In random sampling from the exponential distribution f (x) (1 )e x , x 0, 0, find the maximum likelihood estimator of and obtain the asymptotic distribution of this estimator ...

The log likelihood is The maximum likelihood estimator is obtai ...

In random sampling from the exponential distribution f (x) = (1/)e x/ , x 0,

Question:

In random sampling from the exponential distribution f (x) = (1/θ)e^−x/θ, x ≥ 0, θ > 0, find the maximum likelihood estimator of θ and obtain the asymptotic distribution of this estimator.

Distribution
The word "distribution" has several meanings in the financial world, most of them pertaining to the payment of assets from a fund, account, or individual security to an investor or beneficiary. Retirement account distributions are among the most...