scholarly journals STUDY OF TESTS FOR TREND IN TIME SERIES

2021 ◽  
Vol 39 (2) ◽  
pp. 311-333
Author(s):  
Denise de Assis PAIVA ◽  
Thelma SÁFADI
Keyword(s):  
Time Series ◽  
Unit Root ◽  
Structural Breaks ◽  
Consumer Price Index ◽  
Unit Root Tests ◽  
Metropolitan Region ◽  
Maximum Temperature ◽  
Pettitt Test ◽  
Using Data ◽  
Time Series Methodology

The time series methodology is an important tool when using data over time. The time series can be composed of the components trend (Tt), seasonality (St) and the random error (at). The aim of this study was to evaluate the tests used to analyze the trend component, which were: Pettitt, Run, Mann-Kendall, Cox-Stuart and the unit root tests (Dickey-Fuller, Dickey-Fuller Augmented and Zivot and Andrews), given that there is a discrepancy between the test results found in the literature. The four series analyzed were the maximum temperature in the Lavras city, MG, Brazil, the unemployment rate in the Metropolitan Region of S~ao Paulo (RMSP), the Broad Consumer Price Index (IPCA) and the nominal Gross Domestic Product (GDP) of Brazil. It was found that the unit root tests showed similar results in relation to the presence of the stochastic trend for all series. Furthermore, the turning point of the Pettitt test diverged from all the structural breaks found through the Zivot and Andrews test, except for the GDP series. Therefore, it was found that the trend tests diverged, obtaining similar results only in relation to the unemployment series.

scholarly journals Structural Breaks and Explosive Behavior in the Long-Run: The Case of Australian Real House Prices, 1870–2020

2021 ◽  
Vol 15 (1) ◽  
pp. 72-84
Author(s):  
Vicente Esteve ◽  
Maria A. Prats
Keyword(s):  
Time Series ◽  
Unit Root ◽  
Structural Breaks ◽  
House Prices ◽  
Unit Root Tests ◽  
Annual Data ◽  
Bubble Behavior ◽  
Long Period ◽  
Long Run ◽  
Long Time

Abstract In this article, we use tests of explosive behavior in real house prices with annual data for the case of Australia for the period 1870–2020. The main contribution of this paper is the use of very long time series. It is important to use longer span data because it offers more powerful econometric results. To detect episodes of potential explosive behavior in house prices over this long period, we use the recursive unit root tests for explosiveness proposed by Phillips et al. (2011), (2015a,b). According to the results, there is a clear speculative bubble behavior in real house prices between 1997 and 2020, speculative process that has not yet been adjusted.

scholarly journals Is Inflation Rate of Turkey Stationary? Evidence from Unit Root Tests with and Without Structural Breaks

2017 ◽  
Vol 10 (2) ◽  
pp. 29-52
Author(s):  
Uğur Sivri
Keyword(s):  
Time Series ◽  
Unit Root ◽  
Structural Breaks ◽  
Inflation Rate ◽  
Unit Root Tests ◽  
Price Stability ◽  
Test Results ◽  
Policy Changes ◽  
High Inflation ◽  
Break Points

AbstractTurkey has high inflation experience and in order to bring inflation rate down as well as maintaining macroeconomic stability many policy changes and reforms have been implemented. Despite some success, decreasing inflation rate is still an aim of monetary policy and price stability is still faraway. This article investigates time series properties of Turkish CPI inflation rate in both seasonally unadjusted and adjusted forms. Results of various unit root tests without structural breaks generally show that inflation rate is a nonstationary variable. This article also uses one and two breaks minimum LM unit root tests due to Lee and Strazicich (2004, 2003), respectively. In this case, test results show that inflation rate is a stationary variable with breaks. Although selected break points differ with respect to models and variables to some extent, it is observed that one break occurred around March 1994, and the second break occurred around April 2001.

scholarly journals UNEMPLOYMENT HYSTERESIS IN TURKEY: EVIDENCE FROM NONLINEAR UNIT ROOT TESTS WITH FOURIER FUNCTION

2019 ◽  
Vol 20 (3) ◽  
pp. 178-188
Author(s):  
Burak Güriş ◽  
Gülşah Sedefoğlu
Keyword(s):  
Time Series ◽  
Unit Root ◽  
Development Process ◽  
Structural Breaks ◽  
Unit Root Tests ◽  
Smooth Transition ◽  
Star Model ◽  
Fourier Function ◽  
Smooth Transition Autoregressive ◽  
Nonlinear Unit Root Tests

