Estimating the derivative of a convex density
(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:
https://lup.lub.lu.se/record/308347
- author
- Anevski, Dragi LU
- organization
- publishing date
- 2003
- 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 Inc.
- 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
- 2016-04-01 15:34:16
- date last changed
- 2022-01-28 06:00:02
@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}}, keywords = {{bird watching; NPMLE; nonparametric maximum likelihood; convex; density estimation; optimal rate; minimax risk}}, language = {{eng}}, number = {{2}}, pages = {{245--257}}, publisher = {{John Wiley & Sons Inc.}}, series = {{Statistica Neerlandica}}, title = {{Estimating the derivative of a convex density}}, url = {{http://dx.doi.org/10.1111/1467-9574.00229}}, doi = {{10.1111/1467-9574.00229}}, volume = {{57}}, year = {{2003}}, }