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Chapter 46 Unit roots, structural breaks and trends

Data up to Jan 2025

Published1994
Citations201
References301

Total Citations Per Year

Abstract

References (301)

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

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Trends and random walks in macroeconomic time series

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Stochastic Trends and Economic Fluctuations

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Pitfalls and Opportunities: What Macroeconomists Should Know about Unit Roots

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How Big Is the Random Walk in GNP?

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Testing for a Unit Root in a Time Series With a Changing Mean

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Tests for Parameter Instability in Regressions with 1(1) Processes

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Asymptotics for Linear Processes

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Large-Sample Properties of Parameter Estimates for Strongly Dependent Stationary Gaussian Time Series

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Estimating Long-Run Economic Equilibria

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Univariate detrending methods with stochastic trends

1986 • 873 citations

Testing for the Constancy of Parameters over Time

1989 • 827 citations

LM TESTS FOR A UNIT ROOT IN THE PRESENCE OF DETERMINISTIC TRENDS*

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Efficient Parameter Estimation for Self-Similar Processes

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Variable Trends in Economic Time Series

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Time Series: Data Analysis and Theory.

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On the Theory of Testing for Unit Roots in Observed Time Series

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A Bayesian Analysis for Change Point Problems

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The Cusum Test with Ols Residuals

1992 • 593 citations

Long memory and persistence in aggregate output

1989 • 564 citations

Trends and Cycles in Macroeconomic Time Series

1985 • 561 citations

Testing for Unit Roots in Seasonal Time Series

1984 • 556 citations

Interpreting the evidence on money-income causality

1989 • 552 citations

Tests for Parameter Instability in Regressions with I(1) Processes

1992 • 534 citations

Bayesian skepticism on unit root econometrics

1988 • 528 citations

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2002 • 526 citations

Integration Versus Trend Stationary in Time Series

1992 • 521 citations

Estimating the Current Mean of a Normal Distribution which is Subjected to Changes in Time

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Exactly Median-Unbiased Estimation of First Order Autoregressive/Unit Root Models

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1987 • 489 citations

Hypothesis testing when a nuisance parameter is present only under the alternative

1977 • 484 citations

Tests for Unit Roots: A Monte Carlo Investigation

1989 • 478 citations

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The Limiting Distribution of the Serial Correlation Coefficient in the Explosive Case

1958 • 458 citations

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A Maximum Likelihood Procedure for Regression with Autocorrelated Errors

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Understanding Unit Rooters: A Helicopter Tour

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Confidence intervals for the largest autoregressive root in U.S. macroeconomic time series

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Real Exchange Rates under the Gold Standard

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The power problems of unit root test in time series with autoregressive errors

1992 • 409 citations

Testing For Unit Roots: 1

1981 • 406 citations

Seasonal unit roots in aggregate U.S. data

1993 • 403 citations

Recursive and Sequential Tests of the Unit-Root and Trend-Break Hypotheses: Theory and International Evidence

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1954 • 345 citations

Segmented Trends and Non-Stationary Time Series

1989 • 345 citations

On Unit Roots and the Empirical Modeling of Exchange Rates

1982 • 344 citations

Asymptotic Normality, When Regressors Have a Unit Root

1988 • 342 citations

Testing for Unit Roots in Time Series Data

1989 • 337 citations

Detection of Abrupt Changes in Signals and Dynamical Systems

1985 • 332 citations

LONG-RUN NEUTRALITY AND SUPERNEUTRALITY IN AN ARIMA FRAMEWORK

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To criticize the critics: An objective bayesian analysis of stochastic trends

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A critique of the application of unit root tests

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1976 • 308 citations

Spurious Periodicity in Inappropriately Detrended Time Series

1981 • 307 citations

Testing and estimating change-points in time series

1985 • 302 citations

Trends and Cycles in Macroeconomic Time Series

1985 • 300 citations

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1984 • 293 citations

Spurious Periodicity in Inappropriately Detrended Time Series

1981 • 276 citations

An Interpretation of Recent Research on Exchange Rate Target Zones

1992 • 270 citations

Testing for Structural Change in Dynamic Models

1988 • 268 citations

Trends versus Random Walks in Time Series Analysis

1988 • 267 citations

Prediction of multivariate time series by autoregressive model fitting

1985 • 267 citations

Efficient Tests for a Unit Root When the Initial Observation is Drawn From Its Unconditional Distribution

