IDEAS home Printed from https://ideas.repec.org/p/not/notgts/14-03.html
   My bibliography  Save this paper

Testing for unit roots in panels with structural changes, spatial and temporal dependence when the time dimension is finite

Author

Listed:
  • Yiannis Karavias
  • Elias Tzavalis

Abstract

Finite T panel data unit root tests allowing for structural breaks, spatial cross section dependence, heteroscedasticity, serial correlation, heterogeneity and non-linear trends are proposed. The structural breaks can be at known or unknown dates. For the latter, analytic probability density functions of the asymptotic distributions of the tests are provided based on a minimum order statistic. The tests can accommodate general forms of spatial dependence for which the spatial weights matrix does not have to be defined due to the utilization of a non-parametric estimator. A set of sufficient conditions which determines admissible deterministic trend functions is also provided. Finally, extensive Monte Carlo experiments show the usefulness of the new tests.

Suggested Citation

  • Yiannis Karavias & Elias Tzavalis, 2014. "Testing for unit roots in panels with structural changes, spatial and temporal dependence when the time dimension is finite," Discussion Papers 14/03, University of Nottingham, Granger Centre for Time Series Econometrics.
    • Handle: RePEc:not:notgts:14/03
    as

    Download full text from publisher

    File URL: https://www.nottingham.ac.uk/research/groups/grangercentre/documents/14-03.pdf
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Rembert De Blander & Geert Dhaene, 2012. "Unit root tests for panel data with AR(1) errors and small T," Econometrics Journal, Royal Economic Society, vol. 15(1), pages 101-124, February.
    2. Emek Basker, 2005. "Job Creation or Destruction? Labor Market Effects of Wal-Mart Expansion," The Review of Economics and Statistics, MIT Press, vol. 87(1), pages 174-183, February.
    3. Kaddour Hadri & Rolf Larsson & Yao Rao, 2012. "Testing For Stationarity With A Break In Panels Where The Time Dimension Is Finite," Bulletin of Economic Research, Wiley Blackwell, vol. 64(Supplemen), pages 123-148, December.
    4. Perron, Pierre & Vogelsang, Timothy J., "undated". "Level Shifts and Purchasing Power Parity," Instructional Stata datasets for econometrics levshift, Boston College Department of Economics.
    5. Jushan Bai & Josep Lluís Carrion-I-Silvestre, 2009. "Structural Changes, Common Stochastic Trends, and Unit Roots in Panel Data," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 76(2), pages 471-501.
    6. Apergis, Nicholas & Loomis, David & Payne, James E., 2010. "Are fluctuations in coal consumption transitory or permanent? Evidence from a panel of US states," Applied Energy, Elsevier, vol. 87(7), pages 2424-2426, July.
    7. Karavias, Yiannis & Tzavalis, Elias, 2014. "A fixed-T version of Breitung’s panel data unit root test," Economics Letters, Elsevier, vol. 124(1), pages 83-87.
    8. Murray, Christian J. & Papell, David H., 2005. "Do Panels Help Solve the Purchasing Power Parity Puzzle?," Journal of Business & Economic Statistics, American Statistical Association, vol. 23, pages 410-415, October.
    9. Peter C. B. Phillips & Bruce E. Hansen, 1990. "Statistical Inference in Instrumental Variables Regression with I(1) Processes," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 57(1), pages 99-125.
    10. Sul, Donggyu, 2009. "Panel unit root tests under cross section dependence with recursive mean adjustment," Economics Letters, Elsevier, vol. 105(1), pages 123-126, October.
    11. Moon, H.R.Hyungsik Roger & Perron, Benoit, 2004. "Testing for a unit root in panels with dynamic factors," Journal of Econometrics, Elsevier, vol. 122(1), pages 81-126, September.
    12. Stephen Bond & Julie Ann Elston & Jacques Mairesse & Benoît Mulkay, 2003. "Financial Factors and Investment in Belgium, France, Germany, and the United Kingdom: A Comparison Using Company Panel Data," The Review of Economics and Statistics, MIT Press, vol. 85(1), pages 153-165, February.
    13. Georges Bresson & Badi H. Baltagi & Alain Pirotte, 2007. "Panel unit root tests and spatial dependence," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 22(2), pages 339-360.
