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Journal ArticleDOI

The Great Crash, the Oil Price Shock, and the Unit Root Hypothesis

Pierre Perron
- 01 Nov 1989 - 
- Vol. 57, Iss: 6, pp 1361-1401
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TLDR
In this paper, the authors consider the null hypothesis that a time series has a unit root with possibly nonzero drift against the alternative that the process is "trend-stationary" and show how standard tests of the unit root hypothesis against trend stationary alternatives cannot reject the unit-root hypothesis if the true data generating mechanism is that of stationary fluctuations around a trend function which contains a one-time break.
Abstract
We consider the null hypothesis that a time series has a unit root with possibly nonzero drift against the alternative that the process is «trend-stationary». The interest is that we allow under both the null and alternative hypotheses for the presence for a one-time change in the level or in the slope of the trend function. We show how standard tests of the unit root hypothesis against trend stationary alternatives cannot reject the unit root hypothesis if the true data generating mechanism is that of stationary fluctuations around a trend function which contains a one-time break

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Threshold cointegration: overview and implementation in R

TL;DR: In this paper, the authors provide a rough overview of the field of threshold cointegration, from the seminal paper of Balke and Fomby (1997) to the recent developments.
Journal ArticleDOI

Examining structural breaks and growth rates in international health expenditures

TL;DR: Health expenditures share a common break in both bivariate and trivariate cases, and structural breaks and break intervals suggest that either one or a combination of events have contributed to the commonality of break in health expenditures in the G3 and European countries.
Journal ArticleDOI

Regional House Prices and the Ripple Effect in Malaysia

TL;DR: This article applied univariate and panel Lagrange multiplier unit root tests with one and two structural breaks to the ratio of the regional to national house price to examine the ripple effect for five different housing price indices (aggregate housing, detached housing, semi-detached housing, terrace housing and high-rise housing) across 14 regional locations in Malaysia.
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Foreign direct investment, financial development, and economic growth: the case of Malaysia

TL;DR: In this article, an analysis of the interaction between foreign direct investment (FDI) and financial development in promoting Malaysia's economic growth using a co-integration framework is presented.
Journal ArticleDOI

The Brazilian business and growth cycles

TL;DR: In this paper, a Markov switching model is fitted to quarterly and annual real production data to define different phases of cyclical fluctuations of real Brazilian production and reveal asymmetries across the different states of the Brazilian business and growth cycles.
References
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Journal ArticleDOI

Co-integration and Error Correction: Representation, Estimation and Testing

TL;DR: The relationship between co-integration and error correction models, first suggested in Granger (1981), is here extended and used to develop estimation procedures, tests, and empirical examples.
Journal ArticleDOI

Distribution of the Estimators for Autoregressive Time Series with a Unit Root

TL;DR: In this article, the limit distributions of the estimator of p and of the regression t test are derived under the assumption that p = ± 1, where p is a fixed constant and t is a sequence of independent normal random variables.
Journal ArticleDOI

Testing for a Unit Root in Time Series Regression

TL;DR: In this article, the authors proposed new tests for detecting the presence of a unit root in quite general time series models, which accommodate models with a fitted drift and a time trend so that they may be used to discriminate between unit root nonstationarity and stationarity about a deterministic trend.
Book

Convergence of Probability Measures

TL;DR: Weak Convergence in Metric Spaces as discussed by the authors is one of the most common modes of convergence in metric spaces, and it can be seen as a form of weak convergence in metric space.
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