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Volumn 32, Issue 8, 2003, Pages 1631-1646

A Bayesian approach for nonlinear regression models with continuous errors

Author keywords

Continuous autoregressive process; Gibbs sampler; Metropolis Hastings algorithm within Gibbs sampler; Nonlinear models

Indexed keywords

ALGORITHMS; CORRELATION METHODS; DIFFERENTIAL EQUATIONS; ERROR ANALYSIS; FUNCTION EVALUATION; LEAST SQUARES APPROXIMATIONS; MATHEMATICAL MODELS; PARAMETER ESTIMATION; RANDOM PROCESSES;

EID: 0041704573     PISSN: 03610926     EISSN: None     Source Type: Journal    
DOI: 10.1081/STA-120022248     Document Type: Article
Times cited : (9)

References (22)
  • 2
    • 0002275621 scopus 로고    scopus 로고
    • MCMC for nonlinear hierarchical models
    • In: Gilks, W. R., Richardson, S., Spiegelhalter, D. J., eds.; Chapman and Hall
    • Bennett, J. E., Racine-Poon, A., Wakefield, J. C. (1996). MCMC for nonlinear hierarchical models. In: Gilks, W. R., Richardson, S., Spiegelhalter, D. J., eds. Markov Chain Monte Carlo in Practice. Chapman and Hall, pp. 339-358.
    • (1996) Markov Chain Monte Carlo in Practice , pp. 339-358
    • Bennett, J.E.1    Racine-Poon, A.2    Wakefield, J.C.3
  • 3
    • 0003478325 scopus 로고
    • CODA: Convergence diagnosis and output analysis software for Gibbs sampling output, version 0.3
    • MRC Biostatistics Unit, Cambridge
    • Best, N. G., Cowles, M. K., Vines, S. K. (1995). CODA: Convergence Diagnosis and Output Analysis Software for Gibbs sampling output, Version 0.3, MRC Biostatistics Unit, Cambridge.
    • (1995)
    • Best, N.G.1    Cowles, M.K.2    Vines, S.K.3
  • 5
    • 0031023419 scopus 로고    scopus 로고
    • A Bayesian analysis of regression models with continuous errors with application to longitudinal studies
    • Broemeling, L. D., Cook, P. (1997). A Bayesian Analysis of Regression Models with Continuous Errors with Application to Longitudinal Studies. Statistics in Medicine 16:321-332.
    • (1997) Statistics in Medicine , vol.16 , pp. 321-332
    • Broemeling, L.D.1    Cook, P.2
  • 7
    • 20244368589 scopus 로고    scopus 로고
    • A Bayesian analysis of nonlinear random effects models with continuous errors
    • Master's Thesis. Department of Statistics, Catholic University of Chile
    • De la Cruz-Mesía, R. (1999). A Bayesian Analysis of Nonlinear Random Effects Models with Continuous Errors. Master's Thesis. Department of Statistics, Catholic University of Chile.
    • (1999)
    • De La Cruz-Mesía, R.1
  • 8
    • 0031440106 scopus 로고    scopus 로고
    • Bayesian approach for the nonlinear random effects models
    • Dey, D., Chen, M.-H., Chang, H. (1997). Bayesian approach for the nonlinear random effects models. Biometrics 53:15-28.
    • (1997) Biometrics , vol.53 , pp. 15-28
    • Dey, D.1    Chen, M.-H.2    Chang, H.3
  • 10
    • 84950453304 scopus 로고
    • Sampling based approaches to calculating marginal densities
    • Gelfand, A., Smith, A. (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.1    Smith, A.2
  • 11
    • 0001032163 scopus 로고
    • Evaluating the accuracy of sampling-based approaches to the calculation of posterior moments
    • In: Bernardo, J. M., Berger, J. O., Dawid, A. P., Smith, A. F. M., eds.; Oxford University Press
