On Bayesian Adaptation

Acta Applicandae Mathematicae

Volumn 79, Issue 1-2, 2003, Pages 165-175

  Ghosal, Subhashis ^a   Lember, Jüri ^b   Van Der Vaart, Aad ^c  

^a NORTH CAROLINA STATE UNIVERSITY   (United States)

^b Eurandom ^*  (Netherlands)

^c VU UNIVERSITY AMSTERDAM   (Netherlands)

Author keywords

Adaptation; Model selection; Posterior distribution; Rate of convergence; Sieves; Splines

Indexed keywords

CONVERGENCE OF NUMERICAL METHODS; STATISTICAL METHODS; VECTORS;

BAYESIAN ADPATATION;

MATHEMATICAL TECHNIQUES;

EID: 0142157216     PISSN: 01678019     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1025856016236     Document Type: Conference Paper

References (10)

1. Birgé, L.: Approximation dans les espaces métriques et théorie de l'estimation, Zeitschrift Wahrscheinlichkeitstheorie 65 (1983), 181-238.
2. de Boor, C: A Practical Guide to Splines, Springer, New York, 1978.
3. Ghosal, S., Ghosh, J. K. and van der Vaart, A. W.: Convergence rates of posterior distributions, Ann. Statist. 28 (2000), 500-531.
4. Kolmogorov, A. N. and Tikhomirov, V. M.: Epsilon-entropy and epsilon-capacity of sets in function spaces, Amer. Math. Soc. Transl. Ser. (2) 17 (1961), 277-364.
5. Le Cam, L. M.: Convergence of estimates under dimensionality restrictions, Ann. Statist. 2 (1973), 38-53.
6. Le Cam, L. M.: Asymptotic Methods in Statistical Decision Theory, Springer, New York, 1986.
7. Pollard, D.: Empirical Processes: Theory and Applications, Society for Industrial and Applied Mathematics, Philadelphia. NSF-CBMS Regional Conference Series in Probability and Statistics 2, Institute of Mathematical Statistics and American Statistical Association, 1990.
8. Schumaker, L. L.: Spline Functions Basic Theory, Wiley, New York, 1981.
9. Stone, C. J.: The dimensionality reduction principle for generalized additive models, Ann. Statist. 14 (1986), 590-606.
10. Stone, C. J.: Large-sample inference for log-spline models, Ann. Statist. 18 (1990), 717-741.