A Canonical Form for Unit Root Processes in the State Space Framework

Bauer, Dietmar; Wagner, Martin (July 2003). A Canonical Form for Unit Root Processes in the State Space Framework (Diskussionsschriften 03-12). Bern: Universität Bern Volkswirtschaftliches Institut

[img]
Preview
Text
dp0312.pdf - Published Version
Available under License Creative Commons: Attribution (CC-BY).

Download (395kB) | Preview

In this paper we develop a canonical state space representation for rational stochastic processes containing unit roots with integer integration orders at arbitrary points on the unit circle. It is shown that the state space framework, which is – in a certain sense made precise in the paper – equivalent to the ARMA framework, is very suitable for the analysis of unit roots and cointegration issues. The advantages become especially prominent for systems with higher integration orders at the various roots on the unit circle. A unique state space representation is constructed that clearly reveals the integration and cointegration properties. The canonical form given in the paper can be used to construct a parameterization of the class of all rational processes with a given state space unit root structure, which is defined in the paper.

Item Type:

Working Paper

Division/Institute:

03 Faculty of Business, Economics and Social Sciences > Department of Economics

UniBE Contributor:

Wagner, Martin

Subjects:

300 Social sciences, sociology & anthropology > 330 Economics

Series:

Diskussionsschriften

Publisher:

Universität Bern Volkswirtschaftliches Institut

Language:

English

Submitter:

Luca Adolf Brugger

Date Deposited:

11 Jun 2020 17:09

Last Modified:

11 Jun 2020 17:09

JEL Classification:

C13, C32

BORIS DOI:

10.7892/boris.144080

URI:

https://boris.unibe.ch/id/eprint/144080

Actions (login required)

Edit item Edit item
Provide Feedback