    14. Lean, Hooi Hooi & Smyth, Russell, 2013. "Will policies to promote renewable electricity generation be effective? Evidence from panel stationarity and unit root tests for 115 countries," Renewable and Sustainable Energy Reviews, Elsevier, vol. 22(C), pages 371-379.
    15. Hafner, Kurt A. & Mayer-Foulkes, David, 2013. "Fertility, economic growth, and human development causal determinants of the developed lifestyle," Journal of Macroeconomics, Elsevier, vol. 38(PA), pages 107-120.
    16. Breitung, Jörg & Eickmeier, Sandra, 2011. "Testing for structural breaks in dynamic factor models," Journal of Econometrics, Elsevier, vol. 163(1), pages 71-84, July.
    17. Kelejian, Harry H. & Prucha, Ingmar R., 2010. "Specification and estimation of spatial autoregressive models with autoregressive and heteroskedastic disturbances," Journal of Econometrics, Elsevier, vol. 157(1), pages 53-67, July.
    18. Schwert, G William, 2002. "Tests for Unit Roots: A Monte Carlo Investigation," Journal of Business & Economic Statistics, American Statistical Association, vol. 20(1), pages 5-17, January.
    19. Manuel Arellano, 1990. "Testing for Autocorrelation in Dynamic Random Effects Models," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 57(1), pages 127-134.
    20. Narayan, Paresh Kumar & Narayan, Seema & Smyth, Russell, 2008. "Are oil shocks permanent or temporary? Panel data evidence from crude oil and NGL production in 60 countries," Energy Economics, Elsevier, vol. 30(3), pages 919-936, May.
    21. Canarella, Giorgio & Miller, Stephen M. & Nourayi, Mahmoud M., 2013. "Firm profitability: Mean-reverting or random-walk behavior?," Journal of Economics and Business, Elsevier, vol. 66(C), pages 76-97.
    22. Anselin, Luc, 2007. "Spatial econometrics in RSUE: Retrospect and prospect," Regional Science and Urban Economics, Elsevier, vol. 37(4), pages 450-456, July.
    23. Palm, Franz C. & Smeekes, Stephan & Urbain, Jean-Pierre, 2011. "Cross-sectional dependence robust block bootstrap panel unit root tests," Journal of Econometrics, Elsevier, vol. 163(1), pages 85-104, July.
    24. Zivot, Eric & Andrews, Donald W K, 2002. "Further Evidence on the Great Crash, the Oil-Price Shock, and the Unit-Root Hypothesis," Journal of Business & Economic Statistics, American Statistical Association, vol. 20(1), pages 25-44, January.
    25. Diego Romero-Ávila & Carlos Usabiaga, 2007. "Unit Root Tests, Persistence, and the Unemployment Rate of The U.S. States," Southern Economic Journal, John Wiley & Sons, vol. 73(3), pages 698-716, January.
    26. Pesaran, M. Hashem & Vanessa Smith, L. & Yamagata, Takashi, 2013. "Panel unit root tests in the presence of a multifactor error structure," Journal of Econometrics, Elsevier, vol. 175(2), pages 94-115.
    27. Conley, Timothy G & Ligon, Ethan, 2002. "Economic Distance and Cross-Country Spillovers," Journal of Economic Growth, Springer, vol. 7(2), pages 157-187, June.
    28. Hugo Kruiniger & Elias Tzavalis, 2002. "Testing for Unit Roots in Short Dynamic Panels with Serially Correlated and Heteroscedastic Disturbance Terms," Working Papers 459, Queen Mary University of London, School of Economics and Finance.
    29. De Wachter, Stefan & Tzavalis, Elias, 2012. "Detection of structural breaks in linear dynamic panel data models," Computational Statistics & Data Analysis, Elsevier, vol. 56(11), pages 3020-3034.
    30. Jushan Bai & Pierre Perron, 1998. "Estimating and Testing Linear Models with Multiple Structural Changes," Econometrica, Econometric Society, vol. 66(1), pages 47-78, January.
    31. Robin L. Lumsdaine & David H. Papell, 1997. "Multiple Trend Breaks And The Unit-Root Hypothesis," The Review of Economics and Statistics, MIT Press, vol. 79(2), pages 212-218, May.
    32. Chen, Pei-Fen & Lee, Chien-Chiang, 2007. "Is energy consumption per capita broken stationary? New evidence from regional-based panels," Energy Policy, Elsevier, vol. 35(6), pages 3526-3540, June.
    33. Suvankulov, Farrukh & Lau, Marco Chi Keung & Ogucu, Fatma, 2012. "Price regulation and relative price convergence: Evidence from the retail gasoline market in Canada," Energy Policy, Elsevier, vol. 40(C), pages 325-334.
