Artikel

Stationary threshold vector autoregressive models

This paper examines the steady state properties of the Threshold Vector Autoregressive model. Assuming that the trigger variable is exogenous and the regime process follows a Bernoulli distribution, necessary and sufficient conditions for the existence of stationary distribution are derived. A situation related to so-called 'locally explosive models', where the stationary distribution exists though the model is explosive in one regime, is analysed. Simulations show that locally explosive models can generate some of the key properties of financial and economic data. They also show that assessing the stationarity of threshold models based on simulations might well lead to wrong conclusions.

Language
Englisch

Bibliographic citation
Journal: Journal of Risk and Financial Management ; ISSN: 1911-8074 ; Volume: 11 ; Year: 2018 ; Issue: 3 ; Pages: 1-23 ; Basel: MDPI

Classification
Wirtschaft
Subject
asset price bubbles
explosive regimes
multivariate nonlinear time series
steady state distributions
TVAR models

Event
Geistige Schöpfung
(who)
Grynkiv, Galyna
Stentoft, Lars
Event
Veröffentlichung
(who)
MDPI
(where)
Basel
(when)
2018

DOI
doi:10.3390/jrfm11030045
Handle
Last update
10.03.2025, 11:42 AM CET

Data provider

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Object type

  • Artikel

Associated

  • Grynkiv, Galyna
  • Stentoft, Lars
  • MDPI

Time of origin

  • 2018

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