Access

You are not currently logged in.

Access your personal account or get JSTOR access through your library or other institution:

login

Log in to your personal account or through your institution.

If You Use a Screen Reader

This content is available through Read Online (Free) program, which relies on page scans. Since scans are not currently available to screen readers, please contact JSTOR User Support for access. We'll provide a PDF copy for your screen reader.

An Invariance Principle for φ-Mixing Sequences

Magda Peligrad
The Annals of Probability
Vol. 13, No. 4 (Nov., 1985), pp. 1304-1313
Stable URL: http://www.jstor.org/stable/2244181
Page Count: 10
  • Read Online (Free)
  • Download ($19.00)
  • Subscribe ($19.50)
  • Cite this Item
Since scans are not currently available to screen readers, please contact JSTOR User Support for access. We'll provide a PDF copy for your screen reader.
An Invariance Principle for φ-Mixing Sequences
Preview not available

Abstract

In this paper it is established that the normalized sample paths of a φ-mixing sequence converge to the Brownian motion, under the Lindeberg's condition and under some stationarity assumptions. No mixing rate is required.

Page Thumbnails

  • Thumbnail: Page 
1304
    1304
  • Thumbnail: Page 
1305
    1305
  • Thumbnail: Page 
1306
    1306
  • Thumbnail: Page 
1307
    1307
  • Thumbnail: Page 
1308
    1308
  • Thumbnail: Page 
1309
    1309
  • Thumbnail: Page 
1310
    1310
  • Thumbnail: Page 
1311
    1311
  • Thumbnail: Page 
1312
    1312
  • Thumbnail: Page 
1313
    1313