Question

roblem 5 (20 points, 10 points each). Explain how you estimate λ and ν2​ : a. Suppose X has a Poisson distribution with parameter λ. Explain how you estimate λ by using first moment and then by using second moment. Are they the same? b. Let {Y1​,Y2​,…,Yn​} denote an i.i.d. sample from a population with a F(ν1​,ν2​) distribution where ν1​ and ν2​ are the numerator and denominator degrees of freedom, respectively. If E(Yi​)=ν2​/(ν2​−2). Derive an estimator of ν2​ using the method of moments.

Answer 1

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