A test for singularity
(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:
https://lup.lub.lu.se/record/1273204
- author
- Frigyesi, Attila LU and Hössjer, Ola
- organization
- publishing date
- 1998
- 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
- 2016-04-04 09:10:14
- date last changed
- 2022-01-29 08:39:05
@article{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}}, keywords = {{singularity; absolute continuity; Kernel density estimation}}, language = {{eng}}, number = {{3}}, pages = {{215--226}}, publisher = {{Elsevier}}, series = {{Statistics and Probability Letters}}, title = {{A test for singularity}}, url = {{http://dx.doi.org/10.1016/S0167-7152(98)00087-X}}, doi = {{10.1016/S0167-7152(98)00087-X}}, volume = {{40}}, year = {{1998}}, }