Consider the family of probability density functions {h(z; ) : }, where h(z; ) =
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Consider the family of probability density functions {h(z; θ) : θ ∈ Ω}, where h(z; θ) = 1/θ, 0 < z < θ, zero elsewhere.
(a) Show that the family is complete provided that Ω = {θ : 0 < θ < ∞}.
(b) Show that this family is not complete if Ω = {θ : 1 < θ < ∞}.
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Related Book For
Introduction To Mathematical Statistics
ISBN: 9780321794710
7th Edition
Authors: Robert V., Joseph W. McKean, Allen T. Craig
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