Suppose that 21 observations are taken at random from an

Chapter 7, Problem 15

(choose chapter or problem)

Get Unlimited Answers
QUESTION:

Suppose that 21 observations are taken at random from an exponential distribution for which the mean is unknown ( > 0), the average of 20 of these observations is 6, and although the exact value of the other observation could not be determined, it was known to be greater than 15. Determine the M.L.E. of .

Questions & Answers

QUESTION:

Suppose that 21 observations are taken at random from an exponential distribution for which the mean is unknown ( > 0), the average of 20 of these observations is 6, and although the exact value of the other observation could not be determined, it was known to be greater than 15. Determine the M.L.E. of .

ANSWER:

Step 1 of 3

Let random variables  have joint pdf or pmb

where the parameters  are unknown. When function  is a function of parameters  it is called the likelihood function.

Values  that maximize the likelihood function are the maximum likelihood estimates (mle's), or equally values  for which

for every . By substituting  with , the maximum likelihood estimators are obtained.

Add to cart


Study Tools You Might Need

Not The Solution You Need? Search for Your Answer Here:

×

Login

Login or Sign up for access to all of our study tools and educational content!

Forgot password?
Register Now

×

Register

Sign up for access to all content on our site!

Or login if you already have an account

×

Reset password

If you have an active account we’ll send you an e-mail for password recovery

Or login if you have your password back