The purpose of the article is to give brief information about the development process of time series analysis and to test the validity of the unemployment hysteresis in Turkey for female and male graduates for the years from 1988 to 2013. For this purpose, Kapetanios et al. [2003], Sollis [2009] and Kruse [2011] nonlinear unit root tests are applied based on the smooth transition autoregressive (STAR) model. Besides, nonlinear unit root tests proposed by Christopoulos et al. [2010] and Guris [2018] are employed to model the structural breaks through Fourier approach and to model the nonlinearity through a STAR model.

Survey on structural breaks and unit root tests

2020 ◽  
Vol 58 ◽  
pp. 96-141
Author(s):  
A. Skrobotov ◽  
◽  
Keyword(s):  
Unit Root ◽  
Structural Breaks ◽  
Unit Root Tests

A revisit of the unemployment rate, interest rate, GDP growth and Inflation of Pakistan: Whether Structural break or unit root?

2021 ◽  
Vol 3 (2) ◽  
pp. 80-92
Author(s):  
Sara Muhammadullah ◽  
Amena Urooj ◽  
Faridoon Khan
Keyword(s):  
Interest Rate ◽  
Unemployment Rate ◽  
Unit Root ◽  
Structural Breaks ◽  
Inflation Rate ◽  
Structural Break ◽  
Unit Root Test ◽  
Unit Root Tests ◽  
Gdp Growth ◽  
Macroeconomic Indicators

The study investigates the query of structural break or unit root considering four macroeconomic indicators; unemployment rate, interest rate, GDP growth, and inflation rate of Pakistan. The previous studies create ambiguity regarding the stationarity and non-stationarity of these variables. We employ Zivot & Andrews (1992) unit root test and Step Indicator Saturation (SIS) method for multiple break detection in mean. GDP growth and inflation rate are stationary at level whereas unit root tests fail to reject the null hypothesis of the unemployment rate and interest rate at level. However, Zivot and Andrew unit root test with a single endogenous break indicates that the unemployment rate and interest rate are stationary at level with a single endogenous break. On the other hand, the SIS method reveals that the series are stationary with multiple structural breaks. It is inferred that it is inappropriate to take the first difference of the unemployment rate and interest rate to attain stationarity. The results of this study confirmed that there exist multiple breaks in the macroeconomic variables considered in the context of Pakistan.

scholarly journals HAS INFLATION TARGETING BEEN SUCCESSFUL? EVIDENCE FROM UNIT ROOT TESTS

2019 ◽  
Vol 78 (308) ◽  
pp. 120
Author(s):  
Mesut Turkay ◽  
Burak Sencer Atasoy
Keyword(s):  
Time Series ◽  
Unit Root ◽  
Inflation Targeting ◽  
Inflation Rate ◽  
Unit Root Tests ◽  
Policy Framework ◽  
Panel Unit Root Tests ◽  
Panel Unit Root ◽  
The World ◽  
Monetary Policy Framework

<p class="run-in" align="center"><strong>ABSTRACT</strong></p><p>The popularity of inflation targeting has risen in the last decade and the number of countries that adopted inflation targeting as their monetary policy framework surpassed 40 by the end of 2016. This study analyzes whether inflation targeting around the world has been successful in terms of achieving the announced target and keeping inflation rate around it. We argue that a successful inflation targeting necessitates the deviation of inflation from the target be stationary. We employ both time series and panel unit root tests in order to analyze the stationarity properties of deviation of inflation from the target. Results of unit root tests provide evidence in favor of the success of inflation targeting framework around the world.</p><p align="center"><strong> </strong></p><p align="center"><strong>¿HAN SIDO EXITOSAS LAS METAS DE INFLACIÓN? RESULTADOS DE LAS PRUEBAS DE RAÍZ UNITARIA</strong></p><p class="run-in" align="center"><strong>RESUMEN</strong></p>La popularidad de las metas de inflación ha aumentado en la última década y el número de países que adoptaron metas de inflación como su marco de política monetaria sobrepasó los 40 a finales del 2016. Este estudio analiza si las metas de inflación alrededor del mundo han tenido éxito en términos de alcanzar el objetivo anunciado y mantener la tasa de inflación alrededor de su meta. Argumentamos que una meta exitosa de inflación requiere que la desviación de la inflación respecto a la meta sea estacionaria. Empleamos tanto series de tiempo como pruebas de raíz unitaria en panel con el fin de analizar las propiedades estacionarias de la desviación de la inflación en relación con el objetivo. Los resultados de las pruebas de raíz unitaria proporcionan evidencia a favor del éxito del marco de metas de inflación en todo el mundo.

