Robust estimation of the seasonal autocorrelation of the par(1) model
Joint Authors
al-Smadi, Abd Allah A.
Abu Afouna, Nur
al-Quran, Areen
Source
Jordan Journal of Mathematics and Statistics
Issue
Vol. 2, Issue 2 (31 Dec. 2009), pp.105-118, 14 p.
Publisher
Yarmouk University Deanship of Research and Graduate Studies
Publication Date
2009-12-31
Country of Publication
Jordan
No. of Pages
14
Main Subjects
Topics
Abstract EN
In this article we are interested in the robust estimation of seasonal autocorrelation for the periodic autoregressive model of order one (PAR (1)).
We used three estimators for the first–lag seasonal autocorrelation including the classical moment estimator beside two new proposed robust estimators.
The effect of a single additive outlier contaminated in the time series is examined via bias and MSE.
We have also studied the effects of some other factors on the quality of those estimators.
The investigation is carried out using Monte–Carlo simulation.
The results show that our proposed estimators are robust whereas the moment estimator is not.
This conclusion is also assured via the bias and MSE of those estimators.
American Psychological Association (APA)
al-Smadi, Abd Allah A.& Abu Afouna, Nur& al-Quran, Areen. 2009. Robust estimation of the seasonal autocorrelation of the par(1) model. Jordan Journal of Mathematics and Statistics،Vol. 2, no. 2, pp.105-118.
https://search.emarefa.net/detail/BIM-272701
Modern Language Association (MLA)
al-Smadi, Abd Allah A.…[et al.]. Robust estimation of the seasonal autocorrelation of the par(1) model. Jordan Journal of Mathematics and Statistics Vol. 2, no. 2 (Dec. 2009), pp.105-118.
https://search.emarefa.net/detail/BIM-272701
American Medical Association (AMA)
al-Smadi, Abd Allah A.& Abu Afouna, Nur& al-Quran, Areen. Robust estimation of the seasonal autocorrelation of the par(1) model. Jordan Journal of Mathematics and Statistics. 2009. Vol. 2, no. 2, pp.105-118.
https://search.emarefa.net/detail/BIM-272701
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references : p. 117-118
Record ID
BIM-272701