𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Minimax lower bounds and moduli of continuity

✍ Scribed by Geurt Jongbloed


Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
87 KB
Volume
50
Category
Article
ISSN
0167-7152

No coin nor oath required. For personal study only.

✦ Synopsis


The asymptotic behaviour of the minimax risk can be used as a measure of how 'hard' an estimation problem is. We relate the asymptotic behaviour of this quantity to an appropriate modulus of continuity, using elementary ideas and techniques only.


πŸ“œ SIMILAR VOLUMES


Minimax estimation of a lower-bounded sc
✍ Constance van Eeden πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 71 KB

In their paper on group-Bayes estimation of the exponential mean, van Eeden and Zidek (1994, Test 3, 125 -143) consider, among many other things, the minimax estimation of a lower-bounded scale parameter of an F distribution. They leave open the question of whether the estimator which is unique mini

Some Lower Bounds for the Complexity of
✍ Jean-Pierre Dedieu; Steve Smale πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 222 KB

In this note we consider the zero-finding problem for a homogeneous polynomial system, The well-determined (m=n) and underdetermined (m<n) cases are considered together. We also let D=max d i , d=(d 1 , ..., d m ), and The projective Newton method has been introduced by Shub in [6] and is defined

Obtaining upper bounds of heat kernels f
✍ Alexander Grigorβ€²yan; Jiaxin Hu; Ka-Sing Lau πŸ“‚ Article πŸ“… 2008 πŸ› John Wiley and Sons 🌐 English βš– 188 KB

## Abstract We show that a __near‐diagonal lower__ bound of the heat kernel of a Dirichlet form on a metric measure space with a regular measure implies an __on‐diagonal__ upper bound. If in addition the Dirichlet form is local and regular, then we obtain a __full off‐diagonal upper__ bound of the

Upper and lower matrix bounds of the sol
✍ Chien-Hua Lee; Fan-Chu Kung πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 291 KB

This paper proposes new two-sided matrix bounds of the solution for the continuous and discrete algebraic matrix Lyapunov equations. The coefficient matrix of the Lyapunov equation is assumed to be diayonalizable. The present matrix bounds can give a supplement to those results reported in the liter