8- Let X1,..., Xn be i.i.d., each with pdf fa(=) = { 23 2e-=/ for 0 < x < o0 elsewhere, where B> 0. (a) Find a complete sufficient. statistic T for B.

A First Course in Probability (10th Edition)
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8- Let X1,..., Xn be i.i.d., each with pdf
fø(z) = { 2*e-/ for 0 <x < o0
elsewhere,
where B> 0.
(a) Find a complete sufficient, statistic T for B.
(b) Let the statistic W be defined by W(X1,..Xn) X(1)/X(m). Is the
statistic T (of part (a)) independent of the statistic W?
Transcribed Image Text:8- Let X1,..., Xn be i.i.d., each with pdf fø(z) = { 2*e-/ for 0 <x < o0 elsewhere, where B> 0. (a) Find a complete sufficient, statistic T for B. (b) Let the statistic W be defined by W(X1,..Xn) X(1)/X(m). Is the statistic T (of part (a)) independent of the statistic W?
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