Testing for structural change in the dynamic adjustment model with autoregressive errors

The dynamic CUSUM test for structural change proposed by Kr?mer, Ploberger and Alt (1988) is investigated when the errors are serially correlated in a linear dynamic model. We show that the dynamic CUSUM test can be modified to allow for serial correlation in the disturbance using the same procedure as in Kao and Ross (1995), and that the modified dynamic CUSUM test retains its asymptotic significance levels. Monte Carlo results suggest that the empirical size of the dynamic CUSUM test is highly distorted while the empirical size of the modified dynamic CUSUM test is fairly robust to the change on the degree of autocorrelation. We also find that the power of the modified test essentially depends on the angle between the mean regressors and the structural shift. First version received: April 1997/Final version received: January 1998     

A CUSUM test for a long memory heterogeneous autoregressive model

A CUSUM test is proposed for testing structural breaks in a long-memory heterogeneous autoregressive model. The limiting distribution of the CUSUM test is shown to be a simple function of a standard Brownian bridge, contrasting with the nuisance parameter dependent asymptotics of other CUSUM tests based on fractional integration models. A Monte-Carlo experiment investigates finite sample size and power of the test. The proposed test is applied to a set of daily realized volatilities of the log-return of the Korean Won US Dollar exchange rate to reveal some evidence of a break in addition to a long-memory.     

Power properties of the CUSUM and CUSUMSQ tests for parameter instability

This article investigates the power of CUSUM and CUSUMSQ tests for parameter stability and demonstrates that this depends on the nature of the structural change taking place. If the break is in the intercept of the regression equation then the CUSUM test has higher power. However, if the structural change involves a slope coefficient or the variance of the error term, then the CUSUMSQ test has higher power. This may help to explain why the two tests often produce contradictory findings.     

On studentizing a test for structural change

We show that the asymptotic null distribution of the CUSUM of squares test is not robust against deviations from normality, and propose a modification which overcomes this deficiency.     

Mean adjustment and the CUSUM test for structural change

We show that the common practice of mean adjusting the data prior to regression and testing has serious implications for the null distribution of the CUSUM test for structural change.     

The CUSUM of squares test for the stability of regression models with non-stationary regressors

In this paper, we propose a modified CUSUM of squares test in time series regression models with a non-stationary regressor and show that the limiting distribution of this test is the sup of the absolute value of a Brownian bridge.     

A modification of the CUSUM test in the linear regression model with lagged dependent variables

We consider testing for structural change in a dynamic linear regression model, and show that the well known CUSUM test, which has been initially devised only for the standard static model, can easily be modified such as to remain asymptotically valid also in this nonstandard situation.     

Services sector and economic growth in India

This study examines the long-run equilibrium and short-run dynamic relationship between services sector and Gross Domestic Product (GDP) and between services and nonservices sectors in India. The model is estimated using the optimal single-equation and the maximum-likelihood system estimators. All the estimators consistently suggest the cointegrating relationship between services sector and GDP as well as between services and nonservices sectors. The estimates of long-run elasticity parameters are statistically significant and dimensionally consistent across the estimators. The conventional Cumulative Sum (CUSUM) and the new CUSUM and Moving Sum (MOSUM) tests suggest the stability of the equilibrium residuals and reinforce the cointegrating relationship between the model series. The error correction model provides some support for unidirectional Granger-causality from services sector to GDP. The impulse response and variance decomposition analyses instead suggest the bidirectional causality between services sector and GDP and between services and nonservices sectors. The stable growth of services sector is essentially crucial to absorb the adverse effects of exogenous weather shocks in agriculture and industry and provide resilience to the economy.     

Power monotonicity in detecting volatility levels change

We show that the CUSUM and LM tests for structural change in the volatility process enjoy monotonic power. The framework is general including many recently proposed non-stationary GARCH-type models. The result is in contrast to the well-known issue of non-monotonic power for the CUSUM-based tests for changing mean. Simulations and an empirical example provide further support.     

The FMLS-based CUSUM statistic for testing the null of smooth time-varying cointegration in the presence of a structural break

In this paper we extend the FMLS-based CUSUM cointegration test (Xiao and Phillips, 2002) for testing the smooth time-varying cointegration null hypothesis. For this purpose we use Chebyshev time polynomials to specify time-varying coefficients under the null. We derive the limiting distribution of the statistic, which is pivotal with the order of the Chebyshev time polynomials, and we provide the critical values to conduct the proposed test.     

A new test for structural change

In this paper we are interested in detecting structural change at an unknown point. We argue that the CUSUM test may not ideal for this, and propose an alternative test. Critical values for this test are determined based on the multiple studentt test procedure. A Monte Carlo study suggests that the new test is quite powerful when the structural change occurs in the latter part of the sample. The new test also provides information about the location of structural change.     

Stability of the money demand function in Asian developing countries

Previous studies that estimated the money demand function in Asian developing countries either employed traditional estimation techniques or recently popularized cointegration technique. While the first group suffers from ‘spurious regression’ problems, the second group interpreted their finding of cointegration as a sign of stability of estimated parameters. This study, after incorporating the CUSUM and CUSUMSQ tests into cointegration analysis, shows that in some Asian countries even though real M1 or M2 monetary aggregates are cointegrated with their determinants, the estimated parameters are unstable.     

