In: Statistics and Probability
Determine the Maximum Likelihood Estimator for;
1. λ for the Poisson distribution.
2. θ for the Exponential distribution.
Caveat: These are examples of distributions for which the MLE can be found analytically in terms of the data x1, . . . , xn and so no advanced computational methods are required and also in each assume a random sample of size n, x1, x2, . . . , xn