IDEAS home Printed from https://ideas.repec.org/p/ssa/lemwps/2015-26.html
   My bibliography  Save this paper

Drift criteria for persistence of discrete stochastic processes on the line

Author

Listed:
  • Giulio Bottazzi
  • Pietro Dindo

Abstract

We provide sufficient conditions for the persistence or transience of stochastic processes on the line based on the sign of the conditional drift. Our findings extend previous results in the literature to the large class of discrete time processes with bounded increments.

Suggested Citation

  • Giulio Bottazzi & Pietro Dindo, 2015. "Drift criteria for persistence of discrete stochastic processes on the line," LEM Papers Series 2015/26, Laboratory of Economics and Management (LEM), Sant'Anna School of Advanced Studies, Pisa, Italy.
  • Handle: RePEc:ssa:lemwps:2015/26
    as

    Download full text from publisher

    File URL: http://www.lem.sssup.it/WPLem/files/2015-26.pdf
    Download Restriction: no

    Citations

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


    Cited by:

    1. Giulio Bottazzi & Pietro Dindo & Daniele Giachini, 2018. "Momentum and Reversal in Financial Markets with Persistent Heterogeneity," LEM Papers Series 2018/04, Laboratory of Economics and Management (LEM), Sant'Anna School of Advanced Studies, Pisa, Italy.
    2. Pietro Dindo, 2015. "Survival in Speculative Markets," LEM Papers Series 2015/32, Laboratory of Economics and Management (LEM), Sant'Anna School of Advanced Studies, Pisa, Italy.
    3. Daniele Giachini, 2018. "Rationality and Asset Prices under Belief Heterogeneity," LEM Papers Series 2018/07, Laboratory of Economics and Management (LEM), Sant'Anna School of Advanced Studies, Pisa, Italy.
    4. Giulio Bottazzi & Pietro Dindo & Daniele Giachini, 2015. "Long-run Heterogeneity in an Exchange Economy with Fixed-Mix Traders," LEM Papers Series 2015/29, Laboratory of Economics and Management (LEM), Sant'Anna School of Advanced Studies, Pisa, Italy.
    5. Giulio Bottazzi & Daniele Giachini, 2016. "Far from the Madding Crowd: Collective Wisdom in Prediction Markets," LEM Papers Series 2016/14, Laboratory of Economics and Management (LEM), Sant'Anna School of Advanced Studies, Pisa, Italy.
    6. Bottazzi, Giulio & Giachini, Daniele, 2017. "Wealth and price distribution by diffusive approximation in a repeated prediction market," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 471(C), pages 473-479.
    7. Giulio Bottazzi & Daniele Giachini, 2018. "New Results on Betting Strategies, Market Selection, and the Role of Luck," LEM Papers Series 2018/08, Laboratory of Economics and Management (LEM), Sant'Anna School of Advanced Studies, Pisa, Italy.

    More about this item

    Keywords

    Discrete-time stochastic processes; asymptotic behavior; persistence and transience;

    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:ssa:lemwps:2015/26. See general information about how to correct material in RePEc.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: () or (Rebekah McClure). General contact details of provider: http://edirc.repec.org/data/labssit.html .

    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.

    We have no references for this item. You can help adding them by using 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.

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

    IDEAS is a RePEc service hosted by the Research Division of the Federal Reserve Bank of St. Louis . RePEc uses bibliographic data supplied by the respective publishers.