    34. Perron, Pierre, 1989. "The Great Crash, the Oil Price Shock, and the Unit Root Hypothesis," Econometrica, Econometric Society, vol. 57(6), pages 1361-1401, November.
    35. Jinyong Hahn & Guido Kuersteiner, 2002. "Asymptotically Unbiased Inference for a Dynamic Panel Model with Fixed Effects when Both "n" and "T" Are Large," Econometrica, Econometric Society, vol. 70(4), pages 1639-1657, July.
    36. Kruiniger, Hugo, 2008. "Maximum likelihood estimation and inference methods for the covariance stationary panel AR(1)/unit root model," Journal of Econometrics, Elsevier, vol. 144(2), pages 447-464, June.
    37. Yan, Beiling & Bernard, Andre & Warren, Paul, 2007. "Industry characteristics and the law of one price," The North American Journal of Economics and Finance, Elsevier, vol. 18(1), pages 93-105, February.
    38. Phillips, Peter C.B. & Sul, Donggyu, 2007. "Bias in dynamic panel estimation with fixed effects, incidental trends and cross section dependence," Journal of Econometrics, Elsevier, vol. 137(1), pages 162-188, March.
    39. David I. Harvey & Stephen J. Leybourne & A. M. Robert Taylor, 2011. "Testing for Unit Roots and the Impact of Quadratic Trends, with an Application to Relative Primary Commodity Prices," Econometric Reviews, Taylor & Francis Journals, vol. 30(5), pages 514-547, October.
    40. Mello, Marcelo, 2011. "Stochastic Convergence Across U.S. States," Macroeconomic Dynamics, Cambridge University Press, vol. 15(2), pages 160-183, April.
    41. Arellano-Valle, Reinaldo B. & Genton, Marc G., 2008. "On the exact distribution of the maximum of absolutely continuous dependent random variables," Statistics & Probability Letters, Elsevier, vol. 78(1), pages 27-35, January.
    42. Junsoo Lee & Mark C. Strazicich, 2003. "Minimum Lagrange Multiplier Unit Root Test with Two Structural Breaks," The Review of Economics and Statistics, MIT Press, vol. 85(4), pages 1082-1089, November.
    43. Bai, Jushan, 2010. "Common breaks in means and variances for panel data," Journal of Econometrics, Elsevier, vol. 157(1), pages 78-92, July.
    44. Yoosoon Chang & Joon Park, 2002. "On The Asymptotics Of Adf Tests For Unit Roots," Econometric Reviews, Taylor & Francis Journals, vol. 21(4), pages 431-447.
    45. Perron, Pierre & Vogelsang, Timothy J, 1992. "Nonstationarity and Level Shifts with an Application to Purchasing Power Parity," Journal of Business & Economic Statistics, American Statistical Association, vol. 10(3), pages 301-320, July.
    46. Apergis, Nicholas & Loomis, David & Payne, James E., 2010. "Are shocks to natural gas consumption temporary or permanent? Evidence from a panel of U.S. states," Energy Policy, Elsevier, vol. 38(8), pages 4734-4736, August.
    47. Vasilis Sarafidis & Tom Wansbeek, 2012. "Cross-Sectional Dependence in Panel Data Analysis," Econometric Reviews, Taylor & Francis Journals, vol. 31(5), pages 483-531, September.
    48. Kiviet, Jan F., 1995. "On bias, inconsistency, and efficiency of various estimators in dynamic panel data models," Journal of Econometrics, Elsevier, vol. 68(1), pages 53-78, July.
    49. Kim, Dukpa & Perron, Pierre, 2009. "Unit root tests allowing for a break in the trend function at an unknown time under both the null and alternative hypotheses," Journal of Econometrics, Elsevier, vol. 148(1), pages 1-13, January.
    50. Arellano, Manuel, 2003. "Panel Data Econometrics," OUP Catalogue, Oxford University Press, number 9780199245291.
    51. Anselin, Luc, 1990. "Some robust approaches to testing and estimation in spatial econometrics," Regional Science and Urban Economics, Elsevier, vol. 20(2), pages 141-163, September.
    52. Harris, Richard D. F. & Tzavalis, Elias, 1999. "Inference for unit roots in dynamic panels where the time dimension is fixed," Journal of Econometrics, Elsevier, vol. 91(2), pages 201-226, August.
    53. Harris, David & Leybourne, Stephen & McCabe, Brendan, 2005. "Panel Stationarity Tests for Purchasing Power Parity With Cross-Sectional Dependence," Journal of Business & Economic Statistics, American Statistical Association, vol. 23, pages 395-409, October.
    54. Joakim Westerlund, 2014. "Heteroscedasticity Robust Panel Unit Root Tests," Journal of Business & Economic Statistics, Taylor & Francis Journals, vol. 32(1), pages 112-135, January.
