Show transcribed image text Problem B.4. Let {Xi be a sequence of independent identically distributed random variables with probability density function hobility deasity ruetio 0 otherwise where θ > 0. (a) If θ s an unknown parameter, find the maximum likelihood estimator Pn of θ based on X (b) Find a sequence of constants (an such that alin. Plan(8-%) x]=G(x) where G is the distribution function of a non-degenerate random variable and for any x> 0, → 00 G does not depend on θ.
Problem B.4. Let {Xi be a sequence of independent identically distributed random variables with probability density function hobility deasity ruetio 0 otherwise where θ > 0. (a) If θ s an unknown parameter, find the maximum likelihood estimator Pn of θ based on X (b) Find a sequence of constants (an such that alin. Plan(8-%) x]=G(x) where G is the distribution function of a non-degenerate random variable and for any x> 0, → 00 G does not depend on θ.
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