1999 • 267 citations

Testing for Unit Roots: 2

1984 • 255 citations

The effect of seasonal adjustment filters on tests for a unit root

1993 • 240 citations

Pitfalls and Opportunities: What Macroeconomists Should Know about Unit Roots

1991 • 240 citations

Testing Long-Run Neutrality

1992 • 233 citations

On Detecting Changes in the Mean of Normal Variates

1969 • 227 citations

The Fractional Unit Root Distribution

1990 • 226 citations

Trend reversion in real output and unemployment

1989 • 224 citations

Two Methods for Examining the Stability of Regression Coefficients

1977 • 215 citations

Determining the Order of Differencing in Autoregressive Processes

1987 • 212 citations

Reconsidering ‘trends and random walks in macroeconomic time series’

1991 • 211 citations

Robust Tests for Spherical Symmetry and Their Application to Least Squares Regression

1980 • 211 citations

Properties of Sequences of Partial Sums of Polynomial Regression Residuals with Applications to Tests for Change of Regression at Unknown Times

1978 • 209 citations

Testing structural stability with endogenous breakpoint A size comparison of analytic and bootstrap procedures

1996 • 204 citations

On Predictive Least Squares Principles

1992 • 203 citations

Inference in Time Series Regression When the Order of Integration of a Regressor is Unknown

1994 • 203 citations

The likelihood ratio test for a change-point in simple linear regression

1989 • 202 citations

Asymptotic Theory of a Test for the Constancy of Regression Coefficients Against the Random Walk Alternative

1988 • 198 citations

Statistical Inference in Dynamic Economic Models

1951 • 194 citations

The Uncertain Unit Root in Real GNP

2020 • 183 citations

Comparisons of Tests for the Presence of Random Walk Coefficients in a Simple Linear Model

1983 • 183 citations

The relationship between power and level for generic unit root tests in finite samples

1992 • 179 citations

Long-Run Income and Interest Elasticities of Money Demand in the United States

1991 • 178 citations

SURVEY OF CLASSICAL AND BAYESIAN APPROACHES TO THE CHANGE-POINT PROBLEM: FIXED SAMPLE AND SEQUENTIAL PROCEDURES OF TESTING AND ESTIMATION11Research supported in part by ONR Contracts N00014-75-0725 at The George Washington University and N00014-81-K-0407 at SUNY-Binghamton.

1983 • 173 citations

The Relative Importance of Permanent and Transitory Components: Identification and Some Theoretical Bounds

1992 • 171 citations

Money does Granger-cause output in the bivariate money-output relation

1988 • 167 citations

10 Structural time series models

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Trends and Random Walks in Macroeconomic Time Series: A Re-Examination

1992 • 160 citations

Limit theorems on the self-normalized range for weakly and strongly dependent processes

1975 • 158 citations

Finite sample properties of estimators for autoregressive moving average models

1980 • 155 citations

Spectral Regression for Cointegrated Time Series

1988 • 152 citations

On the theory of testing serial correlation

1948 • 145 citations

Approximating the Distribution of the Maximum Likelihood Estimate of the Change-Point in a Sequence of Independent Random Variables

1987 • 144 citations

Limit Theorem on the Self-Normalized Range for Weakly and Strongly Dependent Process

1975 • 141 citations

A Study of the Autoregressive Nature of the Time Series Used for Tinbergen’s Model of the Economic System of the United States, 1919-1932

1948 • 139 citations

Optimal invariant tests for the autocorrelation coefficient in linear regressions with stationary or nonstationary AR(1) errors

1991 • 139 citations

Locally Best Invariant Tests of the Error Covariance Matrix of the Linear Regression Model

1985 • 136 citations

Engel's Law and Cointegration

1992 • 135 citations

Hypothesis Testing in ARIMA(p, 1, q) Models

1985 • 135 citations

Testing Purchasing Power Parity under the Null Hypothesis of Co-Integration

1991 • 134 citations

Testing for Nonstationary Parameter Specifications in Seasonal Time Series Models

1982 • 132 citations

Testing for a Moving Average Unit Root

1990 • 131 citations

Does GNP have a unit root?

