IDEAS home Printed from https://ideas.repec.org/a/ebl/ecbull/eb-02c10004.html
   My bibliography  Save this article

Markov chain approximation in bootstrapping autoregressions

Author

Listed:
  • Stanislav Anatolyev

    (New Economic School, Moscow)

  • Andrey Vasnev

    (New Economic School, Moscow)

Abstract

We propose a bootstrap algorithm for autoregressions based on the approximation of the data generating process by a finite state discrete Markov chain. We discover a close connection of the proposed algorithm with existing bootstrap resampling schemes, run a small Monte-Carlo experiment, and give an illustrative example.

Suggested Citation

  • Stanislav Anatolyev & Andrey Vasnev, 2002. "Markov chain approximation in bootstrapping autoregressions," Economics Bulletin, AccessEcon, vol. 3(19), pages 1-8.
    • Handle: RePEc:ebl:ecbull:eb-02c10004
    as

    Download full text from publisher

    File URL: http://www.accessecon.com/pubs/EB/2002/Volume3/EB-02C10004A.pdf
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Tauchen, George, 1986. "Finite state markov-chain approximations to univariate and vector autoregressions," Economics Letters, Elsevier, vol. 20(2), pages 177-181.
    2. Potter, Simon M, 1995. "A Nonlinear Approach to US GNP," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 10(2), pages 109-125, April-Jun.
    3. Gregory, Allan W, 1989. "A Nonparametric Test for Autoregressive Conditional Heteroscedasticity: A Markov-Chain Approach," Journal of Business & Economic Statistics, American Statistical Association, vol. 7(1), pages 107-115, January.
    4. Newey, Whitney & West, Kenneth, 2014. "A simple, positive semi-definite, heteroscedasticity and autocorrelation consistent covariance matrix," Applied Econometrics, Russian Presidential Academy of National Economy and Public Administration (RANEPA), vol. 33(1), pages 125-132.
    5. M. Rajarshi, 1990. "Bootstrap in Markov-sequences based on estimates of transition density," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 42(2), pages 253-268, June.
    6. Unknown, 1986. "Letters," Choices: The Magazine of Food, Farm, and Resource Issues, Agricultural and Applied Economics Association, vol. 1(4), pages 1-9.
    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. Cerqueti, Roy & Falbo, Paolo & Guastaroba, Gianfranco & Pelizzari, Cristian, 2013. "A Tabu Search heuristic procedure in Markov chain bootstrapping," European Journal of Operational Research, Elsevier, vol. 227(2), pages 367-384.
    2. Cerqueti, Roy & Falbo, Paolo & Pelizzari, Cristian, 2017. "Relevant states and memory in Markov chain bootstrapping and simulation," European Journal of Operational Research, Elsevier, vol. 256(1), pages 163-177.
    3. Roy Cerqueti & Paolo Falbo & Cristian Pelizzari & Federica Ricca & Andrea Scozzari, 2012. "A Mixed Integer Linear Programming Approach to Markov Chain Bootstrapping," Working Papers 67-2012, Macerata University, Department of Finance and Economic Sciences, revised Nov 2012.
    4. Roy Cerqueti & Paolo Falbo & Cristian Pelizzari & Federica Ricca & Andrea Scozzari, 2017. "A mixed integer linear program to compress transition probability matrices in Markov chain bootstrapping," Annals of Operations Research, Springer, vol. 248(1), pages 163-187, January.

