Histograms selection with an Akaike type criterion;Selection d'histogrammes à l'aide d'un critère de type Akaike

Comptes Rendus de l'Academie des Sciences - Series I: Mathematics

Volumn 330, Issue 8, 2000, Pages 729-732

  Castellan, Gwénaëlle ^a  

^a UNIVERSITÉ PARIS SACLAY   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0034654759     PISSN: 07644442     EISSN: None     Source Type: Journal    
DOI: 10.1016/s0764-4442(00)00250-0     Document Type: Article

References (7)

1. Akaike H., Information theory and an extension of the maximum likelihood principle, in: Proc. 2nd Int. Symp. on Information Theory, Petrov P.N., Csaki F. (Eds.), Akademia Kiado, Budapest, 1973, pp. 267-281.
2. Barron A.R., Birgé L., Massart P., Risk bounds for model selection via penalization, Probab. Th. Relat. Fields 113 (1999) 301-415.
3. Birgé L., Massart P., Minimum contrast estimators on sieves: Exponential bounds and rates of convergence, Bernoulli 4 (1998) 329-375.
4. Birgé L., Rozenholc Y., How Many Bins Should Be Put in A Regular Histogram, Technical Report, 1999.
5. Castellan G., Modified Akaike's Criterion for Histogram Density Estimation, Preprint 99.61, Université de Paris-Sud, 1999.
6. Massart P., About the constants in Talagrand's concentration inequalities for empirical processes, Ann. Probab. (2000) (to appear).
7. Talagrand M., New concentration inequalities in product spaces, Invent. Math. 126 (3) (1996) 505-563.