1987 • 131 citations

Is Consumption Too Smooth? Long Memory and the Deaton Paradox

1991 • 130 citations

Testing for unit roots in autoregressive moving average models

1991 • 129 citations

Maximum Likelihood Estimation of Regression Models with First Order Moving Average Errors when the Root Lies on the Unit Circle

1983 • 129 citations

Test Consistency with Varying Sampling Frequency

1991 • 129 citations

Output Persistence, Economic Structure, and the Choice of Stabilization Policy

1989 • 128 citations

Towards a theory of point optimal testing

1987 • 124 citations

Estimation of a non-invertible moving average process

1977 • 123 citations

Exact Tests and Confidence sets in Linear Regressions with Autocorrelated Errors

1990 • 123 citations

Unit roots in economic time series: a selective survey

1988 • 116 citations

Confidence Sets in Change-Point Problems

1988 • 116 citations

Serial Correlation and Quadratic Forms in Normal Variables

1942 • 116 citations

Testing for a Moving Average Unit Root in Autoregressive Integrated Moving Average Models

1993 • 112 citations

19 Review about estimation of change points

1988 • 111 citations

Testing for a Random Walk: A Simulation Experiment of Power When the Sampling Interval is Varied

1989 • 110 citations

EXACT SIMILAR TESTS FOR UNIT ROOTS AND COINTEGRATION

1992 • 104 citations

ON THE PROBABILITY OF ESTIMATING A DETERMINISTIC COMPONENT IN THE LOCAL LEVEL MODEL

1990 • 104 citations

Estimation for Autoregressive Processes with Unit Roots

1979 • 102 citations

On the Interpretation of Near Random-Walk Behavior in GNP

1988 • 102 citations

A Continuous Time Approximation to the Unstable First-Order Autoregressive Process: The Case Without an Intercept

1991 • 99 citations

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1986 • 98 citations

The Local Power of the CUSUM and CUSUM of Squares Tests

1990 • 97 citations

'Testing for a unit root In the presence of moving average errors'

1990 • 96 citations

Testing for Regression Coefficient Stability with a Stationary AR(1) Alternative

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The Parameter Inference for Nearly Nonstationary Time Series

1988 • 96 citations

A Bayesian Approach To Estimation Of Time-Varying Regression Coefficients

1973 • 94 citations

Edgeworth and saddlepoint approximations in the first-order noncircular autoregression

1978 • 92 citations

Statistical Testing of Business-Cycle Theories: II; Business Cycles in the United States of America, 1919-32.

1941 • 92 citations

Random and changing coefficient models

1984 • 92 citations

The Order of Differencing in ARIMA Models

1984 • 89 citations

The uncertain unit root in real GNP

1992 • 89 citations

An Exact Test for the Presence of Random Walk Coefficients in a Linear Regression Model

1978 • 86 citations

A General Approach to the Limiting Distribution for Estimators in Time Series Regression with Nonstable Autoregressive Errors

1990 • 85 citations

Economic structural change: Analysis and forecasting

1992 • 85 citations

Tests for Change of Parameter at Unknown Times and Distributions of Some Related Functionals on Brownian Motion

1974 • 84 citations

Recent Advances in Statistics

1983 • 84 citations

The Linear Regression Model Under Test

1986 • 81 citations

Testing for a unit root in the presence of moving average errors

1989 • 81 citations

Stabilization Policies

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Estimation and hypothesis testing in nonstationary time series

1976 • 80 citations

Off-line statistical analysis of change-point models using non parametric and likelihood methods

2005 • 79 citations

Asymptotic Distributions of Unit-Root Tests When the Process Is Nearly Stationary