    55. David I. Harvey & Stephen J. Leybourne, 2014. "Break Date Estimation for Models with Deterministic Structural Change," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 76(5), pages 623-642, October.
    56. Lin, Pei-Chien & Huang, Ho-Chuan (River), 2012. "Inequality convergence revisited: Evidence from stationarity panel tests with breaks and cross correlation," Economic Modelling, Elsevier, vol. 29(2), pages 316-325.
    57. Yoosoon Chang & Wonho Song, 2009. "Testing for Unit Roots in Small Panels with Short-run and Long-run Cross-sectional Dependencies," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 76(3), pages 903-935.
    58. Nickell, Stephen J, 1981. "Biases in Dynamic Models with Fixed Effects," Econometrica, Econometric Society, vol. 49(6), pages 1417-1426, November.
    59. Karavias, Yiannis & Tzavalis, Elias, 2014. "Testing for unit roots in short panels allowing for a structural break," Computational Statistics & Data Analysis, Elsevier, vol. 76(C), pages 391-407.
    60. Josep Lluís Carrion-i-Silvestre & Tomás del Barrio-Castro & Enrique López-Bazo, 2005. "Breaking the panels: An application to the GDP per capita," Econometrics Journal, Royal Economic Society, vol. 8(2), pages 159-175, July.
    61. repec:bla:buecrs:v:64:y:2012:i::p:s123-s148 is not listed on IDEAS
    62. Kaddour Hadri & Rolf Larsson, 2005. "Testing for stationarity in heterogeneous panel data where the time dimension is finite," Econometrics Journal, Royal Economic Society, vol. 8(1), pages 55-69, March.
    63. Costantini, Mauro & Lupi, Claudio, 2007. "An analysis of inflation and interest rates. New panel unit root results in the presence of structural breaks," Economics Letters, Elsevier, vol. 95(3), pages 408-414, June.
    64. Bai, Jushan & Ng, Serena, 2010. "Panel Unit Root Tests With Cross-Section Dependence: A Further Investigation," Econometric Theory, Cambridge University Press, vol. 26(4), pages 1088-1114, August.
    65. Kapoor, Mudit & Kelejian, Harry H. & Prucha, Ingmar R., 2007. "Panel data models with spatially correlated error components," Journal of Econometrics, Elsevier, vol. 140(1), pages 97-130, September.
    66. Abowd, John M & Card, David, 1989. "On the Covariance Structure of Earnings and Hours Changes," Econometrica, Econometric Society, vol. 57(2), pages 411-445, March.
    67. Conley, T. G., 1999. "GMM estimation with cross sectional dependence," Journal of Econometrics, Elsevier, vol. 92(1), pages 1-45, September.
    68. Levin, Andrew & Lin, Chien-Fu & James Chu, Chia-Shang, 2002. "Unit root tests in panel data: asymptotic and finite-sample properties," Journal of Econometrics, Elsevier, vol. 108(1), pages 1-24, May.
    69. Diego Romero-Avila & Carlos Usabiaga, 2007. "Unit root tests and persistence of unemployment: Spain vs. the United States," Applied Economics Letters, Taylor & Francis Journals, vol. 14(6), pages 457-461.
    70. Robertson, Donald & Sarafidis, Vasilis & Westerlund, Joakim, 2014. "GMM Unit Root Inference in Generally Trending and Cross-Correlated Dynamic Panels," MPRA Paper 53419, University Library of Munich, Germany.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Md. Bokhtiar Hasan & SM Nahidul Islam & Abu N. M. Wahid, 2018. "The effect of macroeconomic variables on the performance of non-life insurance companies in Bangladesh," Indian Economic Review, Springer, vol. 53(1), pages 369-383, December.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Karavias, Yiannis & Tzavalis, Elias, 2014. "Testing for unit roots in short panels allowing for a structural break," Computational Statistics & Data Analysis, Elsevier, vol. 76(C), pages 391-407.
    2. Yiannis Karavias & Elias Tzavalis, 2017. "Local power of panel unit root tests allowing for structural breaks," Econometric Reviews, Taylor & Francis Journals, vol. 36(10), pages 1123-1156, November.
    3. Karavias, Yiannis & Tzavalis, Elias, 2012. "Generalized �Fixed-T Panel Unit Root Tests Allowing for Structural Breaks," MPRA Paper 43128, University Library of Munich, Germany.
    4. Lyócsa, Štefan & Výrost, Tomáš & Baumöhl, Eduard, 2011. "Unit-root and stationarity testing with empirical application on industrial production of CEE-4 countries," MPRA Paper 29648, University Library of Munich, Germany.
