Let X 1 ,X 2 , . . . , X n be a random sample of
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Let X1,X2, . . . , Xn be a random sample of size n from a geometric distribution that has pmf f(x; θ) = (1 − θ)xθ, x = 0, 1, 2, . . . , 0 < θ < 1, zero elsewhere. Show that Σn1 Xi is a sufficient statistic for θ.
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Proof We need to show that X1 X2 Xn is a sufficient statistic for The set of all ntuple...View the full answer
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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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