Suppose a sample Y1, ..., Yn is selected from an exponential distribution with E (Yi) = θ and V (Yi) = θ2. Let θˆ be an estimator of the mean, θ. 1. Explain what a parameter is. What is the parameter of interest in this case? 2. Name the properties of a good estimator and explain, shortly, what is meant by each. (a) (b) (c) 3. Given the properties you discussed in (2) and the parameter of interest identified in (1), what estimator would you propose? 4. What would the sampling distribution of this estimator be? Why?

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Suppose a sample Y1, ..., Yn is selected from an exponential distribution with E (Yi) = θ and V (Yi) = θ2. Let θˆ be an estimator of the mean, θ.
1. Explain what a parameter is. What is the parameter of interest in this case?
2. Name the properties of a good estimator and explain, shortly, what is meant by each. (a)
(b)

(c)
3. Given the properties you discussed in (2) and the parameter of interest identified in (1), what estimator would you propose?
4. What would the sampling distribution of this estimator be? Why?

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