Solution Found!
Suppose that X1,...,Xn form a random sample
Chapter 7, Problem 12(choose chapter or problem)
QUESTION:
Suppose that X1,...,Xn form a random sample from an exponential distribution for which the value of the parameter is unknown. Show that the sequence of M.L.E.s of is a consistent sequence.
Questions & Answers
QUESTION:
Suppose that X1,...,Xn form a random sample from an exponential distribution for which the value of the parameter is unknown. Show that the sequence of M.L.E.s of is a consistent sequence.
ANSWER:Step 1 of 3
We can prove by using the law of large numbers.
The expected value of a random variable with exponential distribution is,