear models with unknown link functions
    • Mallick, B.K. and A.E. Gelfand (1994). Generalized linear models with unknown link functions. Biometrika 81, 237-245.
    • (1994) Biometrika , vol.81 , pp. 237-245
    • Mallick, B.K.1    Gelfand, A.E.2
  • 26
    • 5844274347 scopus 로고
    • Metropolis posterior integration schemes
    • to appear
    • Müller, P. (1995). Metropolis posterior integration schemes. Statist. Comput. (to appear).
    • (1995) Statist. Comput.
    • Müller, P.1
  • 28
    • 0000115201 scopus 로고
    • Measuring the effect of observation on Bayes factors
    • Pettit, L.I. and K.D.S. Young (1990). Measuring the effect of observation on Bayes factors. Biometrika 77, 455-466.
    • (1990) Biometrika , vol.77 , pp. 455-466
    • Pettit, L.I.1    Young, K.D.S.2
  • 29
    • 84907522262 scopus 로고
    • Some insights into the errors in variables problem provided by consideration of radiation dose-response analyses for the A-bomb survivors
    • Pierce, D.A., D.O. Stram, M. Vaeth and D. Schafer (1992). Some insights into the errors in variables problem provided by consideration of radiation dose-response analyses for the A-bomb survivors. J. Amer. Statist. Assoc. 87, 351-359.
    • (1992) J. Amer. Statist. Assoc. , vol.87 , pp. 351-359
    • Pierce, D.A.1    Stram, D.O.2    Vaeth, M.3    Schafer, D.4
  • 30
    • 0027376052 scopus 로고
    • A Bayesian approach to measurement error problems in epidemiology using conditional independence models
    • Richardson, S. and W.R. Gilks (1993a). A Bayesian approach to measurement error problems in Epidemiology using conditional independence models. American Journal of Epidemiology 6, 430-442.
    • (1993) American Journal of Epidemiology , vol.6 , pp. 430-442
    • Richardson, S.1    Gilks, W.R.2
  • 31
    • 0027317883 scopus 로고
    • Conditional independence models for epidemiological studies with covariate measurement error problems in using
    • Richardson, S and W.R. Gilks (1993b). Conditional independence models for Epidemiological studies with covariate measurement error problems in using. Statistics in Medicine 12, 1703-1722.
    • (1993) Statistics in Medicine , vol.12 , pp. 1703-1722
    • Richardson, S.1    Gilks, W.R.2
  • 33
    • 0000698489 scopus 로고
    • Score tests in generalised linear measurement error models
    • Stefanski, L.A. and R.J. Carroll (1990). Score tests in generalised linear measurement error models. J. R. Statist. Soc. B 52, 345-359.
    • (1990) J. R. Statist. Soc. B , vol.52 , pp. 345-359
    • Stefanski, L.A.1    Carroll, R.J.2
  • 34
    • 0000143348 scopus 로고
    • Bayesian analysis of generalised linear models with covariate measurement error
    • J.M. Bernardo et al., Eds., Oxford University Press, Oxford
    • Stephens, D.A. and P. Dellportas (1992). Bayesian analysis of generalised linear models with covariate measurement error. In: J.M. Bernardo et al., Eds., Bayesian Statistics, Vol. 4. Oxford University Press, Oxford, 813-820.
    • (1992) Bayesian Statistics , vol.4 , pp. 813-820
    • Stephens, D.A.1    Dellportas, P.2
  • 35
    • 0000576595 scopus 로고
    • Markov chains for exploring posterior distributions
    • Tierney, L. (1994). Markov chains for exploring posterior distributions (with discussion). Ann. Statist. 22, 1701-1762.
    • (1994) Ann. Statist. , vol.22 , pp. 1701-1762
    • Tierney, L.1
  • 36
    • 85041988327 scopus 로고
    • On the existence and uniqueness of the maximum likelihood estimates for certain generalized linear models
    • Wedderburn, R.W.M. (1976). On the existence and uniqueness of the maximum likelihood estimates for certain generalized linear models. Biometrika 63, 27-32.
    • (1976) Biometrika , vol.63 , pp. 27-32
    • Wedderburn, R.W.M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.