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Interarrival times in a counting process and bird watching

Anevski, Dragi LU (2007) In Statistica Neerlandica 61(2). p.198-208
Abstract
We determine simple approximate relations between the distributions of the interarrival times and the total time of a stopped counting pro- cess, under the assumption of small intensities. These relations sug- gest applying recent results for nonparametric estimation of monotone and convex densities. The results are applied to estimating the distri- bution of the period of stay of migrating birds.
Please use this url to cite or link to this publication:
author
publishing date
type
Contribution to journal
publication status
published
subject
keywords
NPMLE, Acrocephalus scirpaceus., recapture data, convex density, monotone density, density estimation
in
Statistica Neerlandica
volume
61
issue
2
pages
198 - 208
publisher
John Wiley & Sons Inc.
external identifiers
  • scopus:34247632602
ISSN
0039-0402
language
English
LU publication?
no
id
41ae39d1-e55b-4cec-97f7-b0b12327156e (old id 1494764)
alternative location
http://www3.interscience.wiley.com/cgi-bin/fulltext/118480964/PDFSTART?CRETRY=1&SRETRY=0
date added to LUP
2016-04-01 16:33:04
date last changed
2022-03-22 19:31:29
@article{41ae39d1-e55b-4cec-97f7-b0b12327156e,
  abstract     = {{We determine simple approximate relations between the distributions of the interarrival times and the total time of a stopped counting pro- cess, under the assumption of small intensities. These relations sug- gest applying recent results for nonparametric estimation of monotone and convex densities. The results are applied to estimating the distri- bution of the period of stay of migrating birds.}},
  author       = {{Anevski, Dragi}},
  issn         = {{0039-0402}},
  keywords     = {{NPMLE; Acrocephalus scirpaceus.; recapture data; convex density; monotone density; density estimation}},
  language     = {{eng}},
  number       = {{2}},
  pages        = {{198--208}},
  publisher    = {{John Wiley & Sons Inc.}},
  series       = {{Statistica Neerlandica}},
  title        = {{Interarrival times in a counting process and bird watching}},
  url          = {{http://www3.interscience.wiley.com/cgi-bin/fulltext/118480964/PDFSTART?CRETRY=1&SRETRY=0}},
  volume       = {{61}},
  year         = {{2007}},
}