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Adaptive ARFIMA models with applications to inflation
Economic Modelling, 2012Abstract Many previous analyses of inflation have used either long memory or nonlinear time series models. This paper suggests a simple adaptive modification of the basic ARFIMA model, which uses a flexible Fourier form to allow for a time varying intercept.
Morana, C, Baillie, RT
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An Evaluation of ARFIMA Programs
Volume 9: 13th ASME/IEEE International Conference on Mechatronic and Embedded Systems and Applications, 2017Strong coupling between values at different time that exhibit properties of long range dependence, non-stationary, spiky signals cannot be processed by the conventional time series analysis. The ARFIMA model, which employs the fractional order signal processing techniques, is the generalization of the conventional integer order models — ARIMA and ARMA ...
Kai Liu, Xi Zhang, YangQuan Chen
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BAYESIAN ANALYSIS OF VECTOR ARFIMA PROCESSES
Australian Journal of Statistics, 1997Summary A general framework is presented for Bayesian inference of multivariate time series exhibiting long‐range dependence. The series are modelled using a vector autoregressive fractionally integrated moving‐average (VARFIMA) process, which can capture both short‐term correlation structure and long‐range dependence characteristics ...
Ravishanker, Nalini, Ray, Bonnie K.
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On the estimation and diagnostic checking of the ARFIMA–HYGARCH model
Computational Statistics & Data Analysis, 2012zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Wilson Kwan, Wai Keung Li, Guodong Li
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Another look at the forecast performance of ARFIMA models
This paper investigates the out-of-sample forecast performance of the autoregressive fractionally integrated moving average [ARFIMA (0,d,0)] specification, both when the underlying value of the fractional differencing parameter (d) is known a priori and ...
Craig Ellis
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Invariance of the first difference in ARFIMA models
Computational Statistics, 2006The main goal of the paper is to analyze which estimation method for the fractional parameter is invariant to first-differencing when the model is described by an ARFIMA(p,d,q) process. The authors consider the performance of four estimation methods, belonging to parametric and semiparametric classes, for non-stationary ARFIMA models with main interest
Barbara P. Olbermann +2 more
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Bayesian model selection in ARFIMA models
Expert Systems with Applications, 2010Various model selection criteria such as Akaike information criterion (AIC; Akaike, 1973), Bayesian information criterion (BIC; Akaike, 1979) and Hannan-Quinn criterion (HQC; Hannan, 1980) are used for model specification in autoregressive fractional integrated moving average (ARFIMA) models. Classical model selection criteria require to calculate both
Erol Egrioglu, Süleyman Günay
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Regularised Estimators for ARFIMA Processes
IFAC Proceedings Volumes, 2012Abstract Stochastic processes with long-range dependence are found in many applications. ARFIMA models can be used to characterise both their short-term correlations and the phenomenon of long-range dependence. Maximum likelihood estimates of the model parameters have nice statistical properties but are ill-conditioned and hard to compute.
Oskar Vivero, William P. Heath
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In this paper, we examine the finite-sample properties of the approximate maximum likelihood estimate (MLE) of the fractional differencing parameter d in an ARFIMA(p, d, q) model based on the wavelet coefficients.
Y K Tse, V V Anh
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Analysing inflation by the fractionally integrated ARFIMA-GARCH model
Journal of Applied Econometrics, 1996This paper considers the application of long-memory processes to describing inflation for 10 countries. We implement a new procedure to obtain approximate maximum likelihood estimates of an ARFIMA-GARCH process; which is fractionally integrated I(d) with a superimposed stationary ARMA component in its conditional mean.
Baillie, Richard T +2 more
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