scholarly journals Transportation Dynamic Behaviour of Structural Break and Consumer Price Index

2019 ◽  
Vol 8 (2) ◽  
pp. 283-290
Keyword(s):  
Unit Root ◽  
Structural Breaks ◽  
Price Index ◽  
Dynamic Behaviour ◽  
Structural Break ◽  
Consumer Price Index ◽  
Unit Root Test ◽  
Peninsular Malaysia ◽  
Cointegration Tests ◽  
Break Points

This paper studies the dynamic behaviour of transportation price in Peninsular Malaysia and Sabah from 2004 to 2015 using disaggregated monthly price data of consumer price index (CPI). For that, unit root tests and cointegration tests with structural breaks are incorporated. The findings indicated that (i) both Zivot and Andrews unit root test and Perron unit root test provided fairly similar results; most of the break points occurred in 2008, (ii) the variables cointegrate in the Johansen cointegration test which indicates that there is a long-run relationship and (iii) the Gregory and Hansen test also demonstrated some form of cointegration with structural break(s), especially in 2008. Overall, this study intends to match the structural break points with the comparable critical economic events

Unit-root tests for explosive behavior

2021 ◽  
Vol 21 (4) ◽  
pp. 999-1020
Author(s):  
Christopher F. Baum ◽  
Jesús Otero
Keyword(s):  
International Economic ◽  
Unit Root ◽  
American Statistical Association ◽  
Unit Root Tests ◽  
Statistical Association ◽  
International Economic Review ◽  
Augmented Dickey Fuller ◽  
Using Data ◽  
The Right ◽  
Rolling Windows

We present a new command, radf, that tests for explosive behavior in time series. The command computes the right-tail augmented Dickey and Fuller (1979, Journal of the American Statistical Association 74: 427–431) unitroot test and its further developments based on supremum statistics derived from augmented Dickey–Fuller-type regressions estimated using recursive windows (Phillips, Wu, and Yu, 2011, International Economic Review 52: 201–226) and recursive flexible windows (Phillips, Shi, and Yu, 2015, International Economic Review 56: 1043–1078). It allows for the lag length in the test regression and the width of rolling windows to be either specified by the user or determined using data-dependent procedures, and it performs the date-stamping procedures advocated by Phillips, Wu, and Yu (2011) and Phillips, Shi, and Yu (2015) to identify episodes of explosive behavior. It also implements the wild bootstrap proposed by Phillips and Shi (2020, Handbook of Statistics: Financial, Macro and Micro Econometrics Using R, Vol. 42, 61–80) to lessen the potential effects of unconditional heteroskedasticity and account for the multiplicity issue in recursive testing. The use of radf is illustrated with an empirical example.

Auxiliary Modeling Procedures

2019 ◽  
pp. 136-153
Author(s):  
David McDowall ◽  
Richard McCleary ◽  
Bradley J. Bartos
Keyword(s):  
Time Series ◽  
Error Correction ◽  
Unit Root ◽  
Model Building ◽  
Causal Effect ◽  
Information Criteria ◽  
Unit Root Tests ◽  
Error Correction Models ◽  
Control Time ◽  
Model Building Strategy

Chapter 5 describes three sets of auxiliary methods that have emerged as add-on supplements to the traditional ARIMA model-building strategy. First, Bayesian information criteria (BIC) can be used to inform incremental modeling decisions. BICs are also the basis for the Bayesian hypothesis tests introduced in Chapter 6. Second, unit root tests can be used to inform differencing decisions. Used appropriately, unit root tests guard against over-differencing. Finally, co-integration and error correction models have become a popular way of representing the behavior of two time series that follow a shared path. We use the principle of co-integration to define the ideal control time series. Put simply, a time series and its ideal counterfactual control time series are co-integrated up the time of the intervention. At that point, if the two time series diverge, the magnitude of their divergence is taken as the causal effect of the intervention.

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