Approximation dans les espaces métriques et théorie de l'estimation

Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete

Volumn 65, Issue 2, 1983, Pages 181-237

  Birgé, Lucien ^a  

^a UNIVERSITÉ PARIS OUEST NANTERRE LA DÉFENSE   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 34250136988     PISSN: 00443719     EISSN: 14322064     Source Type: Journal    
DOI: 10.1007/BF00532480     Document Type: Article

References (33)

1. Examples of inconsistency of maximum likelihood estimates
2. Vitesses optimales de convergence des estimateurs
3. Robust testing for independent non-identically distributed variables and Markov chains
4. Estimation des densités: risque minimax
5. Asymptotic evaluation of certain Markov process expectations for large time, I
6. On the best obtainable asymptotic rates of convergence in estimation of a density function at a point
7. Asymptotic lower bounds for the risk of estimators of the value of a spectral density function
8. A robust version of the probability ratio test
9. On estimate of the density function
10. On the non-parametric density estimates
11. A lower bound on the risks of non-parametric estimates of densities in the uniform metric
12. ε-entropy and ε-capacity of sets in function spaces
13. Some conditions for consistency and uniform consistency of statistical procedures
14. Convergence of estimates under dimensionality restrictions
15. On local and global properties in the theory of asymptotic normality of experiments
16. Metric entropy and approximation
17. Some inequalities relating to the partial sum of binomial probabilities
18. Optimal filtration of square-integrable signals in gaussian noise
19. Convergence of estimates: parts I and II
20. Optimal convergence properties of variable knot, kernel and orthogonal series methods for density estimation