IDEAS home Printed from https://ideas.repec.org/a/taf/jnlbes/v29y2011i1p86-95.html
   My bibliography  Save this article

An Econometric Analysis of Some Models for Constructed Binary Time Series

Author

Listed:
  • Don Harding
  • Adrian Pagan

Abstract

Macroeconometric and financial researchers often use binary data constructed in a way that creates serial dependence. We show that this dependence can be allowed for if the binary states are treated as Markov processes. In addition, the methods of construction ensure that certain sequences are never observed in the constructed data. Together these features make it difficult to utilize static and dynamic Probit models. We develop modeling methods that respect the Markov-process nature of constructed binary data and explicitly deals with censoring constraints. An application is provided that investigates the relation between the business cycle and the yield spread.

Suggested Citation

  • Don Harding & Adrian Pagan, 2011. "An Econometric Analysis of Some Models for Constructed Binary Time Series," Journal of Business & Economic Statistics, Taylor & Francis Journals, vol. 29(1), pages 86-95, January.
    • Handle: RePEc:taf:jnlbes:v:29:y:2011:i:1:p:86-95
    DOI: 10.1198/jbes.2009.08005
    as

    Download full text from publisher

    File URL: http://hdl.handle.net/10.1198/jbes.2009.08005
    Download Restriction: Access to full text is restricted to subscribers.
    File URL: https://libkey.io/10.1198/jbes.2009.08005?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to look for a different version below or search for a different version of it.

    Other versions of this item:

