Generalized bootstrap for estimators of minimizers of convex functions

Bose, A. ; Chatterjee, Snigdhansu (2003) Generalized bootstrap for estimators of minimizers of convex functions Journal of Statistical Planning and Inference, 117 (2). pp. 225-239. ISSN 0378-3758

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Official URL: http://linkinghub.elsevier.com/retrieve/pii/S03783...

Related URL: http://dx.doi.org/10.1016/S0378-3758(02)00386-5

Abstract

We introduce a generalized bootstrap technique for estimators obtained by minimizing functions that are convex in the parameter. We establish the consistency of these schemes via representation theorems. A number of classical resampling schemes, like the delete-d jackknife may be treated as special cases of this generalized bootstrap; and new ways of resampling are also introduced. Some of the schemes are computationally more efficient than classical techniques.

Item Type:Article
Source:Copyright of this article belongs to Elsevier Science.
Keywords:Bootstrap; Jackknife; Mm Estimators; U-statistics; Oja Median; L1 Median
ID Code:5463
Deposited On:18 Oct 2010 10:08
Last Modified:20 May 2011 10:55

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