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Tests for Parameter Instability and Structural Change with Unknown Change Point.

Donald W.K. Andrews
- 01 Jul 1993 - 
- Vol. 61, Iss: 4, pp 821-856
TLDR
In this article, the authors considered tests for parameter instability and structural change with unknown change point, and the results apply to a wide class of parametric models that are suitable for estimation by generalized method of moments procedures.
Abstract
This paper considers tests for parameter instability and structural change with unknown change point. The results apply to a wide class of parametric models that are suitable for estimation by generalized method of moments procedures. The asymptotic distributions of the test statistics considered here are nonstandard because the change point parameter only appears under the alternative hypothesis and not under the null. The tests considered here are shown to have nontrivial asymptotic local power against all alternatives for which the parameters are nonconstant. The tests are found to perform quite well in a Monte Carlo experiment reported elsewhere. Copyright 1993 by The Econometric Society.

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Journal ArticleDOI

Further Evidence on the Great Crash, the Oil-Price Shock, and the Unit-Root Hypothesis

TL;DR: In this paper, a variation of Perron's test is considered in which the breakpoint is estimated rather than fixed, and the asymptotic distribution of the estimated breakpoint test statistic is determined.
Journal ArticleDOI

Convergence of Probability Measures

TL;DR: Convergence of Probability Measures as mentioned in this paper is a well-known convergence of probability measures. But it does not consider the relationship between probability measures and the probability distribution of probabilities.
Journal ArticleDOI

Computation and analysis of multiple structural change models

TL;DR: In this paper, the problem of estimating the break dates and the number of breaks in a linear model with multiple structural changes has been considered and an efficient algorithm based on the principle of dynamic programming has been proposed.
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Computation and Analysis of Multiple Structural-Change Models

TL;DR: In this paper, the problem of estimating the number of break dates in a linear model with multiple structural changes has been studied and an efficient algorithm to obtain global minimizers of the sum of squared residuals has been proposed.
Journal ArticleDOI

Optimal Tests When a Nuisance Parameter is Present Only under the Alternative

TL;DR: In this paper, the authors derived asymptotically optimal tests for testing problems in which a nuisance parameter exists under the alternative hypothesis but not under the null, using a weighted average power criterion.
References
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ReportDOI

A simple, positive semi-definite, heteroskedasticity and autocorrelation consistent covariance matrix

Whitney K. Newey, +1 more
- 01 May 1987 - 
TL;DR: In this article, a simple method of calculating a heteroskedasticity and autocorrelation consistent covariance matrix that is positive semi-definite by construction is described.
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.
Journal ArticleDOI

Further Evidence on the Great Crash, the Oil-Price Shock, and the Unit-Root Hypothesis

TL;DR: In this paper, a variation of Perron's test is considered in which the breakpoint is estimated rather than fixed, and the asymptotic distribution of the estimated breakpoint test statistic is determined.
Book

Probability theory

Michel Loève
TL;DR: These notes cover the basic definitions of discrete probability theory, and then present some results including Bayes' rule, inclusion-exclusion formula, Chebyshev's inequality, and the weak law of large numbers.
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