1991 • 76 citations

The Effect of Serial Correlation on Tests for Parameter Change at Unknown Time

1993 • 76 citations

Testing stationarity and trend stationarity against the unit root hypothesis

1993 • 74 citations

A Direct Test for Changing Trend

1992 • 73 citations

Problems with the estimation of moving average processes

1981 • 72 citations

Effects of data aggregation on the power of tests for a unit root

1992 • 70 citations

Unit-Root Tests and the Statistical Pitfalls of Seasonal Adjustment: The Case of U.S. Postwar Real Gross National Product

1990 • 70 citations

A Class of Tests for Integration and Cointegration

1999 • 69 citations

A Monte Carlo Study of the Effects of Structural Breaks on Tests for Unit Roots

1991 • 68 citations

A Fixed Point Characterization for Bias of Autoregressive Estimators

1989 • 67 citations

The Limiting Distribution of the Serial Correlation Coefficient in the Explosive Case II

1959 • 67 citations

The Temporal Stability of Dividends and Stock Prices: Evidence from the Likelihood Function

1991 • 66 citations

16 Varying coefficient regression

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On the Asymptotic Behavior of Least-Squares Estimators in AR Time Series with Roots Near the Unit Circle

1991 • 64 citations

Small-sample properties of the maximum likelihood estimator in the first-order moving average model

1981 • 62 citations

WHY DO NONINVERTIBLE ESTIMATED MOVING AVERAGES OCCUR?*

1986 • 61 citations

Economic Structural Change: Analysis and Forecasting

1991 • 59 citations

Testing for Deterministic Linear Trend in Time Series

1986 • 59 citations

Testing for deterministic trend and seasonal components in time series models

1983 • 58 citations

Point Optimal Tests for Testing the Order of Differencing in ARIMA Models

1993 • 57 citations

Asymptotic theory of some tests for a possible change in the regression slope occurring at an unknown time point

1980 • 57 citations

AN EXACT TEST FOR A STOCHASTIC COEFFICIENT IN A TIME SERIES REGRESSION MODEL

1988 • 57 citations

A Note on the Estimation of the Parameters of the Autoregressive-Moving Average Process

1977 • 57 citations

Local asymptotic distribution related to the AR(1) model with dependent errors

1994 • 56 citations

Permanent and Transitory Components in Macroeconomic Fluctuations

1987 • 55 citations

The Calculation of the Limiting Distribution of the Least Squares Estimator of the Parameter in a Random Walk Model

1981 • 54 citations

The Calculation of the Limiting Distribution of the Least-Squares Estimator in a Near-Integrated Model

1989 • 53 citations

Testing the Constancy of Regression Relationships Over Time Using Least Squares Residuals

1980 • 53 citations

Limiting power of unit-root tests in time-series regression

1990 • 51 citations

A note on the power of least squares tests for a unit root

1987 • 48 citations

Testing for a unit root in time series using instrumental variable estimators with pretest data based model selection

1992 • 48 citations

Advances in Econometrics and Modelling

1989 • 45 citations

Note concerning the Akaike and Hannan estimation procedures for an autoregressive-moving average processA note on the estimation of the parameters of the autoregressive-moving average process

1977 • 43 citations

On the distribution of some test statistics for coefficient constancy

1989 • 42 citations

A Monte Carlo study of autoregressive integrated moving average processes

1978 • 42 citations

Noninvertibility and Pseudo-Maximum Likelihood Estimation of Misspecified ARMA Models

1991 • 41 citations

Statistical analysis of “structural change”: An annotated bibliography

1989 • 39 citations

Asymptotic Properties of the Maximum-Likelihood and Nonlinear Least-Squares Estimators for Noninvertible Moving Average Models

1989 • 38 citations

Approximation to the Finite Sample Distribution for Nonstable First Order Stochastic Difference Equations

1984 • 37 citations

A trend-resistant test for structural change based on OLS residuals

1996 • 35 citations

Maximum Likelihood Estimation of Regression Models with Stochastic Trend Components

