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  3. consider data that follow an exponential regression with no intercept...

Question: consider data that follow an exponential regression with no intercept...

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Consider data that follow an exponential regression with no intercept y ind exp(Bri), where the scalar parameter β 〉 0 is unknown and the xs 〉 0 are fixed and known for , .. . ,n. That is, Yı,... , Yn are independent random variables with density functions for y > 0. Note that E(Y)- Bxi a) Derive the least squares estimator B, i.e., minimize What are the mean and variance of this estimator? (b) Derive the maximum likelihood estimator β (c) What is the exact (i.e., finite-sample) sampling distribution of β? (d) which estimator, β or β, has smaller variance and why?

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