a 2. (18 points) Suppose that Y1,Y2, ..., Yn is a random sample from a population having common density function у y > 0
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a 2. (18 points) Suppose that Y1,Y2, ..., Yn is a random sample from a population having common density function у y > 0 -A Sulo) = )(1+0) (( ( where 0 > 2 is a parameter and > 0 is known. (a) Verify that f(y(@) belongs to an exponential family in canonical form. (b) Determine the maximum likelihood estimator of O by solving the generalized moment equa- tions as discussed in our course notes titled Exponential Families and Maximum Likelihood Estimation. Note that this is the Lomax distribution which has been used in actuarial science as a model of business failures.