Paper #959

Title:

Minimum distance estimation of stationary and non-stationary ARFIMA processes

Author:

Laura Mayoral

Date:

January 2006

Abstract:

A new parametric minimum distance time-domain estimator for ARFIMA processes is introduced in this paper. The proposed estimator minimizes the sum of squared correlations of residuals obtained after filtering a series through ARFIMA parameters. The estimator is easy to compute and is consistent and asymptotically normally distributed for fractionally integrated (FI) processes with an integration order d strictly greater than -0.75. Therefore, it can be applied to both stationary and non-stationary processes. Deterministic components are also allowed in the DGP. Furthermore, as a by-product, the estimation procedure provides an immediate check on the adequacy of the specified model. This is so because the criterion function, when evaluated at the estimated values, coincides with the Box-Pierce goodness of fit statistic. Empirical applications and Monte-Carlo simulations supporting the analytical results and showing the good performance of the estimator in finite samples are also provided.

Keywords:

Fractional integration, nonstationary long-memory time series, minimum distance estimation

JEL codes:

C13, C22

Area of Research:

Operations Management

Published in:

Econometrics Journal, vol. 10, Issue 1, pg. 124-148, February 2007

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