Recall that an exponential (λ) random variable X has
![](https://test.transtutors.com/qimg/43a26059-e2d0-444f-a919-251b65d49e93.png)
Thus, to estimate λ from n independent samples X1,..., Xn, either of the following techniques should work.
(a) Calculate the sample mean Mn (X) and form the estimate λˆ = 1/Mn(X).
(b) Calculate the unbiased variance estimate V'n(X) of Theorem 7.11 and form the estimate λ = ![](https://test.transtutors.com/qimg/d74c1197-0d27-416b-9d29-f996f8db14d0.png)
Use Matlab to simulate the calculation
and
for m = 1000 experimental trials to determine which estimate is better.