Biases of Correlograms and of AR Representations of Stationary Series
We derive the relation between the biases of correlograms and of estimates of auto-regressive AR(k) representations of stationary series, and we illustrate it with a simple AR example. The new relation allows for k to vary with the sample size, which is a representation that can be used for most stationary processes. As a result, the biases of the estimators of such processes can now be quantified explicitly and in a unified way.
Year of publication: |
2012-06
|
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Authors: | Abadir, Karim M. ; Larsson, Rolf |
Institutions: | Rimini Centre for Economic Analysis (RCEA) |
Subject: | Auto-correlation function (ACF) and correlogram | autoregressive (AR) representation | least-squares bias |
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