Let X1, X2, . . . , Xn be a random sample from N(0, ), where 2

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Let X1, X2, . . . , Xn be a random sample from N(0, θ), where σ2 = θ > 0 is unknown. Argue that the sufficient statistic
ΣLiαΧ// ΣΗX Y = E X? for 0 and Z i3D1

are independent.

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Probability and Statistical Inference

ISBN: 978-0321923271

9th edition

Authors: Robert V. Hogg, Elliot Tanis, Dale Zimmerman

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