    References listed on IDEAS

    as
    1. de Jong, Robert M. & Woutersen, Tiemen, 2011. "Dynamic Time Series Binary Choice," Econometric Theory, Cambridge University Press, vol. 27(4), pages 673-702, August.
    2. Cashin, Paul & McDermott, C John, 2002. "'Riding on the Sheep's Back': Examining Australia's Dependence on Wool Exports," The Economic Record, The Economic Society of Australia, vol. 78(242), pages 249-263, September.
    3. Lunde A. & Timmermann A., 2004. "Duration Dependence in Stock Prices: An Analysis of Bull and Bear Markets," Journal of Business & Economic Statistics, American Statistical Association, vol. 22, pages 253-273, July.
    4. Arturo Estrella & Frederic S. Mishkin, 1998. "Predicting U.S. Recessions: Financial Variables As Leading Indicators," The Review of Economics and Statistics, MIT Press, vol. 80(1), pages 45-61, February.
    5. Maheu, John M & McCurdy, Thomas H, 2000. "Identifying Bull and Bear Markets in Stock Returns," Journal of Business & Economic Statistics, American Statistical Association, vol. 18(1), pages 100-112, January.
    6. Carmen M. Reinhart & Graciela L. Kaminsky, 1999. "The Twin Crises: The Causes of Banking and Balance-of-Payments Problems," American Economic Review, American Economic Association, vol. 89(3), pages 473-500, June.
    7. Paul Cashin & C. John McDermott, 2002. "‘Riding on the Sheep’s Back’: Examining Australia’s Dependence on Wool Exports," The Economic Record, The Economic Society of Australia, vol. 78(242), pages 249-263, September.
    8. Candelon, Bertrand & Piplack, Jan & Straetmans, Stefan, 2008. "On measuring synchronization of bulls and bears: The case of East Asia," Journal of Banking & Finance, Elsevier, vol. 32(6), pages 1022-1035, June.
    9. Kee-Hong Bae & G. Andrew Karolyi & René M. Stulz, 2003. "A New Approach to Measuring Financial Contagion," The Review of Financial Studies, Society for Financial Studies, vol. 16(3), pages 717-763, July.
    10. Michael J. Dueker, 1997. "Strengthening the case for the yield curve as a predictor of U.S. recessions," Review, Federal Reserve Bank of St. Louis, issue Mar, pages 41-51.
    11. Baur, Dirk & Schulze, Niels, 2005. "Coexceedances in financial markets--a quantile regression analysis of contagion," Emerging Markets Review, Elsevier, vol. 6(1), pages 21-43, April.
    12. Mr. Abdul d Abiad, 2003. "Early Warning Systems: A Survey and a Regime-Switching Approach," IMF Working Papers 2003/032, International Monetary Fund.
    13. Cashin, Paul & McDermott, C. John & Scott, Alasdair, 2002. "Booms and slumps in world commodity prices," Journal of Development Economics, Elsevier, vol. 69(1), pages 277-296, October.
    14. Pagan,Adrian & Ullah,Aman, 1999. "Nonparametric Econometrics," Cambridge Books, Cambridge University Press, number 9780521355643.
    15. Gerhard Bry & Charlotte Boschan, 1971. "Foreword to "Cyclical Analysis of Time Series: Selected Procedures and Computer Programs"," NBER Chapters, in: Cyclical Analysis of Time Series: Selected Procedures and Computer Programs, pages -1, National Bureau of Economic Research, Inc.
    16. Ibbotson, Roger G & Jaffe, Jeffrey F, 1975. ""Hot Issue" Markets," Journal of Finance, American Finance Association, vol. 30(4), pages 1027-1042, September.
    17. Adrian R. Pagan & Kirill A. Sossounov, 2003. "A simple framework for analysing bull and bear markets," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 18(1), pages 23-46.
    18. Stijn Claessens & M. Ayhan Kose & Marco E. Terrones, 2009. "What happens during recessions, crunches and busts? [Business cycles for G-7 and European countries]," Economic Policy, CEPR;CES;MSH, vol. 24(60), pages 653-700.
    19. Michael D. Bordo & David C. Wheelock, 2006. "When do stock market booms occur? the macroeconomic and policy environments of 20th century booms," Working Papers 2006-051, Federal Reserve Bank of St. Louis.
    20. Gerhard Bry & Charlotte Boschan, 1971. "Cyclical Analysis of Time Series: Selected Procedures and Computer Programs," NBER Books, National Bureau of Economic Research, Inc, number bry_71-1, March.
    21. Neftci, Salih N, 1984. "Are Economic Time Series Asymmetric over the Business Cycle?," Journal of Political Economy, University of Chicago Press, vol. 92(2), pages 307-328, April.
    22. Daniel M. Chin & John Geweke & Preston J. Miller, 2000. "Predicting turning points," Staff Report 267, Federal Reserve Bank of Minneapolis.
    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. Monica Billio & Roberto Casarin & Francesco Ravazzolo & Herman K. van Dijk, 2013. "Interactions between eurozone and US booms and busts: A Bayesian panel Markov-switching VAR model," Working Papers 2013:17, Department of Economics, University of Venice "Ca' Foscari", revised 2014.
