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Question: again suppose that independent observations 1x2 tn are available...

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Again suppose that independent observations 1,x2,. .. ,Tn are available from the Pareto distribution with pdf on r>1, with 8 >0. You showed in Question 1 that the log-likelihood is 72 ard the MLE of β is TI It also turns out to be the case that rn In this question, interest lies in testing Ho: β= 1 against HI: βメ1 (a) Obtain formulae for both Wald statistics, WI an(I W2, in terms of β (and n) (b) Show that the score statistic, S, can be written s-(1-β)중고 82 (c) What common procedure would nowbe followed to complete each Wald or score test to obtain the appropriate p-value? [There is no need to carry out any calculations.] What is the justification for the distribution that is used?

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