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

 

EXERCISE 9 Let X,..., Xm be i.i.d. random variables from an exponential distribution with parameter x and Y,..., 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 X, and ?_ Y. i=1 i=1

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