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Volumn 91, Issue 436, 1996, Pages 1461-1473

The Effect of Improper Priors on Gibbs Sampling in Hierarchical Linear Mixed Models

Author keywords

Animal breeding; Compatibility; Functional compatibility; Improper posterior; Markov chain; Monte Carlo; Variance components

Indexed keywords


EID: 0030327881     PISSN: 01621459     EISSN: 1537274X     Source Type: Journal    
DOI: 10.1080/01621459.1996.10476714     Document Type: Article
Times cited : (336)

References (36)
  • 4
    • 0000402056 scopus 로고
    • On the Distinction Between the Conditional Probability and the Joint Probability Approaches in the Specification of NearestNeighbour Systems
    • Brook, D. (1964), "On the Distinction Between the Conditional Probability and the Joint Probability Approaches in the Specification of NearestNeighbour Systems," Biometrika, 51, 481-483.
    • (1964) Biometrika , vol.51 , pp. 481-483
    • Brook, D.1
  • 5
    • 21844513757 scopus 로고
    • Estimation With Selected Binomial Information or, Do You Really Believe That Dave Winfield is Batting.471 ?
    • Casella, G., and Berger, R. L. (1994), "Estimation With Selected Binomial Information or, Do You Really Believe That Dave Winfield is Batting.471 ?," Journal of the American Statistical Association, 89, 1080-1090.
    • (1994) Journal of the American Statistical Association , vol.89 , pp. 1080-1090
    • Casella, G.1    Berger, R.L.2
  • 7
    • 0011663470 scopus 로고
    • A Unified Bayesian Prediction Theory for Mixed Linear Models With Application
    • Datta, G. S. (1992), "A Unified Bayesian Prediction Theory for Mixed Linear Models With Application," Statistics and Decisions, 10, 337-365.
    • (1992) Statistics and Decisions , vol.10 , pp. 337-365
    • Datta, G.S.1
  • 8
    • 0000720068 scopus 로고
    • Bayesian Prediction in Linear Models: Applications to Small Area Estimation
    • Datta, G. S., and Ghosh, M. (1991), "Bayesian Prediction in Linear Models: Applications to Small Area Estimation," The Annals of Statistics, 19, 1748-1770.
    • (1991) The Annals of Statistics , vol.19 , pp. 1748-1770
    • Datta, G.S.1    Ghosh, M.2
  • 16
    • 0000051109 scopus 로고
    • "Constrained Monte Carlo Maximum Likelihood for Dependent Data" (With discussion)
    • Geyer, C. J., and Thompson, E. A. (1992), "Constrained Monte Carlo Maximum Likelihood for Dependent Data" (with discussion), Journal of the Royal Statistical Society, Ser. B, 54, 657-499.
    • (1992) Journal of the Royal Statistical Society, Ser. B , vol.54 , pp. 657-499
    • Geyer, C.J.1    Thompson, E.A.2
  • 17
    • 84972540490 scopus 로고
    • "Small Area Estimation: An Appraisal" (with discussion)
    • Ghosh, M., and Rao, J. N. K. (1994), "Small Area Estimation: An Appraisal" (with discussion), Statistical Science, 9, 55-93.
    • (1994) Statistical Science , vol.9 , pp. 55-93
    • Ghosh, M.1    Rao, J.2
  • 18
  • 19
    • 0000267213 scopus 로고
    • Inference About Variance Components in the One-Way Model
    • Hill, B. M. (1965), "Inference About Variance Components in the One-Way Model," Journal of the American Statistical Association, 60, 806-825.
    • (1965) Journal of the American Statistical Association , vol.60 , pp. 806-825
    • Hill, B.M.1
  • 22
    • 79960450252 scopus 로고
    • On Bayesian Analysis of Generalized Linear Models Using Jeffreys's Prior
    • Ibrahim, I. G., and Laud, P. W (1991), "On Bayesian Analysis of Generalized Linear Models Using Jeffreys's Prior," Journal of the American Statistical Association, 86,981-986.
