Consider the data to be 1, 2, 4, 0, 5, 7, 8 and 6. Calculate the MLE estimator for exponential distribution. Using Methods of moments, calculate the variance of uniform distribution.

Order id: TTs261112_60240_2
Assignment title: MLE estimator
1) The pdf of exponential distribution is  
1
, 0
t
f x e x


 
MLE for parameter θ is sample mean.
Here our sample is
1, 2, 4, 0, 5, 7, 8, 6
And sample mean=(1+2+4+0+5+7+8+6)/8=4.125
Hence mle of exponential distribution is =4.125...