Estimating monotone functions

Statistics and Probability Letters

Volumn 56, Issue 4, 2002, Pages 361-367

  Low, Mark G ^a   Kang, Yung Gyung ^b  

^a UNIVERSITY OF PENNSYLVANIA   (United States)

^b Hanshin University   (South Korea)

Author keywords

Adaptive estimate; Minimax risk; White noise model

Indexed keywords

EID: 0037082608     PISSN: 01677152     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0167-7152(01)00179-1     Document Type: Article

References (9)

1. A constrained risk inequality with applications to nonparametric functional estimation
2. Statistical estimation and optimal recovery
3. Geometrizing rates of convergence, III
4. On nonparametric estimation of the value of a linear functional in Gaussian White Noise
5. Optimum rates for non-parametric density and regression estimates, under order restrictions
6. On a problem of adaptive estimation in Gaussian white noise
7. Optimal pointwise adaptive methods in nonparametric estimation
8. Bias-variance tradeoffs in functional estimation problems
9. Pointwise and sup-norm sharp adaptive estimation of function on the Sobolev classes