(New page: This problem was done in class during the first week of November. The only thing missing was the Expected value of our max likely estimator lambda. Since we know: <math>\lambda_{ML}=\frac...) |
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Latest revision as of 07:57, 12 November 2008
This problem was done in class during the first week of November. The only thing missing was the Expected value of our max likely estimator lambda. Since we know:
$ \lambda_{ML}=\frac{1}{x}\, $
we know
$ E[\lambda_{ML}]=\frac{1}{E[x]}\, $
and the expected value of an exponential random variable is $ \frac{1}{\lambda}\, $
Thus our estimator is unbiased
