Question: 2 Consider the pdf, f(x) = 30% for 0 S x S 0 and zero otherwise. With the parameter 9 > 0. We wish to

2 Consider the pdf, f(x) = 30% for 0 S x S 0 and zero otherwise. With the parameter 9 > 0. We wish to estimate 9 using the sample maximum from a random sample (iid) of size n. 5,: = maxi Xi. (hint: first find the CDF and PDF of the estimator) Show this estimator is consistent Show this estimator is biased Suggest a better estimator and show that it is UC. goo-9: Show that n09 9;) converges (using the original estimator, not your estimator from c) and state the distribution to which it converges

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