    5. Karavias, Yiannis & Tzavalis, Elias, 2013. "The Power Performance of Fixed-T Panel Unit Root Tests allowing for Structural Breaks," MPRA Paper 46012, University Library of Munich, Germany.
    6. Yiannis Karavias & Elias Tzavalis, 2012. "Generalized fixed-T panel unit root tests allowing for structural breaks," Discussion Papers 12/02, University of Nottingham, Granger Centre for Time Series Econometrics.
    7. Yiannis Karavias & Elias Tzavalis, 2016. "Local Power of Fixed-T Panel Unit Root Tests With Serially Correlated Errors and Incidental Trends," Journal of Time Series Analysis, Wiley Blackwell, vol. 37(2), pages 222-239, March.
    8. Chan, Felix & Pauwels, Laurent, 2011. "Model specification in panel data unit root tests with an unknown break," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 81(7), pages 1299-1309.
    9. Schneider, Nicolas & Strielkowski, Wadim, 2023. "Modelling the unit root properties of electricity data—A general note on time-domain applications," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 618(C).
    10. Ozcan, Burcu & Ozturk, Ilhan, 2016. "A new approach to energy consumption per capita stationarity: Evidence from OECD countries," Renewable and Sustainable Energy Reviews, Elsevier, vol. 65(C), pages 332-344.
    11. Norkutė, Milda & Westerlund, Joakim, 2021. "The factor analytical approach in near unit root interactive effects panels," Journal of Econometrics, Elsevier, vol. 221(2), pages 569-590.
    12. Tolga Omay & Mübariz Hasanov & Yongcheol Shin, 2018. "Testing for Unit Roots in Dynamic Panels with Smooth Breaks and Cross-Sectionally Dependent Errors," Computational Economics, Springer;Society for Computational Economics, vol. 52(1), pages 167-193, June.
    13. Giorgio Canarella & Rangan Gupta & Stephen M. Miller & Stephen K. Pollard, 2019. "Unemployment rate hysteresis and the great recession: exploring the metropolitan evidence," Empirical Economics, Springer, vol. 56(1), pages 61-79, January.
    14. Shahbaz, Muhammad & Khraief, Naceur & Mahalik, Mantu Kumar & Zaman, Khair Uz, 2014. "Are fluctuations in natural gas consumption per capita transitory? Evidence from time series and panel unit root tests," Energy, Elsevier, vol. 78(C), pages 183-195.
    15. Lean, Hooi Hooi & Smyth, Russell, 2014. "Will initiatives to promote hydroelectricity consumption be effective? Evidence from univariate and panel LM unit root tests with structural breaks," Energy Policy, Elsevier, vol. 68(C), pages 102-115.
    16. Yifei Cai & Cosimo Magazzino, 2019. "Are shocks to natural gas consumption transitory or permanent? A more powerful panel unit root test on the G7 countries," Natural Resources Forum, Blackwell Publishing, vol. 43(2), pages 111-120, May.
    17. Chen, Pei-Fen & Lee, Chien-Chiang, 2007. "Is energy consumption per capita broken stationary? New evidence from regional-based panels," Energy Policy, Elsevier, vol. 35(6), pages 3526-3540, June.
    18. Tolga Omay & Muhammad Shahbaz & Chris Stewart, 2021. "Is there really hysteresis in the OECD unemployment rates? New evidence using a Fourier panel unit root test," Empirica, Springer;Austrian Institute for Economic Research;Austrian Economic Association, vol. 48(4), pages 875-901, November.
    19. Syed A. Basher & Josep Lluís Carrion-i-Silvestre, 2007. "Another Look at the Null of Stationary RealExchange Rates. Panel Data with Structural Breaks and Cross-section Dependence," IREA Working Papers 200710, University of Barcelona, Research Institute of Applied Economics, revised May 2007.
    20. Hakan Kum, 2012. "Are Fluctuations in Energy Consumption Transitory or Permanent? Evidence From a Panel of East Asia & Pacific Countries," International Journal of Energy Economics and Policy, Econjournals, vol. 2(3), pages 92-96.

    More about this item

    Keywords

    Panel data; Unit roots; Structural breaks; Spatial dependence; Serial correlation; Fixed T;
    All these keywords.

    NEP fields

    This paper has been announced in the following NEP Reports:

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:not:notgts:14/03. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: the person in charge (email available below). General contact details of provider: https://edirc.repec.org/data/tsnotuk.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.