    • Geweke, J. (1995). Evaluating the accuracy of sampling-based approaches to the calculation of posterior moments. In: Bernardo, J. M., Berger, J. O., Dawid, A. P., Smith, A. F. M., eds. Bayesian Statistics 4. Oxford University Press, pp. 169-194.
    • (1995) Bayesian Statistics 4 , pp. 169-194
    • Geweke, J.1
  • 13
    • 0020850136 scopus 로고
    • Simulation run length control in the presence of an initial transient
    • Heidelberger, P., Welch, P. (1983). Simulation run length control in the presence of an initial transient. Operations Research 31:1109-1144.
    • (1983) Operations Research , vol.31 , pp. 1109-1144
    • Heidelberger, P.1    Welch, P.2
  • 15
    • 0011525952 scopus 로고
    • Nonlinear mixed effects classes and methods for S
    • Technical Report 931, Department of Statistics, University of Wisconsin
    • Pinheiro, J. C., Bates, D. M., Lindstrom, M. (1994). Nonlinear mixed effects classes and methods for S, Technical Report 931, Department of Statistics, University of Wisconsin.
    • (1994)
    • Pinheiro, J.C.1    Bates, D.M.2    Lindstrom, M.3
  • 16
    • 0002008937 scopus 로고
    • Bayesian methods in practice: Experiences in the pharmaceutical industry
    • Racine, A., Grieve, A. P., Flühler, H., Smith, A. F. M. (1986). Bayesian methods in practice: experiences in the pharmaceutical industry, Appl. Statist. 35:93-150.
    • (1986) Appl. Statist. , vol.35 , pp. 93-150
    • Racine, A.1    Grieve, A.P.2    Flühler, H.3    Smith, A.F.M.4
  • 17
    • 0022378531 scopus 로고
    • Oxprenolol: Concentration effect relationship. A retrospective study
    • Racine-Poon, A., Moppert, J. (1985). Oxprenolol: concentration effect relationship. A retrospective study. Br. J. Clin. Pharmac. 19:143S-149S.
    • (1985) Br. J. Clin. Pharmac. , vol.19
    • Racine-Poon, A.1    Moppert, J.2
  • 18
    • 0003053548 scopus 로고
    • Bayesian computation via the Gibbs sampler and related Markov chain Monte Carlos methods
    • Smith, A. F. M., Roberts, G. O. (1993). Bayesian Computation via the Gibbs sampler and related Markov chain Monte Carlos methods. J. R. Statist. Soc. B 55:3-23.
    • (1993) J. R. Statist. Soc. B , vol.55 , pp. 3-23
    • Smith, A.F.M.1    Roberts, G.O.2
  • 20
    • 0000576595 scopus 로고
    • Markov chains for exploring posterior distributions
    • Tierney, L. (1994). Markov chains for exploring posterior distributions. The Annals of Statistics 22:1701-1728.
    • (1994) The Annals of Statistics , vol.22 , pp. 1701-1728
    • Tierney, L.1
  • 21
    • 0001880068 scopus 로고    scopus 로고
    • Bayesian analysis of population pharmacokinetic models
    • Wakefield, J. C. (1996). Bayesian Analysis of Population Pharmacokinetic Models. J. Amer. Statist. Assoc. 91:62-75.
    • (1996) J. Amer. Statist. Assoc. , vol.91 , pp. 62-75
    • Wakefield, J.C.1
  • 22
    • 4243839021 scopus 로고
    • Bayesian analysis of linear and non-linear population models by using the Gibbs sampler
    • Wakefield, J. C., Smith, A. F. M., Racine-Poon, A., Gelfand, A. E. (1994). Bayesian Analysis of Linear and Non-linear Population Models by using the Gibbs Sampler. Appl. Statist. 43:201-221.
    • (1994) Appl. Statist. , vol.43 , pp. 201-221
    • Wakefield, J.C.1    Smith, A.F.M.2    Racine-Poon, A.3    Gelfand, A.E.4


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.