A specification strategy for order determination in arma models

In this paper a specification strategy is proposed for the determination of the orders in ARMA models. The strategy is based on two newly defined concepts: the q-conditioned partial auto-regressive function and the p-conditioned partial moving average function. These concepts are similar to the gene...

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Veröffentlicht in:Communications in statistics. Simulation and computation 1988-01, Vol.17 (3), p.1037-1054
Hauptverfasser: de Gooijer, Jan G., Saikkonen, Pentti
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Saikkonen, Pentti
description In this paper a specification strategy is proposed for the determination of the orders in ARMA models. The strategy is based on two newly defined concepts: the q-conditioned partial auto-regressive function and the p-conditioned partial moving average function. These concepts are similar to the generalized partial autocorrelation function which has been recently suggested for order determination. The main difference is that they are defined and employed in connection with an asymptotically efficient estimation method instead of the rather inefficient generalized Yule-Walker method. The specification is performed by using sequential Wald type tests. In contrast to the traditional testing of hypotheses, these tests use critical values which increase with the sample size at an appropriate rate
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1532-4141
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subjects AIC
ARMA model
C(α) tests
consistency
Exact sciences and technology
Inference from stochastic processes
time series analysis
Mathematics
Probability and statistics
SBIC
Sciences and techniques of general use
specification strategy
Statistics
testing
time series
title A specification strategy for order determination in arma models
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