Generalised bootstrap in non-regular M-estimation problems
For estimators of parameters defined as minimisers of Q([theta])=Ef([theta],X), we study the asymptotic and generalised bootstrap properties. We concentrate on the case where Q does not have adequate smoothness for standard analysis to work. We describe the properties required by Q as well as bootstrap weights for consistency of the bootstrap.
Year of publication: |
2001
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Authors: | Bose, Arup ; Chatterjee, Snigdhansu |
Published in: |
Statistics & Probability Letters. - Elsevier, ISSN 0167-7152. - Vol. 55.2001, 3, p. 319-328
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Publisher: |
Elsevier |
Keywords: | Nonregular M estimates Convex function Bootstrap Jackknife Asymptotic distribution |
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