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A test for singularity

Frigyesi, Attila LU and Hössjer, Ola (1998) In Statistics and Probability Letters 40(3). p.215-226
Abstract
he LP-norm and other functionals of the kernel estimate of density functions las functions of the bandwidth) are studied as means to test singularity. Given an absolutely continuous distribution function, the LP-norm, and the other studied functionals, will converge under some mild side-constraints as the bandwidth decreases. In the singular case, the functionals will diverge. These properties may be used tc, test whether data comes from an arbitrarily large class of absolutely continuous distributions or not.
Please use this url to cite or link to this publication:
author
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
singularity, absolute continuity, Kernel density estimation
in
Statistics and Probability Letters
volume
40
issue
3
pages
215 - 226
publisher
Elsevier
external identifiers
  • Scopus:0032531518
ISSN
0167-7152
DOI
10.1016/S0167-7152(98)00087-X
language
English
LU publication?
yes
id
eebb9baa-fa68-47a8-bc1d-eac841ccd285 (old id 1273204)
alternative location
http://www.sciencedirect.com/science?_ob=MImg&_imagekey=B6V1D-3VCTGR0-2-2&_cdi=5672&_user=745831&_orig=search&_coverDate=10%2F15%2F1998&_sk=999599996&view=c&wchp=dGLzVtz-zSkWb&md5=af7c4d319d569681217b177d264c242b&ie=/sdarticle.pdf
date added to LUP
2008-12-09 13:33:41
date last changed
2016-10-13 04:25:17
@misc{eebb9baa-fa68-47a8-bc1d-eac841ccd285,
  abstract     = {he LP-norm and other functionals of the kernel estimate of density functions las functions of the bandwidth) are studied as means to test singularity. Given an absolutely continuous distribution function, the LP-norm, and the other studied functionals, will converge under some mild side-constraints as the bandwidth decreases. In the singular case, the functionals will diverge. These properties may be used tc, test whether data comes from an arbitrarily large class of absolutely continuous distributions or not.},
  author       = {Frigyesi, Attila and Hössjer, Ola},
  issn         = {0167-7152},
  keyword      = {singularity,absolute continuity,Kernel density estimation},
  language     = {eng},
  number       = {3},
  pages        = {215--226},
  publisher    = {ARRAY(0xb8fc370)},
  series       = {Statistics and Probability Letters},
  title        = {A test for singularity},
  url          = {http://dx.doi.org/10.1016/S0167-7152(98)00087-X},
  volume       = {40},
  year         = {1998},
}