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

Alumni Liaison

Meet a recent graduate heading to Sweden for a Postdoctorate.

Christine Berkesch