Let Y 1 ,Y 2 ,...,Y n be a random sample from a Pareto pdf, f Y
Question:
Let Y1,Y2,...,Yn be a random sample from a Pareto pdf, fY (y; θ) = θ/(1 + y) θ+1 , 0 ≤ y ≤ ∞; 0 < θ < ∞. Write fY (y; θ) in exponential form and deduce a sufficient statistic for θ (see Question 5.6.9).
Data in Question 5.6.9
A pdf gW (w; θ) is said to be expressed in exponential form if it can be written as
where the range of W is independent of θ. Show that is sufficient for θ.
Transcribed Image Text:
gw (w; 0) = eK(w)p(0)+S(w)+q(0)
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Related Book For
Introduction To Mathematical Statistics And Its Applications
ISBN: 9780134114217
6th Edition
Authors: Richard Larsen, Morris Marx
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