Linear approximations to some non-linear AR(1) processes

Jiří Anděl

Kybernetika (2000)

  • Volume: 36, Issue: 4, page [389]-399
  • ISSN: 0023-5954

Abstract

top
Some methods for approximating non-linear AR(1) processes by classical linear AR(1) models are proposed. The quality of approximation is studied in special non-linear AR(1) models by means of comparisons of quality of extrapolation and interpolation in the original models and in their approximations. It is assumed that the white noise has either rectangular or exponential distribution.

How to cite

top

Anděl, Jiří. "Linear approximations to some non-linear AR(1) processes." Kybernetika 36.4 (2000): [389]-399. <http://eudml.org/doc/33491>.

@article{Anděl2000,
abstract = {Some methods for approximating non-linear AR(1) processes by classical linear AR(1) models are proposed. The quality of approximation is studied in special non-linear AR(1) models by means of comparisons of quality of extrapolation and interpolation in the original models and in their approximations. It is assumed that the white noise has either rectangular or exponential distribution.},
author = {Anděl, Jiří},
journal = {Kybernetika},
language = {eng},
number = {4},
pages = {[389]-399},
publisher = {Institute of Information Theory and Automation AS CR},
title = {Linear approximations to some non-linear AR(1) processes},
url = {http://eudml.org/doc/33491},
volume = {36},
year = {2000},
}

TY - JOUR
AU - Anděl, Jiří
TI - Linear approximations to some non-linear AR(1) processes
JO - Kybernetika
PY - 2000
PB - Institute of Information Theory and Automation AS CR
VL - 36
IS - 4
SP - [389]
EP - 399
AB - Some methods for approximating non-linear AR(1) processes by classical linear AR(1) models are proposed. The quality of approximation is studied in special non-linear AR(1) models by means of comparisons of quality of extrapolation and interpolation in the original models and in their approximations. It is assumed that the white noise has either rectangular or exponential distribution.
LA - eng
UR - http://eudml.org/doc/33491
ER -

References

top
  1. Anděl J., 10.1080/03610929708831935, Comm. Statist. – Theory Methods 26 (1997), 581–587 (1997) MR1436289DOI10.1080/03610929708831935
  2. Anděl J., Dupač V., Extrapolations in non-linear autoregressive processes, Kybernetika 35 (1999), 383–389 (1999) MR1704673
  3. Pemberton J., Piecewise Constant Models for Univariate Time Series, Technical Report MCS-90-04, Department of Mathematics, University of Salford, Salford 1990 
  4. Pemberton J., Measuring nonlinearity in time series, In: Developments in Time Series Analysis (T. Subba Rao, ed.), Chapman and Hall, London 1993, pp. 230–240 (1993) Zbl0880.62091MR1292253
  5. Tong H., Non-linear Time Series, Clarendon Press, Oxford 1990 Zbl0835.62076
  6. Young P., Time variable and state dependent modelling of non-stationary and nonlinear time series, In: Developments in Time Series Analysis (T. Subba Rao, ed.), Chapman and Hall, London 1993, pp. 374–413 (1993) Zbl0880.62100

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.