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
Minimax lower bounds and moduli of continuity
β 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.
β¦ 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.
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