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On convex least squares estimation when the truth is linear

We prove that the convex least squares estimator (LSE) attains a n(−1/2) pointwise rate of convergence in any region where the truth is linear. In addition, the asymptotic distribution can be characterized by a modified invelope process. Analogous results hold when one uses the derivative of the con...

Täydet tiedot

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Bibliografiset tiedot
Julkaisussa:Electron J Stat
Päätekijät: Chen, Yining, Wellner, Jon A.
Aineistotyyppi: Artigo
Kieli:Inglês
Julkaistu: 2016
Aiheet:
Linkit:https://ncbi.nlm.nih.gov/pmc/articles/PMC5426281/
https://ncbi.nlm.nih.gov/pubmed/28503251
https://ncbi.nlm.nih.govhttp://dx.doi.org/10.1214/15-EJS1098
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