Re: Parameter Estimamtion of a Exponential Dist.

From: Timothy Little (tim-via-n.i.net_at_little-possums.net)
Date: 12/18/04


Date: 18 Dec 2004 02:34:57 GMT

carkaci wrote:
> However, I plan to use A'=sqrt(Sample Variance). Does any one have
> an idea about the robustness of the estimation ?

Sample variance is a biased estimator of population variance:
 <sample variance> = A^2 (n-1) / n. I can prove that A' is a biased
estimator of A, but haven't been able to derive a closed expression
for <A'>/A in terms of n.

Unfortunately, setting A' = sqrt(Sample Variance * n / (n-1)) does not
remove the bias.

- Tim



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