IDEAS home Printed from https://ideas.repec.org/p/ecl/corcae/02-03.html
   My bibliography  Save this paper

Stability in Distribution of Randomly Perturbed Quadratic Maps as Markov Processes

Author

Listed:
  • Bhattacharya, Rabi

    (Indiana U)

  • Majumdar, Mukul

    (Cornell U)

Abstract

Iteration of randomly chosen quadtratic maps defines a Markov process: X[subscript n + 1] = epsilon[subscript n + 1] X[subscript n](1 - X[subscript n]), where epsilon[subscript n] are i.i.d. with values in the parameter space [0, 4] of quadratic maps F[subscript theta](x) = theta*x(1 - x). Its study is of significance not only as an important Markov model, but also for dynamical systems defined by the individual quadratic maps themselves. In this article a broad criterion is established for positive Harris recurrence of X[subscript n], whose invariant probability may be viewed as an approximation to the so-called Kolmogorov measure of a dynamical system.

Suggested Citation

  • Bhattacharya, Rabi & Majumdar, Mukul, 2002. "Stability in Distribution of Randomly Perturbed Quadratic Maps as Markov Processes," Working Papers 02-03, Cornell University, Center for Analytic Economics.
    • Handle: RePEc:ecl:corcae:02-03
    as

    Download full text from publisher

    File URL: https://cae.economics.cornell.edu/bhattquadraticmaps.pdf
    Download Restriction: no
    ---><---

    More about this item

    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:ecl:corcae:02-03. 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.

    We have no bibliographic 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.

    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/cacorus.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.