    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. repec:ebl:ecbull:v:3:y:2002:i:19:p:1-8 is not listed on IDEAS
    2. Aruoba, S. Boragan & Fernandez-Villaverde, Jesus & Rubio-Ramirez, Juan F., 2006. "Comparing solution methods for dynamic equilibrium economies," Journal of Economic Dynamics and Control, Elsevier, vol. 30(12), pages 2477-2508, December.
    3. Heer, Burkhard & Süssmuth, Bernd, 2013. "Tax bracket creep and its effects on income distribution," Journal of Macroeconomics, Elsevier, vol. 38(PB), pages 393-408.
    4. Axelle Ferriere & Gaston Navarro, 2013. "The Heterogeneous Effects of Government Spending: It's All About Taxes," Working Papers 13-18, New York University, Leonard N. Stern School of Business, Department of Economics.
    5. Knüppel, Malte, 2014. "Can Capacity Constraints Explain Asymmetries Of The Business Cycle?," Macroeconomic Dynamics, Cambridge University Press, vol. 18(1), pages 65-92, January.
    6. João F Gomes & Marco Grotteria & Jessica A Wachter, 2019. "Cyclical Dispersion in Expected Defaults," The Review of Financial Studies, Society for Financial Studies, vol. 32(4), pages 1275-1308.
    7. Sims, Christopher A. & Waggoner, Daniel F. & Zha, Tao, 2008. "Methods for inference in large multiple-equation Markov-switching models," Journal of Econometrics, Elsevier, vol. 146(2), pages 255-274, October.
    8. Laczó, Sarolta & Rossi, Raffaele, 2020. "Time-consistent consumption taxation," Journal of Monetary Economics, Elsevier, vol. 114(C), pages 194-220.
    9. Pratap, Sangeeta & Urrutia, Carlos, 2004. "Firm dynamics, investment and debt portfolio: balance sheet effects of the Mexican crisis of 1994," Journal of Development Economics, Elsevier, vol. 75(2), pages 535-563, December.
    10. D’Erasmo, P. & Mendoza, E.G. & Zhang, J., 2016. "What is a Sustainable Public Debt?," Handbook of Macroeconomics, in: J. B. Taylor & Harald Uhlig (ed.), Handbook of Macroeconomics, edition 1, volume 2, chapter 0, pages 2493-2597, Elsevier.
    11. Matteo Iacoviello, 2008. "Household Debt and Income Inequality, 1963–2003," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 40(5), pages 929-965, August.
    12. Alisdair McKay, 2011. "Household Saving Behavior and Social Security Privatization," Boston University - Department of Economics - Working Papers Series WP2011-027, Boston University - Department of Economics.
    13. Martin, Fernando M., 2015. "Debt, inflation and central bank independence," European Economic Review, Elsevier, vol. 79(C), pages 129-150.
    14. Alfaro, Laura & Kanczuk, Fabio, 2009. "Optimal reserve management and sovereign debt," Journal of International Economics, Elsevier, vol. 77(1), pages 23-36, February.
    15. Jason Matthew DeBacker, 2015. "Flip‐Flopping: Ideological Adjustment Costs In The United States Senate," Economic Inquiry, Western Economic Association International, vol. 53(1), pages 108-128, January.
    16. Carlo A. Favero, 2007. "Model Evaluation in Macroeconometrics: from early empirical macroeconomic models to DSGE models," Working Papers 327, IGIER (Innocenzo Gasparini Institute for Economic Research), Bocconi University.
    17. Greenwood, Jeremy & Guner, Nezih & Santos, Cezar & Kocharakov, Georgi, 2015. "Technology and the Changing Family: A Unified Model of Marriage, Divorce, Educational Attainment and Married Female Labor-Force," CEPR Discussion Papers 10434, C.E.P.R. Discussion Papers.
    18. Marta González-Torrabadella & Josep Pijoan-Mas, 2006. "Flat tax reforms: a general equilibrium evaluation for Spain," Investigaciones Economicas, Fundación SEPI, vol. 30(2), pages 317-351, May.
    19. Facundo Piguillem & Anderson Schneider, 2013. "Heterogeneous Labor Skills, The Median Voter and Labor Taxes," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 16(2), pages 332-349, April.
    20. Wouter J. Den Haan & Andrew T. Levin, 1995. "Inferences from parametric and non-parametric covariance matrix estimation procedures," International Finance Discussion Papers 504, Board of Governors of the Federal Reserve System (U.S.).
    21. Michael E. Waugh, 2017. "Firm Dynamics and Immigration: The Case of High-Skilled Immigration," NBER Chapters, in: High-Skilled Migration to the United States and Its Economic Consequences, pages 205-238, National Bureau of Economic Research, Inc.

    More about this item

    Keywords

    Bootstrap resampling in time series;

    JEL classification:

    • C1 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General

    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:ebl:ecbull:eb-02c10004. 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: John P. Conley (email available below). General contact details of provider: .

    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.