    2. Makram El-Shagi & Gregor Von Schweinitz, 2016. "Qual Var Revisited: Good Forecast, Bad Story," Journal of Applied Economics, Taylor & Francis Journals, vol. 19(2), pages 293-321, November.
    3. Erik Kole & Dick Dijk, 2017. "How to Identify and Forecast Bull and Bear Markets?," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 32(1), pages 120-139, January.
    4. Candelon, Bertrand & Dumitrescu, Elena-Ivona & Hurlin, Christophe, 2014. "Currency crisis early warning systems: Why they should be dynamic," International Journal of Forecasting, Elsevier, vol. 30(4), pages 1016-1029.
    5. Bertrand Candelon & Elena-Ivona Dumitrescu & Christophe Hurlin & Franz C. Palm, 2013. "Multivariate Dynamic Probit Models: An Application to Financial Crises Mutation," Advances in Econometrics, in: VAR Models in Macroeconomics – New Developments and Applications: Essays in Honor of Christopher A. Sims, volume 32, pages 395-427, Emerald Group Publishing Limited.
    6. Yongsung Chang & Sunoong Hwang, 2015. "Asymmetric Phase Shifts in U.S. Industrial Production Cycles," The Review of Economics and Statistics, MIT Press, vol. 97(1), pages 116-133, March.
    7. Park, Byeong U. & Simar, Léopold & Zelenyuk, Valentin, 2017. "Nonparametric estimation of dynamic discrete choice models for time series data," Computational Statistics & Data Analysis, Elsevier, vol. 108(C), pages 97-120.
    8. Meller, Barbara & Metiu, Norbert, 2017. "The synchronization of credit cycles," Journal of Banking & Finance, Elsevier, vol. 82(C), pages 98-111.
    9. Don Harding, 2010. "Applying shape and phase restrictions in generalized dynamic categorical models of the business cycle," NCER Working Paper Series 58, National Centre for Econometric Research.
    10. Lahiri, Kajal & Yang, Liu, 2013. "Forecasting Binary Outcomes," Handbook of Economic Forecasting, in: G. Elliott & C. Granger & A. Timmermann (ed.), Handbook of Economic Forecasting, edition 1, volume 2, chapter 0, pages 1025-1106, Elsevier.
    11. Adrian Pagan, 2013. "Patterns and Their Uses," NCER Working Paper Series 96, National Centre for Econometric Research.
    12. Bertrand Candelon & Elena-Ivona DUMITRESCU & Christophe HURLIN & Franz C. PALM, 2011. "Modelling Financial Crises Mutation," LEO Working Papers / DR LEO 1238, Orleans Economics Laboratory / Laboratoire d'Economie d'Orleans (LEO), University of Orleans.
    13. Dungey, Mardi & Jacobs, Jan P.A.M. & Lestano,, 2015. "The internationalisation of financial crises: Banking and currency crises 1883–2008," The North American Journal of Economics and Finance, Elsevier, vol. 32(C), pages 29-47.
    14. Beladi, Hamid & Chao, Chi Chur & Hu, May, 2016. "A macro-analysis of financial decisions: An examination of special dividend announcements," International Review of Financial Analysis, Elsevier, vol. 48(C), pages 162-181.
    15. Gatfaoui, Jamel & Girardin, Eric, 2015. "Comovement of Chinese provincial business cycles," Economic Modelling, Elsevier, vol. 44(C), pages 294-306.
    16. Chan, Felix & Pauwels, Laurent L. & Wongsosaputro, Johnathan, 2013. "The impact of serial correlation on testing for structural change in binary choice model: Monte Carlo evidence," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 93(C), pages 175-189.
    17. Raffaele Mattera, 2023. "Forecasting binary outcomes in soccer," Annals of Operations Research, Springer, vol. 325(1), pages 115-134, June.
    18. Meller, Barbara & Metiu, Norbert, 2015. "The synchronization of European credit cycles," Discussion Papers 20/2015, Deutsche Bundesbank.
    19. Hu, May & Chao, Chi-Chur & Malone, Chris & Young, Martin, 2017. "Real determinants of stock split announcements," International Review of Economics & Finance, Elsevier, vol. 51(C), pages 574-598.
    20. Ms. Natasha X Che & Yoko Shinagawa, 2014. "Financial Soundness Indicators and the Characteristics of Financial Cycles," IMF Working Papers 2014/014, International Monetary Fund.
    21. Francis Bismans & Reynald Majetti, 2013. "Forecasting recessions using financial variables: the French case," Empirical Economics, Springer, vol. 44(2), pages 419-433, April.
    22. Gunnar Bårdsen & Stan Hurn & Kenneth Lindsay, 2019. "Modelling and forecasting wind drought," Working Paper Series 18219, Department of Economics, Norwegian University of Science and Technology.
    23. Park, Byeong U. & Simar, Leopold & Zelenyuk, Valentin, 2013. "Non-Parametric Approach to Dynamic Time Series Discrete Choice Models," LIDAM Discussion Papers ISBA 2013052, Université catholique de Louvain, Institute of Statistics, Biostatistics and Actuarial Sciences (ISBA).

