Journal article
Statistical expansions and locally uniform Fréchet differentiability
Journal of the Australian Mathematical Society (Series A), Vol.50(01), pp.88-97
1991
Abstract
Estimators which have locally uniform expansions are shown in this paper to be asymptotically equivalent to M-estimators. The M-functionals corresponding to these M-estimators are seen to be locally uniformly Fréchet differentiable. Other conditions for M-functionals to be locally uniformly Fréchet differentiable are given. An example of a commonly used estimator which is robust against outliers is given to illustrate that the locally uniform expansion need not be valid.
Details
- Title
- Statistical expansions and locally uniform Fréchet differentiability
- Authors/Creators
- T. Bednarski (Author/Creator)B.R. Clarke (Author/Creator)W. Kolkiewicz (Author/Creator)
- Publication Details
- Journal of the Australian Mathematical Society (Series A), Vol.50(01), pp.88-97
- Publisher
- Cambridge University Press
- Identifiers
- 991005540792307891
- Copyright
- © 1991 Australian Mathematical Society
- Murdoch Affiliation
- School of Chemical and Mathematical Science
- Language
- English
- Resource Type
- Journal article
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- Collaboration types
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- Citation topics
- 9 Mathematics
- 9.92 Statistical Methods
- 9.92.220 Robust Estimation
- Web Of Science research areas
- Mathematics
- Statistics & Probability
- ESI research areas
- Mathematics