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 need an accessible version of this item please contact JSTOR User Support

Chebyshev Inequality with Estimated Mean and Variance

John G. Saw, Mark C. K. Yang and Tse Chin Mo
The American Statistician
Vol. 38, No. 2 (May, 1984), pp. 130-132
DOI: 10.2307/2683249
Stable URL: http://www.jstor.org/stable/2683249
Page Count: 3
  • Download ($14.00)
  • Cite this Item
If you need an accessible version of this item please contact JSTOR User Support
Chebyshev Inequality with Estimated Mean and Variance
Preview not available

Abstract

Chebyshev's inequality is investigated when the population mean and variance are estimated from a sample. The necessary modification to the inequality is simple and is actually valid when (a) the population moments do not exist and (b) the sample is exchangeably distributed. The latter case would include, for example, a sample taken without replacement from a finite population and the independent and identically distributed case.

Page Thumbnails

  • Thumbnail: Page 
130
    130
  • Thumbnail: Page 
131
    131
  • Thumbnail: Page 
132
    132