Let X 1 , X 2 , X 3 , . . ., Xn be a random
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Let X1, X2, X3, . . ., Xn be a random sample from a distribution with mean EXi = θ, and variance Var(Xi) = σ2. Consider the following two estimators for θ:
Find MSE(^Θ1) and MSE(^Θ2) and show that for n > 1, we have
Transcribed Image Text:
1. Ôn = X1. X₁. 2. Ô, = X X₁+X₂+...+Xn n
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We have MSE E 0 To find MSE we can write MSE EX EX VarX ...View the full answer
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Related Book For
Introduction To Probability Statistics And Random Processes
ISBN: 9780990637202
1st Edition
Authors: Hossein Pishro-Nik
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