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Estimating the derivative of a convex density

Anevski, Dragi LU (2003) In Statistica Neerlandica 57(2). p.245-257
Abstract
We obtain a relation between the time between two bird-catchings and the total resting period of a bird, leading to the problem of estimating the derivative of a convex density. We state a fundamental result on the nonparametric maximum likelihood estimator of a convex density. Further, we derive the optimal rate in the minimax risk sense for estimating the derivative of a convex density.
Please use this url to cite or link to this publication:
author
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
bird watching, NPMLE, nonparametric maximum likelihood, convex, density estimation, optimal rate, minimax risk
in
Statistica Neerlandica
volume
57
issue
2
pages
245 - 257
publisher
John Wiley & Sons
external identifiers
  • wos:000183662700004
  • scopus:0037901950
ISSN
0039-0402
DOI
10.1111/1467-9574.00229
language
English
LU publication?
yes
id
333a7e56-aaa8-474a-b22f-844aca498aef (old id 308347)
date added to LUP
2007-08-22 12:43:24
date last changed
2018-05-29 11:31:48
@article{333a7e56-aaa8-474a-b22f-844aca498aef,
  abstract     = {We obtain a relation between the time between two bird-catchings and the total resting period of a bird, leading to the problem of estimating the derivative of a convex density. We state a fundamental result on the nonparametric maximum likelihood estimator of a convex density. Further, we derive the optimal rate in the minimax risk sense for estimating the derivative of a convex density.},
  author       = {Anevski, Dragi},
  issn         = {0039-0402},
  keyword      = {bird watching,NPMLE,nonparametric maximum likelihood,convex,density estimation,optimal rate,minimax risk},
  language     = {eng},
  number       = {2},
  pages        = {245--257},
  publisher    = {John Wiley & Sons},
  series       = {Statistica Neerlandica},
  title        = {Estimating the derivative of a convex density},
  url          = {http://dx.doi.org/10.1111/1467-9574.00229},
  volume       = {57},
  year         = {2003},
}