    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. Don Harding & Adrian Pagan, 2006. "The Econometric Analysis of Constructed Binary Time Series," Department of Economics - Working Papers Series 963, The University of Melbourne.
    2. Adrian pagan & Don Harding, 2006. "The Econometric Analysis of Constructed Binary Time Series. Working paper #1," NCER Working Paper Series 1, National Centre for Econometric Research.
    3. Erik Kole & Dick Dijk, 2017. "How to Identify and Forecast Bull and Bear Markets?," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 32(1), pages 120-139, January.
    4. Adrian Pagan, 2005. "Some Econometric Analysis Of Constructed Binary Time Series," CAMA Working Papers 2005-07, Centre for Applied Macroeconomic Analysis, Crawford School of Public Policy, The Australian National University.
    5. Straetmans, S.T.M. & Candelon, B. & Ahmed, J., 2012. "Predicting and capitalizing on stock market bears in the U.S," Research Memorandum 019, Maastricht University, Maastricht Research School of Economics of Technology and Organization (METEOR).
    6. Ahmed, Jameel & Straetmans, Stefan, 2015. "Predicting exchange rate cycles utilizing risk factors," Journal of Empirical Finance, Elsevier, vol. 34(C), pages 112-130.
    7. Viv B. Hall & C. John McDermott, 2007. "Regional business cycles in New Zealand: Do they exist? What might drive them?," Papers in Regional Science, Wiley Blackwell, vol. 86(2), pages 167-191, June.
    8. Adrian Pagan & Don Harding, 2011. "Econometric Analysis and Prediction of Recurrent Events," NCER Working Paper Series 75, National Centre for Econometric Research.
    9. Haase, Felix & Neuenkirch, Matthias, 2023. "Predictability of bull and bear markets: A new look at forecasting stock market regimes (and returns) in the US," International Journal of Forecasting, Elsevier, vol. 39(2), pages 587-605.
    10. Zegadło, Piotr, 2022. "Identifying bull and bear market regimes with a robust rule-based method," Research in International Business and Finance, Elsevier, vol. 60(C).
    11. Ntantamis, Christos & Zhou, Jun, 2015. "Bull and bear markets in commodity prices and commodity stocks: Is there a relation?," Resources Policy, Elsevier, vol. 43(C), pages 61-81.
    12. Harding, Don & Pagan, Adrian, 2001. "Extracting, Using and Analysing Cyclical Information," MPRA Paper 15, University Library of Munich, Germany.
    13. Candelon, Bertrand & Piplack, Jan & Straetmans, Stefan, 2008. "On measuring synchronization of bulls and bears: The case of East Asia," Journal of Banking & Finance, Elsevier, vol. 32(6), pages 1022-1035, June.
    14. Rico Ihle & Ziv Bar‐Nahum & Oleg Nivievskyi & Ofir D. Rubin, 2022. "Russia’s invasion of Ukraine increased the synchronisation of global commodity prices," Australian Journal of Agricultural and Resource Economics, Australian Agricultural and Resource Economics Society, vol. 66(4), pages 775-796, October.
    15. Borsi, Mihály Tamás, 2018. "Credit contractions and unemployment," International Review of Economics & Finance, Elsevier, vol. 58(C), pages 573-593.
    16. Gert Elaut & Michael Frömmel & Alexander Mende, 2017. "Duration Dependence, Behavioral Restrictions, and the Market Timing Ability of Commodity Trading Advisors," International Review of Finance, International Review of Finance Ltd., vol. 17(3), pages 427-450, September.
    17. John M Maheu & Thomas H McCurdy & Yong Song, 2009. "Extracting bull and bear markets from stock returns," Working Papers tecipa-369, University of Toronto, Department of Economics.
    18. John M. Maheu & Thomas H. McCurdy & Yong Song, 2012. "Components of Bull and Bear Markets: Bull Corrections and Bear Rallies," Journal of Business & Economic Statistics, Taylor & Francis Journals, vol. 30(3), pages 391-403, February.
    19. Fernando Henrique De Paula E Silva Mendes & Guilherme Valle Mour, 2014. "Evidências De Bull E Bear Market No Índice Bovespa: Uma Aplicação De Modelos De Regime Markoviano E Duration Dependence," Anais do XLI Encontro Nacional de Economia [Proceedings of the 41st Brazilian Economics Meeting] 138, ANPEC - Associação Nacional dos Centros de Pós-Graduação em Economia [Brazilian Association of Graduate Programs in Economics].
    20. Mai Shibata, 2014. "The Influence of Japan’s Unsecured Overnight Call Rate on Bull and Bear Markets and Market Turns," Asia-Pacific Financial Markets, Springer;Japanese Association of Financial Economics and Engineering, vol. 21(4), pages 331-349, November.

    More about this item

    JEL classification:

    • C22 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models; Diffusion Processes
    • C53 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Forecasting and Prediction Models; Simulation Methods
    • E32 - Macroeconomics and Monetary Economics - - Prices, Business Fluctuations, and Cycles - - - Business Fluctuations; Cycles
    • E37 - Macroeconomics and Monetary Economics - - Prices, Business Fluctuations, and Cycles - - - Forecasting and Simulation: Models and Applications

    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:taf:jnlbes:v:29:y:2011:i:1:p:86-95. 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: Chris Longhurst (email available below). General contact details of provider: http://www.tandfonline.com/UBES20 .

    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.