    • (1991) Journal of the American Statistical Association , vol.86 , pp. 981-986
    • Ibrahim, I.G.1    Laud, P.W.2
  • 23
    • 80052029170 scopus 로고
    • Approximate Bayesian Inference in Conditionally Independent Hierarchical Models (Parametric Empirical Bayes Models)
    • Kass, R. E., and Steffey, D. (1989), "Approximate Bayesian Inference in Conditionally Independent Hierarchical Models (Parametric Empirical Bayes Models)," Journal of the American Statistical Association, 84, 717-726.
    • (1989) Journal of the American Statistical Association , vol.84 , pp. 717-726
    • Kass, R.E.1    Steffey, D.2
  • 27
    • 0001660344 scopus 로고
    • A Note on the Existence of the Posterior Distribution for a Class of Mixed Models for Binomial Responses
    • Natarajan, R, and McCulloch, C. E. (1995), "A Note on the Existence of the Posterior Distribution for a Class of Mixed Models for Binomial Responses," Biometrika, 82, 639-643.
    • (1995) Biometrika , vol.82 , pp. 639-643
    • Natarajan, R.1    McCulloch, C.E.2
  • 28
    • 84972527127 scopus 로고
    • Convergence Control Methods for Markov Chain Monte Carlo Algorithms
    • Robert, C. P. (1995), "Convergence Control Methods for Markov Chain Monte Carlo Algorithms," Statistical Science, 10, 231-253.
    • (1995) Statistical Science , vol.10 , pp. 231-253
    • Robert, C.P.1
  • 32
    • 0002558410 scopus 로고
    • Bayesian Analysis of Random-Effect Models in the Analysis of Variance. I. Posterior Distribution of Variance Components
    • Tiao, G. C., and Tan, W Y. (1965), "Bayesian Analysis of Random-Effect Models in the Analysis of Variance. I. Posterior Distribution of Variance Components," Biometrika, 52, 37-53.
    • (1965) Biometrika , vol.52 , pp. 37-53
    • Tiao, G.C.1    Tan, W.Y.2
  • 33
    • 85011181115 scopus 로고
    • Markov Chains for Exploring Posterior Distributions
    • Tierney, L. (1994), "Markov Chains for Exploring Posterior Distributions" (with discussion), The Annals of Statistics, 22, 1701-1762.
    • (1994) (With Discussion), the Annals of Statistics , vol.22 , pp. 1701-1762
    • Tierney, L.1
  • 34
    • 0003124559 scopus 로고
    • Marginal Inferences About Variance Components in a Mixed Linear Model Using Gibbs Sampling
    • Wang, C. S., Rutledge, J. J., and Gianola, D. (1993), "Marginal Inferences About Variance Components in a Mixed Linear Model Using Gibbs Sampling," Genetique, Selection, Evolution, 25, 41-42.
    • (1993) Genetique, Selection, Evolution , vol.25 , pp. 41-42
    • Wang, C.S.1    Rutledge, J.J.2    Gianola, D.3
  • 35
    • 0028117976 scopus 로고
    • Bayesian Analysis of Mixed Linear Models via Gibbs Sampling With an Application to Litter Size of Iberian Pigs
    • Wang, C. S., Rutledge, J. J., and Gianola, D. (1994), "Bayesian Analysis of Mixed Linear Models via Gibbs Sampling With an Application to Litter Size of Iberian Pigs," Genetique, Selection, Evolution, 26, 1-25.
    • (1994) Genetique, Selection, Evolution , vol.26 , pp. 1-25
    • Wang, C.S.1    Rutledge, J.J.2    Gianola, D.3
  • 36
    • 84910906566 scopus 로고
    • Generalized Linear Models With Random Effects: A Gibbs Sampling Approach
    • Zeger, S. L., and Karim, M. R. (1991), "Generalized Linear Models With Random Effects: A Gibbs Sampling Approach," Journal ofthe American Statistical Association, 86, 79-86.
    • (1991) Journal Ofthe American Statistical Association , vol.86 , pp. 79-86
    • Zeger, S.L.1    Karim, M.R.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.