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Topic: Chebyshev Inequality for Sample Variance
Replies: 5   Last Post: Oct 5, 2010 9:23 AM

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cagdas.ozgenc@gmail.com

Posts: 58
Registered: 3/29/06
Re: Chebyshev Inequality for Sample Variance
Posted: Oct 1, 2010 8:09 PM
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On 1 Ekim, 20:15, Ludovicus <luir...@yahoo.com> wrote:
> On Sep 24, 9:42 am, Cagdas Ozgenc <cagdas.ozg...@gmail.com> wrote:
>

> > How do you adjust Chebyshev Inequality for Sample Variance when
> > Population Variance is not known?

>
> That's impossible because Chebyshev Inequality is an arithmetic
> theorem applied to Probability based in the sample variance.
> Chebyshev Theorem:
> "Given any set of of numbers with Standard deviation s, the fraction
> that deviates more than k.s from the mean is always less than 1/k^2
> Ludovicus


Of course possible. I found a paper regarding this matter,
unfortunately I don't have access to it.

http://www.jstor.org/pss/2683249



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