1993 • 34 citations

Higher-order sample autocorrelations and the unit root hypothesis

1993 • 33 citations

The exact moments of the least-squares estimator for the autoregressive model corrections and extensions

1988 • 32 citations

Discussion

1993 • 31 citations

Unit-Root Tests and the Burden of Proof

1992 • 28 citations

The Fredholm Approach to Asymptotic Inference on Nonstationary and Noninvertible Time Series Models

1990 • 27 citations

ESTIMATION FOR STATIONARY TIME SERIES WHEN DATA ARE IRREGULARLY SPACED OR MISSING**Research supported by the National Science Foundation grant number NSF MCS78–01108.

1981 • 27 citations

Asymptotic Distributions of the Least-Squares Estimators and Test Statistics in the Near Unit Root Model with Non-Zero Initial Value and Local Drift and Trend

1994 • 26 citations

Distribution of the ML Estimator of an MA(1) and a local level model

1993 • 25 citations

Parameter inference for a nearly nonstationary first-order autoregressive model

1984 • 23 citations

Stochastic Trends and Short-Run Relationships Between Financial Variables and Real Activity

1993 • 23 citations

The Bias of Forecasts from a First-Order Autoregression

1991 • 22 citations

The adequacy of asymptotic approximations in the near-integrated autoregressive model with dependent errors

1996 • 19 citations

On Testing for the Constancy of Regression Coefficients under Random Walk and Change-Point Alternatives

1992 • 19 citations

A Continuous Time Approximation to the Stationary First-Order Autoregressive Model

1991 • 18 citations

Theory of Capital Reproduction and Accumulation.

1976 • 17 citations

Bayes Methods for Trending Multiple Time Series with an Empirical Application to the US Economy

1992 • 17 citations

Testing long run neutrality

1992 • 17 citations

Asymptotic inference for unstable auto- regressive time series with drifts

1989 • 15 citations

A NOTE ON THE MAXIMUM LIKELIHOOD ESTIMATION OF REGRESSION MODELS WITH FIRST ORDER MOVING AVERAGE ERRORS WITH ROOTS ON THE UNIT CIRCLE

1983 • 12 citations

The Capital Gains and Losses on U.S. Government Debt: 1942-1987

1989 • 12 citations

Time Series Modelling with a Bayesian Frame of Reference: I. Concepts and Illustrations

1991 • 12 citations

Unit Root Tests ARMA Models with Data Dependent Methods for the Selection of the Truncation Lag

1994 • 12 citations

Approximately Median-Unbiased Estimation of Autoregressive Models with Applications to U.S. Macroeconomic and Financial Time Series

1992 • 11 citations

[Pitfalls and Opportunities: What Macroeconomists Should Know about Unit Roots]: Comment

1991 • 11 citations

[The Unifying Role of Iterative Generalized Least Squares in Statistical Algorithms]: Comment

1989 • 10 citations

Continuous Record Asymptotics in Systems of Stochastic Differential Equations

1992 • 9 citations

Posterior Odds Testing for a Unit Root with Data-Based Model Selection

1992 • 8 citations

Optimal Changepoint Tests for Normal Linear Regression

1992 • 7 citations

What Macroeconomists Should Know About Unit Roots as Well: The Bayesian Perspective

1992 • 6 citations

Testing structural stability with endogenous break point: a size comparison of analytic and bootstrap procedures

1993 • 5 citations

Useful Modifications to Some Unit Root Tests with Dependent Errors and Their Local Asymptotic Properties

1994 • 5 citations

On DeJong and Whiteman's Bayesian inference for the unit root model

1991 • 5 citations

Posterior Analysis Of Possibly Integrated Time Series With An Application To Real Gnp

1990 • 4 citations

A Note on a Lagrange Multiplier Test for Testing an Autoregressive Unit Root

1993 • 4 citations

The Adequacy of Asymptotic Approximations in the Near- Integrated Autoregressive Model with Dependent Errors

1994 • 1 citations

A comparison of unit root test criteria

1993 • 1 citations

Deleted Work

1955 • 0 citations

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