Coal consumption: An alternate energy resource to fuel economic growth in Pakistan

This study is an attempt to revisit the causal relationship between coal consumption and economic growth in case of Pakistan. The present study covers the period of 1974–2010. The direction of causality between the variables is investigated by applying the VECM Granger causality approach. Our findings have exposed that there exists bidirectional Granger causality between economic growth and coal consumption. The Cumulative Sum (CUSUM) and Cumulative Sum of Square (CUSUMSQ) diagrams have not found any structural instability over the period of 1974–2010.     

How stable is the demand for money in Greece?

Abstract

The cointegration technique is now a common method of estimating any money demand function. Numerous studies that applied this technique to estimate the money demand function in Greece, interpreted their finding of cointegration as a sign of stable money demand. In this paper, after incorporating CUSUM and CUSUMSQ tests into cointegration analysis, we show that even though M1 and M2 monetary aggregates are cointegrated with income and interest rate, the M2 money demand function is unstable while M1 is stable.     

Testing linear relationships between non-constant variances of economic variables

We aim to assess linear relationships between the non-constant variances of economic variables. A two-step methodology is proposed to solve this problem. First, the conditional mean is filtered by mean of a vector autoregressive (VAR) model. Then, a bootstrap cumulative sum (CUSUM) test is applied to the residuals. Simulations suggest a good behavior of the test, for sample sizes commonly encountered in practice. The tool we provide is intended to highlight relations, or draw common patterns between economic variables, through their non-constant variances. The outputs of this paper are illustrated considering U.S. regional data.     

Co-integration and causality analysis between stock market prices and their determinates in Jordan

The current study examines the short- and long-term equilibrium relationship between the stock price index (SPI) and the macroeconomic variables in Jordan. Annual time series data over the 1978–2010 period for industrial production (IP), money supply (M2), exchange rate (EX), and discount rate (DR) were used. The ADF, bound testing approach, CUSUM, and CUSUMQ tests were applied to test the stationary and co-integration among variables. The results suggest the existence of a long-term equilibrium relationship between SPI and the macroeconomic variables (i.e., IP, M2, EX, and DR).     

CO2 emissions,output, energy consumption,and trade in Tunisia

This article contributes to the literature by investigating the dynamic relationship between carbon dioxide (CO₂) emissions, output (GDP), energy consumption, and trade using the bounds testing approach to cointegration and the ARDL methodology for Tunisia over the period 1971–2008. The empirical results reveal the existence of two causal long-run relationships between the variables. In the short-run, there are three unidirectional Granger causality relationships, which run from GDP, squared GDP and energy consumption to CO₂ emissions. To check the stability in the parameter of the selected model, CUSUM and CUSUMSQ were used. The results also provide important policy implications.     

Testing the Saving-Investment correlations in India: An evidence from single-equation and system estimators

This study tests the Saving-Investment correlations in India using both single-equation and system estimators. All the estimators suggest the cointegrating relationship between saving and investment, and the results are robust to the choice of estimator. The conventional and new CUSUM tests show long-run stability of equilibrium residuals and reinforce the cointegrating relationship between the model series. The slope parameter on saving is significantly different from zero, but not from one. These results support the FH hypothesis and suggest the imperfect mobility of capital and home-bias in the asset portfolio of domestic investors. The heavy reliance of investment on domestic saving also reinforces the ‘Lucas Puzzle’ on the lack of capital flows from the developed countries to the developing countries with scare capital and higher marginal product of capital.     

The Stability of the Demand for Money in Monetary Unions: Some Empirical Evidence from WAEMU

Previous studies of the stability of the demand for money have been largely conducted in the context of individual countries. To the extent that these countries have control over their monetary policies, such an approach is well justified. However, for monetary unions, where the control over monetary policy is usually vested in a central or outside authority, it is more appropriate to examine the stability of the money demand for the union as a collective entity. This paper follows this approach with respect to a West African monetary union, the WAEMU, whose monetary policies are largely dictated by the French authorities. Using cointegration theory and CUSUM stability tests, we find evidence that the demand for broad money is stable in this union. Given the empirical results, the paper draws inferences regarding their implications for the formulation of optimal monetary policy for the WAEMU.     

Remittances and investment nexus in Bangladesh: an ARDL bounds testing approach

Bangladesh is the 8th largest remittance recipient country in the world and one of the heavily dependent (11 % of GDP) countries of remittances. Despite its importance in policy making in developing countries like Bangladesh, there is absence of any study regarding the effect of remittances on the level of investment. In an attempt to fill the gap, we examine the cointegrating property and stability of the relationship among these variables using the ARDL bounds testing approach combined with CUSUM and CUSUMSQ tests. Our findings show that both remittances and trade openness positively and significantly influence the level of investment in Bangladesh, meaning that contrary to most conclusions found in the literature, migrant remittances in developing countries are not entirely spent in basic consumption needs. We also find that foreign aid has very little and insignificant impact on investment. Finally, we find long-run unidirectional causal relationship running from remittances to investment indicating that favorable policies to increase the flow of remittance will promote investment in Bangladesh.