Let X 1 , X 2 , X 3 , . . ., X n be a
Question:
Let X1, X2, X3, . . ., Xn be a random sample from the following distribution
where θ ∈ [−2, 2] is an unknown parameter. We define the estimator ^Θn as
to estimate θ.
a. Is ^Θn an unbiased estimator of θ?
b. Is ^Θn a consistent estimator of θ?
c. Find the mean squared error (MSE) of ^Θn.
Transcribed Image Text:
fx(x) = Jo (x - 2) 0 +1 for 0≤x≤ 1 otherwise
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Related Book For
Introduction To Probability Statistics And Random Processes
ISBN: 9780990637202
1st Edition
Authors: Hossein Pishro-Nik
Question Posted:
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