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On uniform asymptotic normality of sequential least squares estimators for the parameters in a stable AR(p)

L. Galtchouk and V. Konev

Journal of Multivariate Analysis, 2004, vol. 91, issue 2, 119-142

Abstract: For a stable autoregressive process of order p with unknown vector parameter [theta], it is shown that under a sequential sampling scheme with the stopping time defined by the trace of the observed Fisher information matrix, the least-squares estimator of [theta] is asymptotically normally distributed uniformly in [theta] belonging to any compact set in the parameter region.

Keywords: Autoregressive; process; Least-squares; estimator; Sequential; estimation; Uniform; asymptotic; normality (search for similar items in EconPapers)
Date: 2004
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Citations: View citations in EconPapers (3)

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