Skip to main content

Lund University Publications

LUND UNIVERSITY LIBRARIES

Semiparametric lag dependent functions

Lindström, Erik LU orcid (2013) In Applied Mathematical Sciences 7(12). p.551-566
Abstract
This paper introduces a suite of tests for linear and general non-

linear serial dependence. The problem is complex as the number of

variations of realistic non-linear alternatives is very large.

The alternative model is dened in terms of penalized truncated

polynomial splines, making the approximation capable of accurately

approximating a large class of linear and non-linear processes.

The asymptotic distribution for the test statistic is derived, and we

show using Monte Carlo simulations that one test is equivalent to the

Ljung-Box test, other linear tests corresponds to ordinary or partial

sample autocorrelation while the non-linear versions are capable of... (More)
This paper introduces a suite of tests for linear and general non-

linear serial dependence. The problem is complex as the number of

variations of realistic non-linear alternatives is very large.

The alternative model is dened in terms of penalized truncated

polynomial splines, making the approximation capable of accurately

approximating a large class of linear and non-linear processes.

The asymptotic distribution for the test statistic is derived, and we

show using Monte Carlo simulations that one test is equivalent to the

Ljung-Box test, other linear tests corresponds to ordinary or partial

sample autocorrelation while the non-linear versions are capable of de-

tecting non-linear eects, even when other tests fail to do so. (Less)
Please use this url to cite or link to this publication:
author
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
time series, hypothesis testing, Stationary processes
in
Applied Mathematical Sciences
volume
7
issue
12
pages
551 - 566
publisher
Hikari Ltd
external identifiers
  • scopus:84871703698
ISSN
1314-7552
language
English
LU publication?
yes
id
fb8191f0-fd07-4fe0-b467-196d687004e3 (old id 3232990)
alternative location
http://www.m-hikari.com/ams/ams-2013/ams-9-12-2013/lindstromAMS9-12-2013.pdf
date added to LUP
2016-04-01 10:31:09
date last changed
2022-01-25 23:59:56
@article{fb8191f0-fd07-4fe0-b467-196d687004e3,
  abstract     = {{This paper introduces a suite of tests for linear and general non-<br/><br>
linear serial dependence. The problem is complex as the number of<br/><br>
variations of realistic non-linear alternatives is very large.<br/><br>
The alternative model is dened in terms of penalized truncated<br/><br>
polynomial splines, making the approximation capable of accurately<br/><br>
approximating a large class of linear and non-linear processes.<br/><br>
The asymptotic distribution for the test statistic is derived, and we<br/><br>
show using Monte Carlo simulations that one test is equivalent to the<br/><br>
Ljung-Box test, other linear tests corresponds to ordinary or partial<br/><br>
sample autocorrelation while the non-linear versions are capable of de-<br/><br>
tecting non-linear eects, even when other tests fail to do so.}},
  author       = {{Lindström, Erik}},
  issn         = {{1314-7552}},
  keywords     = {{time series; hypothesis testing; Stationary processes}},
  language     = {{eng}},
  number       = {{12}},
  pages        = {{551--566}},
  publisher    = {{Hikari Ltd}},
  series       = {{Applied Mathematical Sciences}},
  title        = {{Semiparametric lag dependent functions}},
  url          = {{http://www.m-hikari.com/ams/ams-2013/ams-9-12-2013/lindstromAMS9-12-2013.pdf}},
  volume       = {{7}},
  year         = {{2013}},
}