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The density of the sufficient statistics for a Gaussian AR(1) model in terms of generalized functions
Journal article

The density of the sufficient statistics for a Gaussian AR(1) model in terms of generalized functions

G Forchini
Vol.50(3), pp.237-243
11/2000

Abstract

Gaussian AR(1) model Generalized functions
This paper derives the exact joint distribution of the minimal sufficient statistics in the first-order AR(1) model with Gaussian errors and zero start-up value. The results are fundamental to an exact distribution theory for the statistics that are typically of interest in this model.

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