EXERCISE 9 Let X,..., Xm be i.i.d. random variables from an exponential distribution with parameter x...

 

Transcribed Image Text:

EXERCISE 9 Let X₁,..., Xm be i.i.d. random variables from an exponential distribution with parameter λx and Y₁,..., Yn be i.i.d. random variables from an exponential distribution with parameter Ay. The two samples are independent. Answer the following questions. a. Find an unbiased estimator of the ratio. Your answer should be a function of b. Use MSE to find the best estimator of of the form =cX. Xy Im ₁ X, and Σ?_₁ Yį. i=1 i=1 EXERCISE 9 Let X₁,..., Xm be i.i.d. random variables from an exponential distribution with parameter λx and Y₁,..., Yn be i.i.d. random variables from an exponential distribution with parameter Ay. The two samples are independent. Answer the following questions. a. Find an unbiased estimator of the ratio. Your answer should be a function of b. Use MSE to find the best estimator of of the form =cX. Xy Im ₁ X, and Σ?_₁ Yį. i=1 i=1

Answer rating: 100% (QA)

Solution a b xi Gamma M XX yi Gamma n xy v ... View the full answer